<?xml version="1.0" encoding="UTF-8" standalone="no"?><rss xmlns:atom="http://www.w3.org/2005/Atom" xmlns:blogger="http://schemas.google.com/blogger/2008" xmlns:gd="http://schemas.google.com/g/2005" xmlns:georss="http://www.georss.org/georss" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:openSearch="http://a9.com/-/spec/opensearchrss/1.0/" xmlns:thr="http://purl.org/syndication/thread/1.0" version="2.0"><channel><atom:id>tag:blogger.com,1999:blog-6219031879383390708</atom:id><lastBuildDate>Fri, 28 Nov 2025 10:02:48 +0000</lastBuildDate><category>C Programming</category><category>Data Structure</category><category>Numerical Methods</category><category>MySQL Database</category><category>Articles</category><category>Android Developement</category><category>Blogger Tips</category><category>Computer Architecture</category><category>HTML</category><category>Advanced PHP</category><category>Artificial Intelligenece</category><category>Download Ebook</category><category>Laravel</category><category>My Videos</category><category>Unity Game Development</category><category>Web Design</category><category>Download Documentation</category><category>Download Free Blog Template</category><category>Java Programming</category><category>MatLab Code</category><category>Simulation and Modeling</category><category>Blogging Career</category><category>Bootstrap Offline Documentation</category><category>Bootstrap Templates</category><category>Difference Between</category><category>Earning Money</category><category>Electrical Electronics</category><category>Guest Posts</category><category>Laravel Bangla Tutorial</category><category>Offline Documentation</category><category>Recent Topics</category><category>Web Development</category><title>Maniruzzaman Akash's Blog</title><description>Maniruzzaman Akash, A programmer, A web programmer, a helpful person to share knowledge and everything..</description><link>https://maniruzzaman-akash.blogspot.com/</link><managingEditor>noreply@blogger.com (Maniruzzaman Akash)</managingEditor><generator>Blogger</generator><openSearch:totalResults>71</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><language>en-us</language><itunes:explicit>no</itunes:explicit><itunes:subtitle>Maniruzzaman Akash, A programmer, A web programmer, a helpful person to share knowledge and everything..</itunes:subtitle><itunes:owner><itunes:email>noreply@blogger.com</itunes:email></itunes:owner><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-3030217978535838682</guid><pubDate>Sun, 24 Jun 2018 18:06:00 +0000</pubDate><atom:updated>2018-06-25T00:25:09.436+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Guest Posts</category><title>‘Do My Assignment for Me’ Orders: All Kinds of Difficult Projects Done with Ease</title><description>&lt;h2 style="text-align: center;"&gt;
‘Do My Assignment for Me’ Orders: All Kinds of Difficult Projects Done with Ease&lt;/h2&gt;
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&amp;nbsp; &amp;nbsp; Students dealing with their programming degree program usually get stuck in the process, as accomplishing the assignments like research papers on JAVA, reports on Python or app development, or any programming issues is a challenging task for them. Most of the discipline homework projects are time-consuming and quite frustrating. Thus, it makes hard for the college and university students to get the assignments done within the set date and they search for a professional programming projects writing services. &lt;b&gt;You don’t need to make it a terrible educational experience, so be sure to approach one of the custom writing websites available online with a quick message like ‘Could you please &lt;a href="https://assigncode.com/" target="_blank"&gt;do my assignment&lt;/a&gt;?’ AssignCode.com is one of the sites, where professional programming solutions are provided&lt;/b&gt;. Perfection in every ‘Please, make my assignment shine!’ order is what the company guarantees for a fair price.&amp;nbsp;&lt;/div&gt;
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&amp;nbsp;The company has a huge team of experts of the computer science ready to provide educational help and assignment writing guidance. The people working for AssignCode.com will address any high school, college or university problem which you may be facing performing a specific task. 
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Make My Assignment: Different Programming Languages Covered! &lt;/h2&gt;
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&amp;nbsp; &amp;nbsp; When your college project has something to do with the programming languages, you may find it too hard to work on one since there are more than 800 of them! But for the companies like AssignCode.com impossible is nothing. You place the ‘Make my assignment for me, please’ order and make sure all the requirements are being provided. The company assigns your project with the best writer, who has the relevant experience with the programming languages and is free at the moment. &lt;/div&gt;
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&amp;nbsp; &amp;nbsp; The various fields, or programming languages, in which the company renders programming assistance services are: Python, Ruby, C++, PHP, C#, JavaScript, SQL, etc. The team of IT specialists work hand-in-hand to provide you with the top quality answers for the most difficult projects on the languages mentioned above and many more.  Their knowledge, efforts and experience lead to a supreme quality assignments that is written professionally from both aspects – practical and theoretical. 
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&lt;b id="docs-internal-guid-57ee8346-3304-33ab-6075-34e4f8f19b0f" style="font-weight: normal;"&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;
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&lt;span style="background-color: transparent; color: black; font-family: &amp;quot;calibri&amp;quot;; font-size: 11pt; font-style: normal; font-variant: normal; font-weight: 700; text-decoration: none; vertical-align: baseline; white-space: pre;"&gt;&lt;a href="https://assigncode.com/" target="_blank"&gt;&lt;img alt="C:\Users\Валентина\Desktop\Без імені.png" src="https://lh3.googleusercontent.com/SWMPSvtkpbyElAXe47Fsc4Xx78zpzUnOSMyW2Smxvs03hMTui0hPWMVRywREBd_kBhMvizzxXD7oUc8NiAMaH-EGvp1bxCmP5_C2fsyfwobVtLFyuNkldKeXMv-fRH1TNvSdMnG8qjyiexsrNA" style="border: none; transform: rotate(0rad);" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;
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AssignCode.com: Why Do You Need Help with Programming Tasks? &lt;/h2&gt;
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&amp;nbsp; &amp;nbsp; The company’s years of experience in communication with college students taking a programming course suggest that nearly every student has to handle certain problems while working on the various projects. Among the reasons that make professional help from someone at AssignCode.com necessary are the ones mentioned below: &lt;/div&gt;
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&lt;li&gt;&lt;b&gt;&lt;u&gt;Difficulty&lt;/u&gt;&lt;/b&gt;. As mentioned earlier, programming is one of the areas students need a dedicated helper in. Being a real expert at it requires dozens of time, determination and focus. In order to grasp the subject as good as possible, it should find a competent academic problem solver from the website like &lt;a href="http://assigncode.com/"&gt;AssignCode.com&lt;/a&gt;.&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;u&gt;Demanding discipline&lt;/u&gt;&lt;/b&gt;. Taking into account the fact that the subject is quite vast and demanding, it’s no wonder college students search for the cheap writing services to approach with their ‘Do you have skilled writers, who can write my programming paper for me?’ message. Typically, students have more than 2-3 tasks to solve at a time, which is why working with &lt;a href="http://assigncode.com/"&gt;AssignCode.com&lt;/a&gt; is always a good idea.&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;u&gt;Lack of time&lt;/u&gt;&lt;/b&gt;. One of the reasons why you approach custom writing companies to buy a project from lies in the fact that you don’t have enough time to memorize all the codes and programing languages. &lt;a href="http://assigncode.com/"&gt;AssignCode.com&lt;/a&gt; company offers pocket-friendly options for money to help you deal with the time-consuming projects.&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;u&gt;Supervision&lt;/u&gt;&lt;/b&gt;. Here’s one of the major reasons why you’ll be there next time you’re assigned with the programming assignment – the lack of supervision. If you don’t know how to cope with the MBA programming assignment, please, feel free to approach &lt;a href="http://assigncode.com/"&gt;AssignCode.com&lt;/a&gt; for some guidance.&lt;/li&gt;
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&lt;b id="docs-internal-guid-855e7a4f-3306-7718-0d8f-e5bfce75772b" style="font-weight: normal;"&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;
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&lt;span style="background-color: transparent; color: black; font-family: &amp;quot;calibri&amp;quot;; font-size: 11pt; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; vertical-align: baseline; white-space: pre;"&gt;&lt;a href="https://assigncode.com/" target="_blank"&gt;&lt;img alt="C:\Users\Валентина\Desktop\Без імені.png" src="https://lh5.googleusercontent.com/hkjV_cMimZta3ICzZcKqILkOLEIKGlZXWxTo4S7faqBjYPosaHFEdCaTdCbD3i_9_pDk6uRA391ZT0iht-VUtOJ0lRZFQarAfUz373k1km_Z5dGNwFcQPwEGqIb9xbEXVPfb4Kk2XMXlJ-E7JA" style="border: none; transform: rotate(0rad);" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;
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&amp;nbsp; &amp;nbsp; If you don’t compose the programming assignments properly and within the required deadline, look for professional help from a reliable source. &lt;a href="http://assigncode.com/"&gt;AssignCode.com&lt;/a&gt; won’t let you slip on your grades, that’s for sure.&lt;br /&gt;
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</description><link>https://maniruzzaman-akash.blogspot.com/2018/06/do-my-assignment-for-me-orders-all.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://lh3.googleusercontent.com/SWMPSvtkpbyElAXe47Fsc4Xx78zpzUnOSMyW2Smxvs03hMTui0hPWMVRywREBd_kBhMvizzxXD7oUc8NiAMaH-EGvp1bxCmP5_C2fsyfwobVtLFyuNkldKeXMv-fRH1TNvSdMnG8qjyiexsrNA=s72-c" width="72"/><thr:total>10</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-7527628212705241720</guid><pubDate>Mon, 21 May 2018 06:47:00 +0000</pubDate><atom:updated>2018-06-30T00:02:58.374+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Recent Topics</category><title>ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule</title><description>&lt;h3&gt;
ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল - FIFA World Cup 2018 - Bangladesh Time Schedule&lt;/h3&gt;
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২০১৮ সালের ফুটবল বিশ্বকাপ অনুষ্ঠিত হবে রাশিয়ায় - ২০১৮ সালের ১৪ জুন। ঈদের মাত্র দুইদিন আগেই শুরু হবে এই উত্তেজনাকর বিশ্বকাপ ফুটবল ২০১৮। বাংলাদেশের হাজার হাজার সমর্থক পাগল হয়ে এই বিশ্বকাপ খেলা দেখেন।&lt;br /&gt;
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বিশ্বকাপ ফুটবল বাংলাদেশের জন্য সবচেয়ে বড় কোনো খেলার উৎসব যেন। কারো প্রিয় দল জিতলে যে পরিমাণ ভাল লাগা পাগলামী কাজ করে তা বাংলাদেশের অন্য কোনো খেলায় খুঁজে পাওয়া যায়না।&lt;br /&gt;
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&lt;li&gt;এইবারের&amp;nbsp;ফিফা ওয়ার্ল্ড কাপ ২০১৮ বিশ্বকাপে মোট&lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt; ৩২ টি দল&lt;/span&gt;&lt;/u&gt;&lt;/b&gt; অংশগ্রহণ করবে।&amp;nbsp;&lt;/li&gt;
&lt;li&gt;এটি &lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;২১তম&lt;/span&gt;&lt;/u&gt;&lt;/b&gt; ফিফা বিশ্বকাপ&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;span style="color: red;"&gt;হোস্ট&lt;/span&gt;&lt;/b&gt; কান্ট্রি হল - &lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;রাশিয়া&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;/li&gt;
&lt;li&gt;মোট ম্যাচ অনুষ্ঠিত হবে &lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;৬৪ টি&lt;/span&gt;&lt;/u&gt;&lt;/b&gt; ।&lt;/li&gt;
&lt;li&gt;রাশিয়ার&amp;nbsp; প্রায় &lt;u&gt;&lt;b&gt;&lt;span style="color: red;"&gt;১১ টির মত শহরে&lt;/span&gt;&lt;/b&gt;&lt;/u&gt; এই খেলাগুলো অনুষ্ঠিত হবে মোট&lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt; ১২ টি ভেন্যুতে&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;।&lt;/li&gt;
&lt;li&gt;ফিফা ওয়ার্ল্ড কাপ ২০১৮ এর &lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;ফাইনাল অনুষ্ঠিত হবে ১৫ই জুলাই ২০১৮&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;।&lt;/li&gt;
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&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdPY1YGbQC5o0YTWEZupGrNdwZmvfsLcx1utH7GrQ9m6BtNYeqBQrFNpI3YxepX89JJ6XXm3ITPyOeslGqo8ClYBaVb4KfxFe8Zznuwy0Wex6REmqEAzBjkOFBgYWPXIh2ffQggSw9CJih/s1600/World+Cup+Football+Time+shedule+%25282%2529.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img alt="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" border="0" data-original-height="918" data-original-width="436" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdPY1YGbQC5o0YTWEZupGrNdwZmvfsLcx1utH7GrQ9m6BtNYeqBQrFNpI3YxepX89JJ6XXm3ITPyOeslGqo8ClYBaVb4KfxFe8Zznuwy0Wex6REmqEAzBjkOFBgYWPXIh2ffQggSw9CJih/s1600/World+Cup+Football+Time+shedule+%25282%2529.jpg" title="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" /&gt;&lt;/a&gt;&lt;/div&gt;
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এইটা ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল । এখানে শুরু থেকে শেষ পর্যন্ত বিশ্বকাপ ফুটবলে কোন দলের সাথে কোন দলের খেলা তা শিডিউল করে দেখানো হয়েছে তাও আবার বাংলাদেশি সময় বিবেচনা করে।&lt;br /&gt;
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FIFA World cup 2018 qualifiers are :&lt;/h3&gt;
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Group A: Russia (host country), Saudi Arabia, Egypt, and Uruguay.&lt;br /&gt;
GROUP B: Portugal, Spain, Morocco and IR Iran.&lt;br /&gt;
GROUP C: France, Australia, Peru, and Denmark.&lt;br /&gt;
GROUP D: Argentina, Iceland, Croatia &amp;amp; Nigeria.&lt;br /&gt;
GROUP E: Brazil, Switzerland, Costa Rica, and Serbia.&lt;br /&gt;
GROUP F, Germany, Mexico, Sweden, Korea Republic.&lt;br /&gt;
GROUP G : Belgium, Panama, Tunisia, England.&lt;br /&gt;
GROUP H : Poland, Senegal, Colombia, Japan.&lt;br /&gt;
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ফিফা ওয়ার্ল্ড কাপ ২০১৮ এর বিভিন্ন গ্রুপের তালিকা।&lt;br /&gt;
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&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRLaL6UUUXvxrJoSQQ8a9gGyvgaZZle_alIQjED6PeR8nUxl5X0jvZsbVAijD5mMf2OxzNiKI3OIH1uTJ1t8AHJJv_SRiytK98IElrvK1wrswtbB5Z-YCd3WZvlxSCtvzCvYFGEglfQjSZ/s1600/2018-FIFA-World-Cup-Russia%25E2%2584%25A2-Final-Draw-1-December-2017-FIFA-com.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img alt="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" border="0" data-original-height="688" data-original-width="1198" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRLaL6UUUXvxrJoSQQ8a9gGyvgaZZle_alIQjED6PeR8nUxl5X0jvZsbVAijD5mMf2OxzNiKI3OIH1uTJ1t8AHJJv_SRiytK98IElrvK1wrswtbB5Z-YCd3WZvlxSCtvzCvYFGEglfQjSZ/s1600/2018-FIFA-World-Cup-Russia%25E2%2584%25A2-Final-Draw-1-December-2017-FIFA-com.png" title="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" /&gt;&lt;/a&gt;&lt;/div&gt;
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এবারের&amp;nbsp;ফিফা ওয়ার্ল্ড কাপ ২০১৮&amp;nbsp; এর ফাইনাল কাপের ছবি দেখুন -&lt;br /&gt;
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&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGy09ke5WivKh4yGkXNJb5riL72MqnUM1L00yOgmLhSCSpKB6oym-IkrNIjgaJCK1Fcd-GG8WuZHa1d1Wpsq7sGDIAmZW1_OQWlnfZ239rKGcljKJiV7FcS20iKXh0S4406NxaVmieo66z/s1600/227px-2018_FIFA_World_Cup.svg.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img alt="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" border="0" data-original-height="250" data-original-width="227" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGy09ke5WivKh4yGkXNJb5riL72MqnUM1L00yOgmLhSCSpKB6oym-IkrNIjgaJCK1Fcd-GG8WuZHa1d1Wpsq7sGDIAmZW1_OQWlnfZ239rKGcljKJiV7FcS20iKXh0S4406NxaVmieo66z/s1600/227px-2018_FIFA_World_Cup.svg.png" title="ফিফা ওয়ার্ল্ড কাপ ২০১৮ শিডিউল এবং সমস্ত আপডেট- FIFA World Cup 2018 - Bangladesh Time Schedule" /&gt;&lt;/a&gt;&lt;/div&gt;
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এখান থেকে &lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdPY1YGbQC5o0YTWEZupGrNdwZmvfsLcx1utH7GrQ9m6BtNYeqBQrFNpI3YxepX89JJ6XXm3ITPyOeslGqo8ClYBaVb4KfxFe8Zznuwy0Wex6REmqEAzBjkOFBgYWPXIh2ffQggSw9CJih/s1600/World+Cup+Football+Time+shedule+%25282%2529.jpg" target="_blank"&gt;ফিকশ্চার ইমেইজ টিতে ক্লিক করে ইমেইজটি পুরো রেজুলেশনে ডাওনলোড করুন&lt;/a&gt;।&lt;br /&gt;
&lt;br /&gt;
এখন পর্যন্ত বিশ্বকাপ ফুটবল ২০১৮ এর পয়েন্ট টেবিল -&lt;br /&gt;
&lt;br /&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group A&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag uruguay" href="https://www.livesoccertv.com/countries/uruguay/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -17226px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Uruguay&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+5&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;9&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag russia" href="https://www.livesoccertv.com/countries/russia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -13530px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Russia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+4&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;6&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag saudi-arabia" href="https://www.livesoccertv.com/countries/saudi-arabia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -13992px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Saudi Arabia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-5&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag egypt" href="https://www.livesoccertv.com/countries/egypt/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -5280px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Egypt&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-4&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;0&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group B&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag spain" href="https://www.livesoccertv.com/countries/spain/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -14982px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Spain&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;5&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag portugal" href="https://www.livesoccertv.com/countries/portugal/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -13068px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Portugal&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;5&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag iran" href="https://www.livesoccertv.com/countries/iran/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -7788px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Iran&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;0&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;4&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag morocco" href="https://www.livesoccertv.com/countries/morocco/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -10956px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Morocco&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-2&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;1&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group C&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag france" href="https://www.livesoccertv.com/countries/france/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -6072px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;France&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+2&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;7&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag denmark" href="https://www.livesoccertv.com/countries/denmark/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -4884px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Denmark&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;5&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag peru" href="https://www.livesoccertv.com/countries/peru/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -12870px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Peru&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;0&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag australia" href="https://www.livesoccertv.com/countries/australia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -1056px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Australia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;1&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group D&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag croatia" href="https://www.livesoccertv.com/countries/croatia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -4620px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Croatia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+6&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;9&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag argentina" href="https://www.livesoccertv.com/countries/argentina/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -792px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Argentina&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-2&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;4&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag nigeria" href="https://www.livesoccertv.com/countries/nigeria/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -11880px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Nigeria&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag iceland" href="https://www.livesoccertv.com/countries/iceland/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -7590px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Iceland&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;1&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group E&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag brazil" href="https://www.livesoccertv.com/countries/brazil/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -2244px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Brazil&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+4&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;7&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag switzerland" href="https://www.livesoccertv.com/countries/switzerland/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -15708px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Switzerland&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;5&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag serbia" href="https://www.livesoccertv.com/countries/serbia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -14190px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Serbia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-2&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag costa-rica" href="https://www.livesoccertv.com/countries/costa-rica/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -4422px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Costa Rica&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;1&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group F&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag sweden" href="https://www.livesoccertv.com/countries/sweden/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -15642px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Sweden&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;6&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag mexico" href="https://www.livesoccertv.com/countries/mexico/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -10494px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Mexico&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-1&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;6&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag korea-republic" href="https://www.livesoccertv.com/countries/korea-republic/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -8778px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Korea Republic&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;0&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag germany" href="https://www.livesoccertv.com/countries/germany/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -6402px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Germany&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-2&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group G&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag belgium" href="https://www.livesoccertv.com/countries/belgium/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -1584px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Belgium&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+7&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;9&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag england" href="https://www.livesoccertv.com/countries/england/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -5412px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;England&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+5&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;6&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag tunisia" href="https://www.livesoccertv.com/countries/tunisia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -16566px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Tunisia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;-3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag panama" href="https://www.livesoccertv.com/countries/panama/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -12672px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Panama&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-9&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;0&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;div class="listColWC" style="float: left; font-family: &amp;quot;trebuchet ms&amp;quot;, Arial, serif; font-size: 13px; padding-left: 10px; white-space: nowrap; width: 230px;"&gt;
&lt;table border="0" cellpadding="2" cellspacing="2" style="border-collapse: inherit; border: 1px solid rgb(221, 221, 221); font-size: 1em; height: 0px; margin: 20px 0px 0px; width: 210px;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;th style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);"&gt;&lt;/th&gt;&lt;th align="left" class=" darkgrey f14" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204); color: #333333; font-size: 14px;"&gt;Group H&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Matches Played" width="20"&gt;MP&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Goal Difference" width="20"&gt;GD&lt;/th&gt;&lt;th align="center" style="background-color: #eeeeee; border-bottom: 1px solid rgb(204, 204, 204);" title="Points" width="20"&gt;P&lt;/th&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;1&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag colombia" href="https://www.livesoccertv.com/countries/colombia/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -3828px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Colombia&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;+3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;6&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;2&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag japan" href="https://www.livesoccertv.com/countries/japan/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -8316px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Japan&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;0&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;4&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: 1px solid rgb(221, 221, 221); font-size: 12px; padding-left: 7px;" width="15"&gt;3&lt;/td&gt;&lt;td style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;&lt;a class="flag senegal" href="https://www.livesoccertv.com/countries/senegal/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -14124px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Senegal&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;0&lt;/td&gt;&lt;td align="center" style="border-bottom: 1px solid rgb(221, 221, 221);"&gt;4&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td align="center" class="medium tbl_wcnone" style="border-bottom: none; font-size: 12px; padding-left: 7px;" width="15"&gt;4&lt;/td&gt;&lt;td style="border-bottom: none;"&gt;&lt;a class="flag poland" href="https://www.livesoccertv.com/countries/poland/" style="background-attachment: initial; background-clip: initial; background-image: url(&amp;quot;//cdn.livesoccertv.com/images/flags16x16.png&amp;quot;); background-origin: initial; background-position: 0px -13002px; background-repeat: no-repeat; background-size: initial; color: #005782; padding-bottom: 5px; padding-left: 20px; text-decoration-line: none;"&gt;Poland&lt;/a&gt;&lt;a href="https://draft.blogger.com/null" style="color: #005782;"&gt;&lt;/a&gt;&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;-3&lt;/td&gt;&lt;td align="center" style="border-bottom: none;"&gt;3&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;/div&gt;
&lt;br /&gt;</description><link>https://maniruzzaman-akash.blogspot.com/2018/05/fifa-world-cup-2018-bangladesh-time.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdPY1YGbQC5o0YTWEZupGrNdwZmvfsLcx1utH7GrQ9m6BtNYeqBQrFNpI3YxepX89JJ6XXm3ITPyOeslGqo8ClYBaVb4KfxFe8Zznuwy0Wex6REmqEAzBjkOFBgYWPXIh2ffQggSw9CJih/s72-c/World+Cup+Football+Time+shedule+%25282%2529.jpg" width="72"/><thr:total>26</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-7764763520012211824</guid><pubDate>Thu, 15 Feb 2018 14:56:00 +0000</pubDate><atom:updated>2018-02-18T01:41:20.589+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Advanced PHP</category><category domain="http://www.blogger.com/atom/ns#">Laravel</category><category domain="http://www.blogger.com/atom/ns#">Laravel Bangla Tutorial</category><title>Laravel Bangla Video Tutorial for beginner level Developer - Bangla Tutorials</title><description>&lt;h3&gt;
Laravel Bangla Video Tutorial for beginner level Developer - Bangla Tutorials&lt;/h3&gt;
&lt;div&gt;
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&lt;h3&gt;
In Bangla,&lt;/h3&gt;
&lt;div&gt;
আপনি কি ওয়েবসাইট ডেভেলপ করতে চান যেটা ২০১৫,২০১৬,২০১৭ এবং ২০১৮ সাল পর্যন্ত সবচেয়ে সেরা ওয়েব ডেভেলপমেন্টের ফ্রেইমওয়ার্ক - হুম আমি লারাভেল পিএইচপি ফ্রেইমওয়ার্ক এর কথা বলছি। আমি যখন প্রথম লারাভেল শিখি আমার স্টার্ট করতে অনেক সময় লেগে যায় ভাল কোনো বাংলা টিউটরিয়াল লারাভেলের উপর না থাকার কারনে। তাই লারাভেল সম্পর্কে পুরোপুরি আয়ত্ত করার পর ভাবলাম আপনাদের জন্য কিছু করি আর সে থেকেই আপনাদের জন্য লারাভেলের উপর বাংলায় সহজ ভাবে ভিডিও টিউটরিয়াল বানালাম। ইউটিউবে প্লেলিস্ট এর লিংক -&lt;br /&gt;
&lt;a href="https://www.youtube.com/playlist?list=PL_ftyCsXJUO7wmfTVBYQNY0bMBasVqKTP"&gt;https://www.youtube.com/playlist?list=PL_ftyCsXJUO7wmfTVBYQNY0bMBasVqKTP&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
সম্পূর্ণ প্লে লিস্ট -&lt;/h3&gt;
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&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/videoseries?list=PL_ftyCsXJUO7wmfTVBYQNY0bMBasVqKTP" width="560"&gt;&lt;/iframe&gt;
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&lt;h3&gt;
লারাভেল বাংলা টিউটোরিয়াল - পার্ট ১ - লারাভেল ইন্সটলেশন&lt;/h3&gt;
&lt;div&gt;
&lt;b&gt;&lt;u&gt;লারাভেলের সম্পূর্ণ ইন্সটলেশন প্রসেস&lt;/u&gt;&lt;/b&gt; - লারাভেলের এই টিউটোরিয়ালে আমি দেখিয়েছি কিভাবে একটি সম্পূর্ণ নতুন লারাভেলের প্রজেক্ট সেটাপ এবং রান করতে হয়। ভিডিওটি দেখুন -&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
How to install Laravel Bangla Tutorial. In this tutorial of Laravel I've shown that how to install Laravel in your device as a beginner. Video is here&amp;nbsp;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/rK1BwLcY8SM" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;h3&gt;
লারাভেল বাংলা টিউটোরিয়াল - পার্ট ২ - লারাভেল বেসিক মডেল, ভিউ, কন্ট্রোলার&lt;/h3&gt;
&lt;b&gt;&lt;u&gt;লারাভেলের সব বেসিক - লারাভেলের রাউট, মডেল, ভিউ, কন্ট্রোলার &lt;/u&gt;&lt;/b&gt;- লারাভেলের এই টিউটোরিয়ালে আমি দেখিয়েছি কিভাবে লারাভেলের মডেল, ভিউ, কন্ট্রোলার গুলো কাজ করে। ভিডিওটি দেখুন -&lt;br /&gt;
&lt;br /&gt;
In this Laravel bangla video tutorial, I've shown you the basics of Laravel Like - Laravel route, model, view, controller etc. Just see the video -&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/Aau1NT31B2I" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;h3&gt;
লারাভেল বাংলা টিউটোরিয়াল - পার্ট ৩ - স্টুডেন্ট ম্যানেজমেন্ট ১&lt;/h3&gt;
লারাভেল বাংলা ভিডিও টিউটোরিয়ালের এই পর্বে আমরা দেখব কিভাবে লারাভেলে ডাটাবেজ কানেকশন করতে হয়, কিভাবে নতুন টেবিল তৈরি করা যায় লারাভেলে, সেই টেবিল থেকে ডাটা ক্লায়েন্ট পেইজে প্রদর্শন করানো। ভিডিওটি দেখুন -&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/VpWqqyfsgjg" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;h3&gt;
লারাভেল বাংলা টিউটোরিয়াল - পার্ট ৪ - স্টুডেন্ট ম্যানেজমেন্ট ২ - ডাটাবেজে ডাটা ইনসার্ট&lt;/h3&gt;
লারাভেল বাংলা ভিডিও টিউটোরিয়ালসের এই পর্বে আমরা দেখব কিভাবে লারাভেলে ডাটাবেজে ডাটা ইনসার্ট করতে হয় -&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/bQMjalTKnds" width="560"&gt;&lt;/iframe&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
লারাভেল বাংলা টিউটোরিয়াল - পার্ট ৫ - স্টুডেন্ট ম্যানেজমেন্ট ৩ - ডাটাবেজে ডাটা ইডিট, ডিলিট&lt;/h3&gt;
লারাভেল বাংলা ভিডিও টিউটোরিয়ালসের এই পর্বে আমরা দেখব কিভাবে লারাভেলে ডাটাবেজে ডাটা ইডিট, ডিলেট করতে হয় - ভিডিওটি দেখুন -&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allow="autoplay; encrypted-media" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/SKLNaQakulg" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;br /&gt;
[বিঃদ্রঃ লারাভেলের সবগুলো ভিডিও দেখতে এই প্লেলিস্ট এ যান - &lt;a href="https://www.youtube.com/playlist?list=PL_ftyCsXJUO7wmfTVBYQNY0bMBasVqKTP"&gt;https://www.youtube.com/playlist?list=PL_ftyCsXJUO7wmfTVBYQNY0bMBasVqKTP&lt;/a&gt;]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
In English,&lt;/h3&gt;
&lt;div&gt;
Do you want to develop website with the 2015, 2016, 2017 and still 2018's most popular web framewor made by PHP &lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;Laravel&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;. Then this is the best Bangla tutorial for developer who wants to learn Laravel PHP framework in bangla. These tutorials is for the beginner level web developers who wants to develop site with Laravel PHP framework.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
In this tutorial when I made this is January 2018 and still then Laravel version is 5.6. I've done these tutorials with Laravel 5.6 and so everything will be cleared to you.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
So start developing your web skills with the most popular Web Framework - Laravel.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Before starting I'll say - I Love Laravel. I've just fallen love with it. It is more than awesome than you imagine. Just go deep into it.&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2018/02/laravel-bangla-video-tutorial-for.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/videoseries/default.jpg" width="72"/><thr:total>4</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-5626728681219393746</guid><pubDate>Thu, 26 Oct 2017 16:45:00 +0000</pubDate><atom:updated>2017-10-26T22:46:51.954+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Advanced PHP</category><category domain="http://www.blogger.com/atom/ns#">Laravel</category><title>How to import Excel,CSV file in Laravel And insert data in database</title><description>&lt;h3&gt;
How to import Excel,CSV file in Laravel And insert data in database&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
When There's a lot of Data is necessary to insert, then inserting data's from an Excel file really necessary. This tutorial will show you how to insert or import data to Database from an Excel or CSV file.&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
See Complete Tutorials with Code Explanation how to insert data in Database using Laravel Excel - &lt;a class="btn btn-warning" href="https://laraveleasytutorials.blogspot.com/2017/10/how-to-import-excel-file-in-laravel-and.html" target="_blank"&gt;Tutorial Link&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;
Demo Screen shots of Import Data from Excel File in Laravel.&lt;br /&gt;
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&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzAF-I-eCzBs7ep9k_E3dU3rUDRid2PtLTsvqvP6wm8MN-HQEeUJdwFKvbOdCeAgcq8FWf8eDlDHXyEWK-5Yy5lkrn0EuizDs75ZGHm2g6aRBYlAvpOgNYp3nPSmre2L0HILWWe4pHfldU/s1600/Laravel-Excel-File-Data-Insert.jpg" imageanchor="1"&gt;&lt;img alt="How to import Excel,CSV file in Laravel And insert data in database" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzAF-I-eCzBs7ep9k_E3dU3rUDRid2PtLTsvqvP6wm8MN-HQEeUJdwFKvbOdCeAgcq8FWf8eDlDHXyEWK-5Yy5lkrn0EuizDs75ZGHm2g6aRBYlAvpOgNYp3nPSmre2L0HILWWe4pHfldU/s1600/Laravel-Excel-File-Data-Insert.jpg" title="How to import Excel,CSV file in Laravel And insert data in database" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeclpU38gzmNCnVqNhAwnq9QlyCyr1guVGq11ORAFFoGGhcIHtPPOcx_oSFijBrztEFwkM4Cmi40eFlaaRgd74sWnh1w4_t-tT64sbt4DQ8DNxZWc1NUjhZtSMfRq0MhlBmfozp6X9OOCw/s1600/Laravel+Excel.jpg" imageanchor="1"&gt;&lt;img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeclpU38gzmNCnVqNhAwnq9QlyCyr1guVGq11ORAFFoGGhcIHtPPOcx_oSFijBrztEFwkM4Cmi40eFlaaRgd74sWnh1w4_t-tT64sbt4DQ8DNxZWc1NUjhZtSMfRq0MhlBmfozp6X9OOCw/s1600/Laravel+Excel.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq-LWYi8N3Uc5YVYZVX_UNAgWHPI2HI6kJsxkWr77_2RTnPPdoMYg5MjrciG5VRxnQ59MH0qQMjlFnBbtbfHU9SpUvrGESU8MVL4X1M6gEJeRlJkLtnwjXPkFisqWDfZsZOS5lQ-WhLei7/s1600/Laravel+Excel-Installation.jpg" imageanchor="1"&gt;&lt;img alt="How to import Excel,CSV file in Laravel And insert data in database" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq-LWYi8N3Uc5YVYZVX_UNAgWHPI2HI6kJsxkWr77_2RTnPPdoMYg5MjrciG5VRxnQ59MH0qQMjlFnBbtbfHU9SpUvrGESU8MVL4X1M6gEJeRlJkLtnwjXPkFisqWDfZsZOS5lQ-WhLei7/s1600/Laravel+Excel-Installation.jpg" title="How to import Excel,CSV file in Laravel And insert data in database" /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
See Complete Tutorials with Code Explanation how to insert data in Database using Laravel Excel -&amp;nbsp;&lt;a class="btn btn-warning" href="https://laraveleasytutorials.blogspot.com/2017/10/how-to-import-excel-file-in-laravel-and.html" target="_blank"&gt;Tutorial Link&lt;/a&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;b&gt;&lt;u&gt;&lt;span style="color: blue;"&gt;Tags:&amp;nbsp;&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
Laravel Excel, Insert data from Excel File, Excel File Manipulation in Laravel&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/10/how-to-import-excelcsv-file-in-laravel.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzAF-I-eCzBs7ep9k_E3dU3rUDRid2PtLTsvqvP6wm8MN-HQEeUJdwFKvbOdCeAgcq8FWf8eDlDHXyEWK-5Yy5lkrn0EuizDs75ZGHm2g6aRBYlAvpOgNYp3nPSmre2L0HILWWe4pHfldU/s72-c/Laravel-Excel-File-Data-Insert.jpg" width="72"/><thr:total>27</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-8588842360877719153</guid><pubDate>Wed, 11 Oct 2017 07:03:00 +0000</pubDate><atom:updated>2017-10-24T03:20:25.175+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">C Programming</category><category domain="http://www.blogger.com/atom/ns#">MatLab Code</category><category domain="http://www.blogger.com/atom/ns#">Simulation and Modeling</category><title>Residue Method's Code in C and MatLab | Congruential Method Code</title><description>Problem:&lt;br /&gt;
&lt;h3&gt;
Residue Method's Code in C and MatLab | Congruential Method Code&lt;/h3&gt;
&lt;br /&gt;
&lt;h3&gt;
Details:&lt;/h3&gt;
We need the generate random numbers using Residue method. How do we generate that random number?&lt;br /&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;
&lt;h3&gt;
Solution:&lt;/h3&gt;
&lt;h3&gt;
&lt;br /&gt;Random Number generation code in C using Residue Method:&lt;/h3&gt;
&lt;br /&gt;
&lt;pre&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;/**
    Code    : Residue/Congruential Method in C
    Author  : Maniruzzaman Akash&amp;lt;manirujjamanakash@gmail.com&amp;gt;
**/&lt;/span&gt;&lt;span class="pre" style="color: #000099;"&gt;

#include&amp;lt;stdio.h&amp;gt;
&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;int&lt;/span&gt;&lt;span class="keyword" style="color: #990000;"&gt; main&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(){&lt;/span&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;
    //r(i) = (ar(i-1) + b ) modulo m
&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;    int&lt;/span&gt; random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;[&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1000&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;],&lt;/span&gt; maxLimit&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"First Random Number or seed : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    scanf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, &amp;amp;&lt;/span&gt;random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;[&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;]);&lt;/span&gt;

    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"What is the maximum limit : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    scanf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, &amp;amp;&lt;/span&gt;maxLimit&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"How many eandom Number you want to generate : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    scanf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, &amp;amp;&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;

    int&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 19&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"\nRandoms are : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    for&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;lt;=&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;++){&lt;/span&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;
        //
&lt;/span&gt;        random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;[&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;] = (&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;[&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;] +&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ) %&lt;/span&gt; maxLimit&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
        printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;[&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;]);
    }&lt;/span&gt;
    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"\n"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);
}&lt;/span&gt;&lt;/pre&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Random Number generation code in Matlab using Residue Method:&lt;/h3&gt;
&lt;pre&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Please Enter the value of a : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Please Enter the value of b : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
m&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Please Enter the value of m : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Please Enter the value of seed or r : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;


totalNumber&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Number of Random Numbers want to generate : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
R&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; zeros&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;();&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;totalNumber
    r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; mod&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; m&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    R&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'%4.0f '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; R&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
end
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Formula/Algorithm of residue&lt;/h3&gt;
&lt;pre&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;    //r(i) = (ar(i-1) + b ) modulo m&lt;/span&gt;&lt;/pre&gt;
&lt;br /&gt;
Simple One Line Instruction, nothing to say here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Demo Screenshot of Residue Method code and output in C&lt;br /&gt;
&lt;br /&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTxiHyI7O6Z6_XlbZKVewv7t8WAoK_g89Fnt3gQDTESORAp_L-drDE9Rq4zvWpTGmOOGRMJjobTflttfqLVu5uZEVV9W6NU5BVBn9Dpn0rN6neoBMg2x-3J1eynliGJ-eyPzghjuXvQ529/s1600/ResidueMethod-Code.jpg" imageanchor="1"&gt;&lt;img alt="Residue Method's Code in C and MatLab | Congruential Method Code" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTxiHyI7O6Z6_XlbZKVewv7t8WAoK_g89Fnt3gQDTESORAp_L-drDE9Rq4zvWpTGmOOGRMJjobTflttfqLVu5uZEVV9W6NU5BVBn9Dpn0rN6neoBMg2x-3J1eynliGJ-eyPzghjuXvQ529/s1600/ResidueMethod-Code.jpg" title="Residue Method's Code in C and MatLab | Congruential Method Code" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;br /&gt;
Tags:&lt;br /&gt;
Residue Method's Code in C and MatLab | Congruential Method Code, Residue Method, Congruential Method, Residue Method full code in C programming, Residue Method full Code in MatLab</description><link>https://maniruzzaman-akash.blogspot.com/2017/10/residue-methods-code-in-c-and-matlab.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhTxiHyI7O6Z6_XlbZKVewv7t8WAoK_g89Fnt3gQDTESORAp_L-drDE9Rq4zvWpTGmOOGRMJjobTflttfqLVu5uZEVV9W6NU5BVBn9Dpn0rN6neoBMg2x-3J1eynliGJ-eyPzghjuXvQ529/s72-c/ResidueMethod-Code.jpg" width="72"/><thr:total>4</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-9192757507179334581</guid><pubDate>Wed, 11 Oct 2017 06:48:00 +0000</pubDate><atom:updated>2017-10-24T03:21:57.031+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">C Programming</category><category domain="http://www.blogger.com/atom/ns#">MatLab Code</category><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><category domain="http://www.blogger.com/atom/ns#">Simulation and Modeling</category><title>Mid Square Method Code implementation in C and MatLab</title><description>&lt;h3&gt;
Mid Square Method Code implementation in C and MatLab:&lt;/h3&gt;
&lt;h3&gt;
Problem:&lt;/h3&gt;
&lt;div&gt;
Mid square method, mid square random number generator Code in MatLab and C or C++.&lt;br /&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhapMuBBLkgsJG1gKWdw2hTrUr0UMXeJjArNxXe8L_mEAfk-cjtkv6sMOorhfhzrDoqVdI_uXFlULuvuaJnhWDkvgo4sRjbbTf4cakneu44gTJRESNEl1GeJEO0GIDqEbtmuiJPrB4G1Syd/s1600/Random_Number_Code_Mid_Square.jpg" imageanchor="1"&gt;&lt;img alt="Mid Square Method Code implementation in C and MatLab" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhapMuBBLkgsJG1gKWdw2hTrUr0UMXeJjArNxXe8L_mEAfk-cjtkv6sMOorhfhzrDoqVdI_uXFlULuvuaJnhWDkvgo4sRjbbTf4cakneu44gTJRESNEl1GeJEO0GIDqEbtmuiJPrB4G1Syd/s1600/Random_Number_Code_Mid_Square.jpg" title="Mid Square Method Code implementation in C and MatLab" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;h3&gt;
Solution:&lt;/h3&gt;
&lt;h4&gt;
Mid Square Random Number Generator Code in C:&lt;/h4&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;/**
    Code    :: Mid Square Random Number Generator
    Author  :: Maniruzzaman Akash &amp;lt;manirujjamanakash@gmail.com&amp;gt;
*/&lt;/span&gt;&lt;span class="pre" style="color: #000099;"&gt;

#include&amp;lt;stdio.h&amp;gt;
&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;int&lt;/span&gt;&lt;span class="keyword" style="color: #990000;"&gt; main&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;()
{&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;
    long int&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 6897&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt; //take any 4 digit Number without trailing 00
&lt;/span&gt;&lt;span class="type" style="color: #ff6633;"&gt;    int&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"How many number you want to generate : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    scanf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, &amp;amp;&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"Random Numbers are : "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

    for&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;lt;&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;++)
    {&lt;/span&gt;
        seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
        seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; /&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;       //Take the dividend
&lt;/span&gt;        seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; %&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 10000&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="comment" style="color: #999999; font-style: italic;"&gt;    // Take the reminder
&lt;/span&gt;        random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; seed&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
        printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"%d "&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; random&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);
    }&lt;/span&gt;

    printf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="string" style="color: #009900;"&gt;"\n"&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    return&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;
}&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Output of the Mid Square Random Number Generator code in C:&lt;/h4&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh02oOMXKN6TQ-FrfaPW7DxyPW6IvCRfvIDvomuq83uxrA0vScVvVQqQhLS-TZheOeu7EfJ4fN6TStnbhXsWX-gjgmzp8KupL2UoFb3e-5yDKBA5EF4zY_sgZDkMgnxhFDZRgqBAnKEeW93/s1600/Random_Number_Output_Mid_Square.jpg" imageanchor="1"&gt;&lt;img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh02oOMXKN6TQ-FrfaPW7DxyPW6IvCRfvIDvomuq83uxrA0vScVvVQqQhLS-TZheOeu7EfJ4fN6TStnbhXsWX-gjgmzp8KupL2UoFb3e-5yDKBA5EF4zY_sgZDkMgnxhFDZRgqBAnKEeW93/s1600/Random_Number_Output_Mid_Square.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h3&gt;
Mid Square Random Number Code in Matlab:&lt;/h3&gt;
&lt;pre&gt;&lt;span style="color: dimgrey;"&gt;%% Problem : Random Number Generator ---&amp;gt; Mid Square Method %%&lt;/span&gt;
&lt;span style="color: dimgrey;"&gt;%  Author  : Maniruzzaman Akash&lt;/span&gt;

totalNumber &lt;span style="color: #808030;"&gt;=&lt;/span&gt; &lt;span style="color: #bb7977;"&gt;input&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;&lt;span style="color: purple;"&gt;'Number of Random Numbers want to generate : '&lt;/span&gt;&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
choose &lt;span style="color: #808030;"&gt;=&lt;/span&gt; &lt;span style="color: #bb7977;"&gt;input&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;&lt;span style="color: purple;"&gt;'Enter the seed : '&lt;/span&gt;&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
&lt;span style="color: #bb7977;"&gt;disp&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;&lt;span style="color: purple;"&gt;'Total Random Numbers are : '&lt;/span&gt;&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
&lt;span style="color: maroon; font-weight: bold;"&gt;for&lt;/span&gt; i &lt;span style="color: #808030;"&gt;=&lt;/span&gt; 1&lt;span style="color: #808030;"&gt;:&lt;/span&gt;totalNumber
    random &lt;span style="color: #808030;"&gt;=&lt;/span&gt; choose &lt;span style="color: #808030;"&gt;^&lt;/span&gt; 2&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
    random &lt;span style="color: #808030;"&gt;=&lt;/span&gt; random &lt;span style="color: #808030;"&gt;/&lt;/span&gt; 100&lt;span style="color: #808030;"&gt;;&lt;/span&gt; &lt;span style="color: dimgrey;"&gt;% Find the dividend&lt;/span&gt;
    random &lt;span style="color: #808030;"&gt;=&lt;/span&gt; &lt;span style="color: #bb7977;"&gt;rem&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;random&lt;span style="color: #808030;"&gt;,&lt;/span&gt; 10000&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt; &lt;span style="color: dimgrey;"&gt;% Get the reminder;&lt;/span&gt;
    choose &lt;span style="color: #808030;"&gt;=&lt;/span&gt; random&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
    &lt;span style="color: #bb7977;"&gt;fprintf&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;&lt;span style="color: purple;"&gt;'%.2f '&lt;/span&gt;&lt;span style="color: #808030;"&gt;,&lt;/span&gt; random&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
&lt;span style="color: maroon; font-weight: bold;"&gt;end&lt;/span&gt;
&lt;span style="color: #bb7977;"&gt;fprintf&lt;/span&gt;&lt;span style="color: #808030;"&gt;(&lt;/span&gt;&lt;span style="color: purple;"&gt;'\n'&lt;/span&gt;&lt;span style="color: #808030;"&gt;)&lt;/span&gt;&lt;span style="color: #808030;"&gt;;&lt;/span&gt;
&lt;/pre&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;h3&gt;
Procedure of Mid Square Method Random Number Generator:&lt;/h3&gt;
&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;Take the first seed or first random number.&lt;/li&gt;
&lt;li&gt;Square it.&lt;/li&gt;
&lt;li&gt;Take the middle from the 8 digits square value&lt;/li&gt;
&lt;li&gt;divide it by 100 first then&lt;/li&gt;
&lt;li&gt;take the reminder of 10000 of that value again&lt;/li&gt;
&lt;li&gt;Finally result will present in the seed or in random.&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h3&gt;
Tags:&lt;/h3&gt;
Numerical Methods, Simulation and Modeling, C Programming, MatLab Code, Mid Square Method Code, Midsquare code implementation,&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/10/mid-square-method-code-implementation.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhapMuBBLkgsJG1gKWdw2hTrUr0UMXeJjArNxXe8L_mEAfk-cjtkv6sMOorhfhzrDoqVdI_uXFlULuvuaJnhWDkvgo4sRjbbTf4cakneu44gTJRESNEl1GeJEO0GIDqEbtmuiJPrB4G1Syd/s72-c/Random_Number_Code_Mid_Square.jpg" width="72"/><thr:total>7</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-4477349442316198061</guid><pubDate>Tue, 10 Oct 2017 05:41:00 +0000</pubDate><atom:updated>2017-10-24T03:43:35.827+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Articles</category><title>What is Blue Whale Game ? Why people suicide?</title><description>&lt;h3&gt;
Todays most common question is Blue Whale:&lt;/h3&gt;
What is Blue Whale Game ? Why people suicide by playing this Blue Whale Game?&lt;br /&gt;
&lt;br /&gt;
&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlmz8Qtwmtq1c3knaXRx_5zo44BzJNs_r5SvycKskOJbOLE8uKuE5R4RsOskAcpZaU1_DEq2zdhxd6xgd9QO85mmreua7IklrLDwy6t855nMa2cNwa2W9bM35ZH8Fnj6XN1CglJ7D5eSPH/s1600/Blue-Whale-Game.jpg" imageanchor="1"&gt;&lt;img alt="What is Blue Whale Game ? Why people suicide?" border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlmz8Qtwmtq1c3knaXRx_5zo44BzJNs_r5SvycKskOJbOLE8uKuE5R4RsOskAcpZaU1_DEq2zdhxd6xgd9QO85mmreua7IklrLDwy6t855nMa2cNwa2W9bM35ZH8Fnj6XN1CglJ7D5eSPH/s320/Blue-Whale-Game.jpg" title="What is Blue Whale Game ? Why people suicide?" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;h3&gt;
What is Blue Whale and who invented the Blue Whale Game ?&lt;a name='more'&gt;&lt;/a&gt;&lt;/h3&gt;
&lt;div&gt;
Blue Whale Game is a Russian game called Blue Whale Chalanger. It is a &lt;b&gt;social media hacking app&lt;/b&gt; and managed by administrators and who played that game they are forced to do some &lt;b&gt;daily tasks 50 day period&lt;/b&gt; by &lt;b&gt;black mailing&lt;/b&gt; their accounts and private things.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Blue Whale invented a Russian.&lt;br /&gt;
&lt;b&gt;Philipp Budeikin&lt;/b&gt;, a 21-year-old former psychology student who was invented the game in 2013.&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
What is Exactly the Blue Whale Game?&lt;/h3&gt;
&lt;br /&gt;&lt;/div&gt;
The dangerous game named "&lt;b&gt;&lt;i&gt;Blue Whale&lt;/i&gt;&lt;/b&gt;" involves brainwashing in little teenagers for a period of 50 days, forcing them to complete tasks by watching/seeing some horror movies to waking at strange hours, and to do self harming.&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
How Blue Whale Administrator black mail the Blue Whale Users?&lt;/h3&gt;
The administrator may has all the Facebook and other links of that user and then they black mail the user.&lt;br /&gt;
&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;They first Black mail the user by their Facebook and other social account and they forced to install the Blue Whale game and to play. In todays, they make a facebook app called &lt;b&gt;Popcorn&amp;nbsp;Carnival&lt;/b&gt;&amp;nbsp;and make trap by this app.&lt;/li&gt;
&lt;li&gt;At first, they say to do some simple tasks. And the tasks are easy for first day to twenty or thirty day.&lt;/li&gt;
&lt;li&gt;After thirty day, this Blue Whale games becomes very vulnerable situation. Like they take Nude photos of that user and blackmail him/her by that. Then they told to do some ridiculous things. Like, cutting hands, belly's and so on.&lt;/li&gt;
&lt;li&gt;The user start to torture their body by forcing black mailing using Blue Whale.&lt;/li&gt;
&lt;li&gt;Final attack is in 50 days, they commit the user to suicide by Blue Whale. Then if the user is a normal teenagers, then it is not possible to him/her to avoid that and they take suicide attempt.&lt;/li&gt;
&lt;/ol&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
What say&amp;nbsp;&lt;b&gt;Philipp Budeikin for the Blue Whale Game?&lt;/b&gt;&lt;/h3&gt;
&lt;b&gt;Philipp Budeikin&lt;/b&gt; is really a physio. Philipp Budeikin says- "he thinks of his victims as 'biological waste' and told police that they were really '&lt;b&gt;happy to die&lt;/b&gt;' and he was '&lt;b&gt;cleansing society&lt;/b&gt;'.&lt;br /&gt;
His main theme is &lt;b&gt;cleaning the society&lt;/b&gt;.&lt;br /&gt;
&lt;b&gt;Philipp Budeikin&lt;/b&gt; was arrested and sent to &lt;a href="https://en.wikipedia.org/wiki/Kresty_Prison" target="_blank"&gt;Kresty Prison&lt;/a&gt; in 2016 for killing some innocent teenage girls by playing this Blue Whale game.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Blue Whale Result effects in many countries:&lt;/h3&gt;
The Blue Whale game is not a fake game at all. People of all over the world are killing themselves by playing this game. The most are the teenagers.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;Russia :&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
In recent, their are almost 50 teenage girls suicided in Russia by playing this Blue Whale game.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;India:&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
In recent, their are almost 20 teenage girls/boys suicided in India by playing this Blue Whale game.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;Brazil:&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
Almost 10 are suicided in Brazil by playing this game.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;Bangladesh:&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
Yesterday(9 October) a girl in Bangladesh suicides for the Blue Whale game and took suicide. It is not so much sure that she was a Blue whale gamer. But peoples now think that.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;Other Countries:&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
In other countries there are also many teenagers are taking suicide attempt for this Blue Whale game.&lt;br /&gt;
&lt;h3&gt;
Advice for teenagers for Blue Whale Game:&lt;/h3&gt;
Don't join this trap anyway. Don't open any unseen link in the facebook or others. Don't join it never. They will black mail you, then you can't do anything. If it happens to you, just tell your parents or police and they'll take that, don't be afraid this crazy Social App.&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
See the physio at a glance of this Blue Whale game's inventor:&lt;/h3&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPAX0R1JzWaukPS1jcNlB0g7LermBT3kFOlu4X43gE843BtXWqyVJKovTzimJY0jy-K_64sMaamKG2oyh2hEJUP46BNv-WYlNAAHCShGM-H54cUrPCREMgV5DuDSUvsuOm3veJRu-iaPDN/s1600/Philip+Budekin.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="What is Blue Whale Game ? Why people suicide?" border="0" height="198" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPAX0R1JzWaukPS1jcNlB0g7LermBT3kFOlu4X43gE843BtXWqyVJKovTzimJY0jy-K_64sMaamKG2oyh2hEJUP46BNv-WYlNAAHCShGM-H54cUrPCREMgV5DuDSUvsuOm3veJRu-iaPDN/s320/Philip+Budekin.jpg" title="What is Blue Whale Game ? Why people suicide?" width="320" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;Philipp Budeikin&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style="text-align: left;"&gt;
&lt;h3&gt;
Starting Conversation Of Blue Whale Game Before Starting with Admin:&lt;/h3&gt;
&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;&lt;b&gt;You&lt;/b&gt;: I want to play the game.&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;span style="color: blue;"&gt;Admin&lt;/span&gt;&lt;/b&gt;: Are you sure? There is no way back&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;You&lt;/b&gt;: Yes. What does that mean ? There is no way back?&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;span style="color: blue;"&gt;Admin&lt;/span&gt;&lt;/b&gt;: You can’t leave the game once you begin&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;You&lt;/b&gt;: I’m ready&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;span style="color: blue;"&gt;Admin&lt;/span&gt;&lt;/b&gt;: Carry out each task diligently and no one must know about it. When you finish the task, you have to send me a photo of that as proof.&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;You&lt;/b&gt;: And if I wanna get out from this game ?&amp;nbsp;&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;span style="color: blue;"&gt;Admin&lt;/span&gt;&lt;/b&gt;: I have all your information, they will come after you (that’s mean if you left this game in middle they will kill your family, that’s why most of players under pressure commits suicide)&lt;/li&gt;
&lt;/ol&gt;
&lt;br /&gt;
I don't why people need to do that. It's a totally stupid work. Emotionally they are black mailed by the admin. by this Blue Whale.&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
First 30 days task of Blue Whale Game:&lt;/h3&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxkimI4SP735-AViOsEb3SV3nG9J6nqy8pYMrjXDJhh8s5wd6BlQhVWE3ofEL1I4pTVjcIX3OnOpFd33Cg1bYuyaxewCIMNiZoHwRXDrRtOzW5O6VcyHMNjv8RiUN97M08duPwOcm3Klhd/s1600/Blue-Whale-Game-Task-List.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="First 30 days task of Blue Whale Game: | Tasks of Blue Whale Game" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxkimI4SP735-AViOsEb3SV3nG9J6nqy8pYMrjXDJhh8s5wd6BlQhVWE3ofEL1I4pTVjcIX3OnOpFd33Cg1bYuyaxewCIMNiZoHwRXDrRtOzW5O6VcyHMNjv8RiUN97M08duPwOcm3Klhd/s1600/Blue-Whale-Game-Task-List.jpg" title="First 30 days task of Blue Whale Game: | Tasks of Blue Whale Game" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;&amp;nbsp;Tasks of Blue Whale Game&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;br /&gt;&lt;/div&gt;
The Last 20 days tasks of Blue whale game are more dangerous. They are-&lt;br /&gt;
&lt;br /&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyponThp3KDrZeUXnsVZHtiEjuucVB5PiEskAV-YeTj6LfYvYPgNrLwn3eVIVLIfjkKzx_L9nBQiUqA2nHukV29fL5eYyKaA7531Bu1LPYtI8O4E-MmGo7nzScEF3FIbGQzfpCur-PO-xO/s1600/Blue-Whale-Game-Task-List-Last-20-days.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="Last 20 days tasks of Blue Whale Game" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyponThp3KDrZeUXnsVZHtiEjuucVB5PiEskAV-YeTj6LfYvYPgNrLwn3eVIVLIfjkKzx_L9nBQiUqA2nHukV29fL5eYyKaA7531Bu1LPYtI8O4E-MmGo7nzScEF3FIbGQzfpCur-PO-xO/s1600/Blue-Whale-Game-Task-List-Last-20-days.jpg" title="Last 20 days tasks of Blue Whale Game" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;Last 20 days tasks of Blue Whale Game&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;div style="text-align: left;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h3 style="text-align: left;"&gt;
The peoples who committed to suicide for Blue Whale(just few):&lt;/h3&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHsl0_jUDoVVv8M1mefh2bIKMeXHKn7j6SM5sMj6ymVKyNOIS17x3cClBTE9EaNAzNC6RoxLrTPTcYNXlvkXC5VabkLI64Bx9o0XqtAwP7OwkdhDM9AUD7KzL5pyTwGP60ioNdqIcCn4mg/s1600/Blue-Whale-Suicide-Peoples.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="The peoples who committed to suicide for Blue Whale(just few):" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHsl0_jUDoVVv8M1mefh2bIKMeXHKn7j6SM5sMj6ymVKyNOIS17x3cClBTE9EaNAzNC6RoxLrTPTcYNXlvkXC5VabkLI64Bx9o0XqtAwP7OwkdhDM9AUD7KzL5pyTwGP60ioNdqIcCn4mg/s1600/Blue-Whale-Suicide-Peoples.jpg" title="The peoples who committed to suicide for Blue Whale(just few):" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;Peoples who have committed suicide for Blue Whale Game&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style="text-align: left;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div style="text-align: left;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;br /&gt;&lt;/div&gt;
So, final alert is please stay away from this &lt;b&gt;Blue Whale&lt;/b&gt; Stupid game.</description><link>https://maniruzzaman-akash.blogspot.com/2017/10/what-is-blue-whale-game-why-people.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlmz8Qtwmtq1c3knaXRx_5zo44BzJNs_r5SvycKskOJbOLE8uKuE5R4RsOskAcpZaU1_DEq2zdhxd6xgd9QO85mmreua7IklrLDwy6t855nMa2cNwa2W9bM35ZH8Fnj6XN1CglJ7D5eSPH/s72-c/Blue-Whale-Game.jpg" width="72"/><thr:total>6</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-9061240151753128607</guid><pubDate>Sat, 07 Oct 2017 02:58:00 +0000</pubDate><atom:updated>2017-10-24T03:43:51.776+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Blogger Tips</category><category domain="http://www.blogger.com/atom/ns#">Blogging Career</category><title>Which Free blog is better- Wordpress or Blogger</title><description>&lt;div style="text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU82zeTPcXxTHzZP65f7SaHYtBmFkhY2yks7CyHjWeKKywpytsbSTnYhgeVNHXRK45wODFe_gzRGYp5EPfVcgfwyHpMaKwFszgew3A1OOT-lWDp8BhdHABBWeQps0i86VCMXIZxzsmYc5P/s1600/Blogger-vs-WordPress.png" imageanchor="1"&gt;&lt;img alt="Which Free blog is better- Wordpress or Blogger" border="0" height="169" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU82zeTPcXxTHzZP65f7SaHYtBmFkhY2yks7CyHjWeKKywpytsbSTnYhgeVNHXRK45wODFe_gzRGYp5EPfVcgfwyHpMaKwFszgew3A1OOT-lWDp8BhdHABBWeQps0i86VCMXIZxzsmYc5P/s320/Blogger-vs-WordPress.png" title="Which Free blog is better- Wordpress or Blogger" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
From few a days, I've got some question about Wordpress and Blogger. User's has asked me -&lt;br /&gt;
&lt;div&gt;
&lt;h4&gt;
&lt;span style="color: red;"&gt;Which free blog site is better? Wordpress or Blogger?&lt;/span&gt;&lt;/h4&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Now, it's time to give a clear and concise answer in my sense- what is better wordpress or blogger.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
&lt;span style="color: blue;"&gt;Answer is definitely Blogger.&lt;/span&gt;&lt;/h4&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h3&gt;
Why Blogger site is better than WordPress:&lt;/h3&gt;
&lt;div&gt;
Tell me, why you want to create a site in blogger or in WordPress?&lt;/div&gt;
&lt;div&gt;
&lt;ol&gt;
&lt;li&gt;Share your ideas..&lt;/li&gt;
&lt;li&gt;Make a picture of yours to internet and&amp;nbsp;&lt;/li&gt;
&lt;li&gt;Wanna earn some money for your hard work for a blog.&lt;/li&gt;
&lt;/ol&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt;
Number T&lt;b&gt;hree&lt;/b&gt; is may be a so much important term to all. We'll work in anything, we must expect something in return. We must expect some money for our hard work in a blog at all.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h3&gt;
So, why wordpress.com free site is not better from blogger?&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;ol&gt;
&lt;li&gt;&lt;b&gt;&lt;u&gt;First &lt;/u&gt;&lt;/b&gt;of all, in &lt;a href="http://wordpress.com/"&gt;wordpress.com&lt;/a&gt; there is no &lt;b&gt;Adsense &lt;/b&gt;approve of them. Adsense doesn't work with WordPress. Adsense is a big ad publisher hosted by google. Every blogger's aim is to approved by Adsense and Adsense must return you a big money. You can't imagine that I've a free blog and after 7 try's I've got Adsense approve and now earn monthly 150$. There's only 30 posts and daily visitor is 1000.&lt;/li&gt;
&lt;li&gt;&lt;b&gt;&lt;u&gt;Second&lt;/u&gt;&lt;/b&gt;, In some countries adsense is not approved so easily. Or your site needs high quality content to approve by adsense. You must try some other ad sites who can give you a promised money like &lt;a href="https://a-ads.com/" target="_blank"&gt;A-ads&lt;/a&gt;, &lt;a href="https://www.popads.net/users/refer/1217995" target="_blank"&gt;Pop Ads&lt;/a&gt;, &lt;a href="https://popcash.net/home/176905" target="_blank"&gt;Pop Cash&lt;/a&gt;, &lt;a href="http://www.propellerads.com/?rfd=MMZ" target="_blank"&gt;Propeller Ads&lt;/a&gt;,&amp;nbsp;&amp;nbsp;&lt;a href="https://www.revenuehits.com/lps/pubref/?ref=@RH@qioqsvWGFu6zLXDBcJSV31gCNN7_AvfT" target="_blank"&gt;Revenue Hits&lt;/a&gt;, &lt;a href="http://publisher.ad-maven.com/#/" target="_blank"&gt;Ad-Maven&lt;/a&gt; and so many others Ad publisher's site. And most of the other ad publishing site needs to allow a script tag or &lt;b&gt;&lt;span style="color: red;"&gt;iframe tag&lt;/span&gt;&lt;/b&gt; in the theme or widget. Wordpress doesn't allow these type of codes. &lt;span style="color: red;"&gt;Wordpress doesn't allow &lt;/span&gt;&lt;span style="color: blue;"&gt;iframe&lt;/span&gt;&lt;span style="color: red;"&gt;, &lt;/span&gt;&lt;span style="color: blue;"&gt;script &lt;/span&gt;&lt;span style="color: red;"&gt;tags&lt;/span&gt;. Without these tags, you can't earn money from any Blogging site. And hopefully &lt;span style="color: blue;"&gt;blogger gives you the power of embedding anything from internet&lt;/span&gt;.&lt;/li&gt;
&lt;li&gt;Third, If you learn some HTML code, you can modify your site's theme easily. But in Wordpress.com that can't be possible so easily.&lt;/li&gt;
&lt;li&gt;Fourth, you may think wordpress theme is looking nice and blogger's theme isn't. Ok friends, then try to &lt;a href="https://gooyaabitemplates.com/" target="_blank"&gt;Gooyaabi Templates&lt;/a&gt;. There are huge templates in that site for blogger and you can add that template in your site.&lt;/li&gt;
&lt;/ol&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Benefits of Wordpress.com site:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;ol&gt;
&lt;li&gt;Search Engine Friendly&lt;/li&gt;
&lt;li&gt;A nice and easiest Admin Panel.&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
So, after this comparison race, what will you give them a score. Definitely &lt;b&gt;&lt;span style="color: blue;"&gt;give Blogger a 5 of 5&lt;/span&gt;&lt;/b&gt; and &lt;b&gt;&lt;span style="color: red;"&gt;WordPress.com can get 5 of 1&lt;/span&gt;&lt;/b&gt;. We can make our site also search Engine friendly by download a Search Engine Friendly Blogger theme.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Thanks for staying with me, and now if you want to learn how to make an awesome website in Blogger in 10 minutes with custom template, then Read the article -&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="OYKEW4D-c-g" href="http://maniruzzaman-akash.blogspot.com/2016/12/how-to-make-dynamic-personal-website.html" style="border: 0px; color: #00838f; cursor: pointer; display: inline-block; font-family: Arial, Helvetica, sans-serif; font-size: 13px; margin: 0px 10px 0px 0px; max-width: 100%; overflow: hidden; padding: 0px; text-overflow: ellipsis; vertical-align: baseline; white-space: nowrap; width: auto;" target="_blank"&gt;How To Make A Dynamic Personal Website Free From Blogger&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Tags:&lt;/h4&gt;
&lt;div&gt;
Which Free blog is better- Wordpress or Blogger, Why Blogger is better than Wordpress, Why I'be to choose Blogger not WordPress, Why move on Blogger Site, Blogger Vs WordPress, Benefits of Blogger Site, Problems of Wordpress,com Site&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/10/which-free-blog-is-better-wordpress-or.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU82zeTPcXxTHzZP65f7SaHYtBmFkhY2yks7CyHjWeKKywpytsbSTnYhgeVNHXRK45wODFe_gzRGYp5EPfVcgfwyHpMaKwFszgew3A1OOT-lWDp8BhdHABBWeQps0i86VCMXIZxzsmYc5P/s72-c/Blogger-vs-WordPress.png" width="72"/><thr:total>4</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-8049802339915412665</guid><pubDate>Sun, 17 Sep 2017 16:53:00 +0000</pubDate><atom:updated>2017-10-24T03:55:55.127+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Electrical Electronics</category><title>What are the characteristics of Digital IC's?-Solution</title><description>&lt;h3&gt;
Question:&lt;/h3&gt;
&lt;span style="color: red;"&gt;What are the characteristics of Digital IC's?&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
&lt;span style="color: #0b5394;"&gt;Answer: [&lt;/span&gt;&lt;span style="color: #cccccc;"&gt;Answer from RP Jain's book&lt;/span&gt;&lt;span style="color: #0b5394;"&gt;]&lt;a name='more'&gt;&lt;/a&gt;&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
There are various characteristics of digital IC's to measure their performance. The issues are-&lt;/div&gt;
&lt;div&gt;
&lt;ol&gt;
&lt;li&gt;Speed of operation,&lt;/li&gt;
&lt;li&gt;Power of dissipation,&lt;/li&gt;
&lt;li&gt;Figure of merit,&lt;/li&gt;
&lt;li&gt;Fan-out,&lt;/li&gt;
&lt;li&gt;Current and voltage parameters,&lt;/li&gt;
&lt;li&gt;Noise immunity / Noise Margins,&lt;/li&gt;
&lt;li&gt;Operating temperature range,&lt;/li&gt;
&lt;li&gt;Power Supply requirements,&lt;/li&gt;
&lt;li&gt;Flexibility available.&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKq_BYazSIpaqqro7IQX0Ctp6IMQy_oVA-bPH3QeVnqdpOOUgcPa04DEADiyDCZzJ9o9LI6UTM8QXOUAvkybCFzDty9ZiSH5j6Vgb_PzEfMWL3bUc5bCvwmESA4yMBhmYf_liic9DHqXTX/s1600/Digital-IC-Trainer-of-Logic-Gates.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="What are the characteristics of Digital IC's" border="0" height="168" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKq_BYazSIpaqqro7IQX0Ctp6IMQy_oVA-bPH3QeVnqdpOOUgcPa04DEADiyDCZzJ9o9LI6UTM8QXOUAvkybCFzDty9ZiSH5j6Vgb_PzEfMWL3bUc5bCvwmESA4yMBhmYf_liic9DHqXTX/s320/Digital-IC-Trainer-of-Logic-Gates.jpg" title="What are the characteristics of Digital IC's" width="320" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="font-size: 12.8px;"&gt;Digital IC&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;The details of these criteria's are-&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;1) Speed of operation:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
The speed of a digital circuit is specified in terms of the propagation delay time. If the propagation delay time is lower, the speed of the IC is higher.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;2)&amp;nbsp;Power of dissipation:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
This is the amount of power dissipated in an IC. It is determined by the current, I&lt;sub&gt;CC&lt;/sub&gt;, that it draws from the V&lt;sub&gt;CC&lt;/sub&gt;&amp;nbsp;supply, and is given by V&lt;sub&gt;CC&lt;/sub&gt;&amp;nbsp;* I&lt;sub&gt;CC&lt;/sub&gt;.&lt;br /&gt;
I&lt;sub&gt;CC&lt;/sub&gt;&amp;nbsp;is the average value of I&lt;sub&gt;CC&lt;/sub&gt;(0) and I&lt;sub&gt;CC&lt;/sub&gt;(1). This power is specified in milliwatts.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;3)&amp;nbsp;Figure of merit:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
The figure of merit of a digital IC is defined as the product of speed and power. The speed is specified in terms of propagation delay time expressed in nanoseconds.&lt;br /&gt;
&lt;blockquote class="tr_bq"&gt;
Figure of merit = propagation delay time (ns) * power (mW)&lt;/blockquote&gt;
It is specified in pico joules (ns * mW = pJ).&lt;br /&gt;
&lt;span style="color: #351c75;"&gt;A low value of speed-power product is desirable&lt;/span&gt;. In a digital circuit, if it is desired to have a high speed, low propagation delay time, then there is a corresponding increase in the power dissipation and vice versa.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;4)&amp;nbsp;Fan Out:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
Fan out is the number if similar gates which can be driven by a gate.&amp;nbsp;&lt;span style="color: #351c75;"&gt;High fan-out is advantages because it reduces the need for additional drivers&lt;/span&gt;&amp;nbsp;to drive more gates.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;5)&amp;nbsp;Current and voltage parameters:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;
&lt;li&gt;High level input voltage(V&lt;sub&gt;lH&lt;/sub&gt;) : This is the minimum input voltage which is recognized by the gate as logic 1.&lt;/li&gt;
&lt;li&gt;Low level input voltage(V&lt;sub&gt;lL&lt;/sub&gt;) : This is the maximum input voltage which is recognized by the gate as logic 0.&lt;/li&gt;
&lt;/ul&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;6)&amp;nbsp;Noise immunity:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
The input and output voltage levels are defined above are shown in figure. Stray electric and magnetic fields may induce unwanted voltages, known as noise, on the connecting wires between logic circuits. This may cause the voltage at the input to a logic circuit to drop below V&lt;sub&gt;lH&lt;/sub&gt;&amp;nbsp;or rise above V&lt;sub&gt;lL&lt;/sub&gt;&amp;nbsp;and may produce undesired operation.&lt;br /&gt;
&lt;br /&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_K_rHydkIWqriyKw7j-FWc4K8wLmzCwYU01rDXA20Qrnm0rO8ZflxAk4jBNOBdsfZNyEcMHF3faqNyoPIRYexBMoWTXkGf-Eh4NjVP2DZZR8oYvsMaQ_KK2ZrdVb31Jvabj9BHATlNzfy/s1600/Noise+immunity.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="Noise immunity" border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_K_rHydkIWqriyKw7j-FWc4K8wLmzCwYU01rDXA20Qrnm0rO8ZflxAk4jBNOBdsfZNyEcMHF3faqNyoPIRYexBMoWTXkGf-Eh4NjVP2DZZR8oYvsMaQ_KK2ZrdVb31Jvabj9BHATlNzfy/s320/Noise+immunity.jpg" title="Noise immunity" width="320" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="font-size: 12.8px;"&gt;&lt;b style="font-size: medium; text-align: start;"&gt;&lt;span style="color: blue;"&gt;Noise immunity&lt;/span&gt;&lt;/b&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div style="text-align: center;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;br /&gt;
So, the circuit's ability to tolerate noise signals is referred to as the noise immunity, a quantitative measure of which is called Noise Margin.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;7)&amp;nbsp;Operating temperature&amp;nbsp;range:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
The temperature range by which a IC functions properly must be known. The accepted temperature ranges are: 0 to 70 degree Celsius for consumer and industrial applications and -55 degree Celsius to 125 degree Celsius.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;8)&amp;nbsp;Power supply requirements:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
The supply voltage and the amount of power required by an IC are important characteristics required to choose the proper power supply.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;9) Flexibility&amp;nbsp;available:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
Various flexibilities are available in different IC logic families and these must be considered while selecting a logic family for a particular job.Some of the flexibilities are:&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;
&lt;li&gt;The breadth of the series&lt;/li&gt;
&lt;li&gt;Popularity of the series&lt;/li&gt;
&lt;li&gt;Wired logic capability&lt;/li&gt;
&lt;li&gt;Availability of complement outputs&lt;/li&gt;
&lt;li&gt;Type of output.&lt;/li&gt;
&lt;/ul&gt;
&lt;br /&gt;
&lt;h3&gt;
&lt;b&gt;&lt;span style="color: red;"&gt;Note:&lt;/span&gt;&lt;/b&gt;&amp;nbsp;The article is written from&amp;nbsp;&lt;span style="color: blue;"&gt;RP Jain Book of Digital Electronics&lt;/span&gt;.&amp;nbsp;&lt;a href="http://computer-science-solutions.blogspot.com/2017/07/modern-digital-electronics-by-r-p-jain.html" rel="nofollow" target="_blank"&gt;Download the book from here&lt;/a&gt;.&lt;/h3&gt;
&lt;h4&gt;
&lt;span style="color: blue;"&gt;Tags:&lt;/span&gt;&lt;/h4&gt;
What are the characteristics of Digital IC's, characteristics of Digital IC, performance of Digital IC, digital IC, about digital IC, what is speed of operation of IC, what is power dissipation, what is figure of merit what is fan out,&lt;br /&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/09/what-are-characteristics-of-digital-ics.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKq_BYazSIpaqqro7IQX0Ctp6IMQy_oVA-bPH3QeVnqdpOOUgcPa04DEADiyDCZzJ9o9LI6UTM8QXOUAvkybCFzDty9ZiSH5j6Vgb_PzEfMWL3bUc5bCvwmESA4yMBhmYf_liic9DHqXTX/s72-c/Digital-IC-Trainer-of-Logic-Gates.jpg" width="72"/><thr:total>6</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-5751165270726346126</guid><pubDate>Wed, 19 Jul 2017 02:21:00 +0000</pubDate><atom:updated>2017-10-24T03:44:02.040+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Offline Documentation</category><title>Download Tutorials point offline documentation latest version 2017 - Free Tutorials point documentation full</title><description>&lt;h3&gt;
Download Tutorials point offline documentation latest version 2017:&lt;/h3&gt;
&lt;br /&gt;
Tutorials point is one of the most big site for tutorials of all types like HTML, CSS, Javascript, PHP, C Programming, C++ programming, Java Programming, Python Programming and so all. Get the TutorialsPoint offline documentation today and learn all of the tutorials of Tutorials Point.&lt;br /&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;
&lt;br /&gt;
Download Tutorials point latest offline documentation just in one click:&lt;br /&gt;
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See a demo video to download Tutorials point offline documentation&lt;br /&gt;
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&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/fWZ2NLG4u2Q" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;h3&gt;
&lt;span style="color: yellow;"&gt;&lt;u&gt;Why Offline Documentation:&amp;nbsp;&lt;/u&gt;&lt;/span&gt;&lt;/h3&gt;
Offline documentation gives you the better opportunity to work when you have no internet and this is why it is a very good idea to use it,&lt;br /&gt;
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&lt;br /&gt;
&lt;div class="well"&gt;
Download link :&amp;nbsp;&lt;a class="btn btn-warning btn-download" href="http://adf.ly/1nU04J" rel="nofollow" target="_blank"&gt;Download Tutorials Point latest offline documentation 2017&lt;/a&gt;&lt;br /&gt;
Size: &lt;b&gt;&lt;span style="color: red;"&gt;129 MB&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
Label : Tutorials Point Offline Documentation&lt;br /&gt;
Mirror Download link :&amp;nbsp;&lt;a class="btn btn-warning btn-download" href="http://adf.ly/1nU04J" rel="nofollow" target="_blank"&gt;Download Tutorials Point latest offline documentation 2017&lt;/a&gt;&lt;br /&gt;
&lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;[Note: ]&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
Please click&amp;nbsp;&lt;span style="background-color: white;"&gt;&lt;span style="color: #bf9000;"&gt;SKIP&lt;/span&gt;&lt;/span&gt;&amp;nbsp;when adf.ly advertise appears.&lt;/div&gt;
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&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi477hMUKMzlk8oDzG_t68gbCDuNazR_WPGiNZDB3_Ze7Lb8e0fQz2jBuBKJ7H535NUtsszFZckb0SGIYPH7z9BDPQiJvMNHMPQdZmmjtRhfOKjT_7mPc1Nkk0Ixo_1FfzqOB-0AWsb7fY/s320/Tutorials-Point-Offline-Documentation.jpg" imageanchor="1"&gt;&lt;img alt="Download Tutorials point latest Offline Documentation" border="1" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi477hMUKMzlk8oDzG_t68gbCDuNazR_WPGiNZDB3_Ze7Lb8e0fQz2jBuBKJ7H535NUtsszFZckb0SGIYPH7z9BDPQiJvMNHMPQdZmmjtRhfOKjT_7mPc1Nkk0Ixo_1FfzqOB-0AWsb7fY/s320/Tutorials-Point-Offline-Documentation.jpg" title="Download CSS3 latest Offline Documentation" width="100%" /&gt;&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;u&gt;&lt;span style="color: red;"&gt;[Note: ]&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;br /&gt;
Please click&amp;nbsp;&lt;span style="background-color: white;"&gt;&lt;span style="color: #bf9000;"&gt;SKIP&lt;/span&gt;&lt;/span&gt;&amp;nbsp;when adf.ly advertise appears.&lt;br /&gt;
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&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
HTML Offline Documentation, Bootstrap Offline Documentation, CSS framework, C Plus Plus Offline Documentation, PHP Framework Documentation, Javascript Framework Documentation, Tutorials Point&amp;nbsp;offline documentation, Tutorials point latest&amp;nbsp;offline documentation, Tutorials Point Documentation, Tutorials point Free Documentation, Tutorials point All documentation, Tutorials point Full docs&lt;br /&gt;
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&lt;br /&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/07/download-tutorials-point-offline.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/fWZ2NLG4u2Q/default.jpg" width="72"/><thr:total>7</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-3942782458189598389</guid><pubDate>Wed, 14 Jun 2017 05:32:00 +0000</pubDate><atom:updated>2017-10-24T03:44:46.121+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Download Free Blog Template</category><category domain="http://www.blogger.com/atom/ns#">Web Design</category><title>Download 20 responsive Free E-Commerce Template 2017</title><description>&lt;h3&gt;
Download 20 responsive Free E-Commerce Template 2017&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Are you looking some best E-Commerce Template? Then see the following free and responsive E-Commerce template and download now.&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2wHrJJ8jqqnf_PohZVuNFTaDEnYohtpeE0z7-3zhJdqP2QTK2H8K3UjI3anfWaQEG8MdBoyZkqGEcWK01wOy1okhcjBL0vl585U99qN_3BFMqIySuYaGvmvwptTdgwHrO2eJt5ajB0sBr/s1600/download-ecommerce-template.png" imageanchor="1"&gt;&lt;img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2wHrJJ8jqqnf_PohZVuNFTaDEnYohtpeE0z7-3zhJdqP2QTK2H8K3UjI3anfWaQEG8MdBoyZkqGEcWK01wOy1okhcjBL0vl585U99qN_3BFMqIySuYaGvmvwptTdgwHrO2eJt5ajB0sBr/s1600/download-ecommerce-template.png" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
E-Commerce Template 1 - My Mobile Store E-Commerce Template:&lt;/h4&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGNV4wNYg9vLooJHkwJudqd1RyhhMXcf6_xs5MaSIdH-0VH6ts8Hy5H9AvA83rC9XXMEHFu9uxWXeZXD76TSjjf7MVfE9M-GyW6vuxcOUHBDPiRNKDHvHAa7u1hrB47rzdbPhLtxx-UmNk/s1600/Ecommerce-Template-1-Main-Page.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" data-original-height="618" data-original-width="826" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGNV4wNYg9vLooJHkwJudqd1RyhhMXcf6_xs5MaSIdH-0VH6ts8Hy5H9AvA83rC9XXMEHFu9uxWXeZXD76TSjjf7MVfE9M-GyW6vuxcOUHBDPiRNKDHvHAa7u1hrB47rzdbPhLtxx-UmNk/s1600/Ecommerce-Template-1-Main-Page.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
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&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-primary btn-download" href="http://adf.ly/1msLmx" rel="nofollow" style="background: rgb(39, 219, 128); border: 0px; color: white; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 25px; text-decoration-line: none; transition: all 0.2s linear; vertical-align: baseline;" target="_blank"&gt;Download The Template Now&lt;/a&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;[Click&amp;nbsp;&lt;/span&gt;&lt;span style="background-position: 0px 0px; border: 0px; color: red; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px; outline: 0px; padding: 0px; vertical-align: baseline;"&gt;Skip Ad&lt;/span&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;and download from Media Fire]&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
E-Commerce Template 2 - MaxShop E-Commerce Template:&lt;/h4&gt;
&lt;/div&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg973mKQ9yQ88L5y514BrhXf7nUntDVe_goVKCNVshCnJzpq6ZYJujA9rGiViyjwpqxl8rr0zIbshLEyf5vmx1_QJuhVGec5gf1gsnE7-eO9DkGJEScjgz_RP7U-t8XL93bZPYwA0g4wqJ5/s1600/Ecommerce-Template-2-Product-List-Page.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" data-original-height="606" data-original-width="887" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg973mKQ9yQ88L5y514BrhXf7nUntDVe_goVKCNVshCnJzpq6ZYJujA9rGiViyjwpqxl8rr0zIbshLEyf5vmx1_QJuhVGec5gf1gsnE7-eO9DkGJEScjgz_RP7U-t8XL93bZPYwA0g4wqJ5/s1600/Ecommerce-Template-2-Product-List-Page.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-primary btn-download" href="http://adf.ly/1msOOU" rel="nofollow" style="background: rgb(17, 86, 251); border: 0px; color: white; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; transition: all 0.2s linear; vertical-align: baseline;" target="_blank"&gt;Download The Template Now &lt;/a&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;[Click&amp;nbsp;&lt;/span&gt;&lt;span style="background-position: 0px 0px; border: 0px; color: red; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px; outline: 0px; padding: 0px; vertical-align: baseline;"&gt;Skip Ad&lt;/span&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;and download from Media Fire]&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
E-Commerce Template 3 Groovy E-Commerce Template:&lt;/h4&gt;
&lt;/div&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhsFtgnaCqm1e2Ehs8yy1HRwhJ85IILubKxqcCB30mvRbQOUrFXgGkbHbt7ggPN5jFn0Kn0LrHYqI4PvPXIprqi9-LW8MsTL5JHft5rbKQQ4jQXel77i5AnNzPvSYISiBdhF_BdV4JyH3uG/s1600/Ecommerce-Template-3-Main-Page.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" data-original-height="632" data-original-width="877" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhsFtgnaCqm1e2Ehs8yy1HRwhJ85IILubKxqcCB30mvRbQOUrFXgGkbHbt7ggPN5jFn0Kn0LrHYqI4PvPXIprqi9-LW8MsTL5JHft5rbKQQ4jQXel77i5AnNzPvSYISiBdhF_BdV4JyH3uG/s1600/Ecommerce-Template-3-Main-Page.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-live" href="https://p.w3layouts.com/demos_new/17-01-2017/groovy_apparel-demo_Free/435669694/web/index.html" rel="nofollow" style="background: rgb(255, 0, 110); border: 0px; color: #27db80; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; vertical-align: baseline;" target="_blank"&gt;See Live Demo&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-primary btn-download" href="http://adf.ly/1msQ8h" rel="nofollow" style="background: rgb(17, 86, 251); border: 0px; color: white; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; transition: all 0.2s linear; vertical-align: baseline;" target="_blank"&gt;Download Link&lt;/a&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;[Click&amp;nbsp;&lt;/span&gt;&lt;span style="background-position: 0px 0px; border: 0px; color: red; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px; outline: 0px; padding: 0px; vertical-align: baseline;"&gt;Skip Ad&lt;/span&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;and download from Media Fire]&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
E-Commerce Template 4 - Store E-Commerce Template:&lt;/h4&gt;
&lt;/div&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj44pRksdPTq68Sgubns6ECqkNvwKGIgkiaAlbCUK5zsIvfADLUm52JTB1vdEQj217WTEkU7SKX8o0cg7ezFHrX38ZFTpC9etQUkUoT7dJfM_1-lzUVxKut-RoJHGNrlA7QB-RbpIO3BrX9/s1600/Ecommerce-Template-4-Main-Page.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" data-original-height="562" data-original-width="933" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj44pRksdPTq68Sgubns6ECqkNvwKGIgkiaAlbCUK5zsIvfADLUm52JTB1vdEQj217WTEkU7SKX8o0cg7ezFHrX38ZFTpC9etQUkUoT7dJfM_1-lzUVxKut-RoJHGNrlA7QB-RbpIO3BrX9/s1600/Ecommerce-Template-4-Main-Page.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-live" href="https://p.w3layouts.com/demos/july-2016/07-07-2016/grocery_store/web/" rel="nofollow" style="background: rgb(255, 0, 110); border: 0px; color: #27db80; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; vertical-align: baseline;" target="_blank"&gt;See Live Demo&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-primary btn-download" href="http://adf.ly/1msQVb" rel="nofollow" style="background: rgb(17, 86, 251); border: 0px; color: white; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; transition: all 0.2s linear; vertical-align: baseline;" target="_blank"&gt;Download Link&lt;/a&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;[Click&amp;nbsp;&lt;/span&gt;&lt;span style="background-position: 0px 0px; border: 0px; color: red; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px; outline: 0px; padding: 0px; vertical-align: baseline;"&gt;Skip Ad&lt;/span&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;and download from Media Fire]&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
E-Commerce Template 5 - Electronic Store E-Commerce Template:&lt;/h4&gt;
&lt;/div&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjG0ln62P6I7qfh3rS-qkBQmLyAsHV0uaQK5vglxBQn9ybYOUSQZJSWtZUwVFz2hFZ4qOHJRVo6eahv5_NR7f2tmb71gyWdI3s_3nbv7BeHkI6PXjo93ma002g_mE97oPFYqHoWrPrlMeI1/s1600/Ecommerce-Template-5-Electrical-Template-Main-Page.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" data-original-height="600" data-original-width="954" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjG0ln62P6I7qfh3rS-qkBQmLyAsHV0uaQK5vglxBQn9ybYOUSQZJSWtZUwVFz2hFZ4qOHJRVo6eahv5_NR7f2tmb71gyWdI3s_3nbv7BeHkI6PXjo93ma002g_mE97oPFYqHoWrPrlMeI1/s1600/Ecommerce-Template-5-Electrical-Template-Main-Page.jpg" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-live" href="https://p.w3layouts.com/demos_new/30-01-2017/electronic_store-demo_Free/192355906/web/index.html" rel="nofollow" style="background: rgb(255, 0, 110); border: 0px; color: #27db80; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; vertical-align: baseline;" target="_blank"&gt;See Live Demo&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;a class="btn btn-primary btn-download" href="http://adf.ly/1mts3T" rel="nofollow" style="background: rgb(17, 86, 251); border: 0px; color: white; font-family: Roboto, sans-serif; font-size: 15px; margin: 20px 10px 20px 0px; outline: 0px; padding: 8px 20px; text-decoration-line: none; transition: all 0.2s linear; vertical-align: baseline;" target="_blank"&gt;Download Template Link&lt;/a&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;[Click&amp;nbsp;&lt;/span&gt;&lt;span style="background-position: 0px 0px; border: 0px; color: red; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px; outline: 0px; padding: 0px; vertical-align: baseline;"&gt;Skip Ad&lt;/span&gt;&lt;span style="background-color: aliceblue; color: #5e5e5e; font-family: &amp;quot;roboto&amp;quot; , sans-serif; font-size: 15px;"&gt;&amp;nbsp;and download from Media Fire]&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div&gt;
&lt;h4&gt;
&lt;/h4&gt;
&lt;h4&gt;
E-Commerce Template 6 - Smart Bazaar E-Commerce Template:&lt;/h4&gt;
&lt;/div&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
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&lt;h3&gt;
See a YouTube Video to help:&lt;/h3&gt;
&lt;br /&gt;
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&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/qD0GH0Y4UI8" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
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&lt;h4&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&lt;/span&gt;&lt;/b&gt;&lt;/h4&gt;
&lt;div&gt;
Download 20 responsive Free E-Commerce Template 2017, Ecommerce template download, free e-commerce template download, Download free responsive template, E-Commerce template, Responsive E-commerce template, Download template now, Ecommerce template, responsive template, download free web template, Free responsive E-Commerce template, Download 20 responsive Free E-Commerce Template 2017, Ecommerce template download, free e-commerce template download, Download free responsive template, E-Commerce template, Responsive E-commerce template, Download template now, Ecommerce template, responsive template, download free web template, Free responsive E-Commerce template&lt;/div&gt;
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</description><link>https://maniruzzaman-akash.blogspot.com/2017/06/download-20-responsive-free-e-commerce.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2wHrJJ8jqqnf_PohZVuNFTaDEnYohtpeE0z7-3zhJdqP2QTK2H8K3UjI3anfWaQEG8MdBoyZkqGEcWK01wOy1okhcjBL0vl585U99qN_3BFMqIySuYaGvmvwptTdgwHrO2eJt5ajB0sBr/s72-c/download-ecommerce-template.png" width="72"/><thr:total>16</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-5096492663355296360</guid><pubDate>Mon, 12 Jun 2017 15:52:00 +0000</pubDate><atom:updated>2017-10-24T03:50:19.343+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Numerical method Codes simple MatLab implementation</title><description>&lt;h3&gt;
Numerical method Codes simple MatLab implementation&lt;/h3&gt;
&lt;div&gt;
In this tutorial, we;ll learn about following MAT LAB works of Numerical Methods.&lt;br /&gt;
&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;Numerical Method Simpson 1/3 MatLab Code implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Simpson 3/8 &amp;nbsp;MatLab Code implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Gauss Elimination MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Gauss Elimination MatLab Code Implementation:&lt;/li&gt;
&lt;li&gt;Numerical Method Gauss Zordan MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Gauss Cramers Rule MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Newton Raphson MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Fixed Point Iteration MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method False Position Method MatLab Code Implementation&lt;/li&gt;
&lt;li&gt;Numerical Method Bisection Method MatLab Code Implementation&lt;/li&gt;
&lt;/ol&gt;
&lt;div&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;h4&gt;
Numerical Method Simpson 1/3 MatLab Code implementation:&lt;/h4&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt;  .2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.8&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; 
x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; 
x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt; 

fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.640533&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = ((&lt;/span&gt;fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; + (&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;6&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; * (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;

E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;


fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nIntegral = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nError = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Numerical Method Simpson 3/8 &amp;nbsp;MatLab Code implementation:&lt;/h4&gt;
&lt;div&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .8&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) * ((&lt;/span&gt;fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; fx3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;8&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Exact Integral : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;


fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nIntegral = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nError = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Numerical Method Gauss Elimination MatLab Code Implementation:&lt;/h4&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%%&lt;/span&gt; Gauss Elimination Problem&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;

%&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;   +&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;   +&lt;/span&gt; x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt; 2x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  +&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;   +&lt;/span&gt; 3x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt; 3x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  +&lt;/span&gt; 4x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  -&lt;/span&gt; 2x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 9&lt;/span&gt;


n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;   %&lt;/span&gt;Solve&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt; equestion here

Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1 1 1 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2 1 3 7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2 9&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;];

%%&lt;/span&gt; Forward Substitution&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt; Rj&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; Rj&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; ai&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;j&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;Ri Where ai&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;j&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;j&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)


%&lt;/span&gt; A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) -&lt;/span&gt; alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :);&lt;/span&gt;

alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) -&lt;/span&gt; alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :);

%&lt;/span&gt; A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) -&lt;/span&gt; alpha&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :);


%%&lt;/span&gt; Backward Substitution

x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; zeros&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) = (&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)) /&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) = (&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) - (&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))) /&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);

%&lt;/span&gt; Different Solution&lt;span class="keyword" style="color: #990000;"&gt; using&lt;/span&gt; loop&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt; for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt;     x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) = (&lt;/span&gt;Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)) /&lt;/span&gt; Ab&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);
%&lt;/span&gt; end

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Answer'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nx1 = %.4f\nx2 = %.4f\nx3 = %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;),&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;),&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Numerical Method Gauss Zordan MatLab Code Implementation:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 7.85&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .1&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt;19.3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2 10&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 71.4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;];&lt;/span&gt;

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Start Matrix :'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
for&lt;/span&gt; r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;
    
    A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :);&lt;/span&gt;
    A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;/&lt;/span&gt;A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) =&lt;/span&gt; A&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;    %&lt;/span&gt;Set matrix from A For row&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    
    for&lt;/span&gt; s&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
        if&lt;/span&gt; r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;~=&lt;/span&gt;s
            M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;s&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) =&lt;/span&gt;  M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;s&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) -&lt;/span&gt;  M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;, :) *&lt;/span&gt; M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;s&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; r&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
        end
    end
end

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Matrix :'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Solution :'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)

%&lt;/span&gt;disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(:,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'X = %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Y = %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Z = %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))&lt;/span&gt;

&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Numerical Method Gauss Cramers Rule MatLab Code Implementation:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%&lt;/span&gt;Cramers Rule Problems&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
%&lt;/span&gt; Use cramer rules to solve the problem&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
% .&lt;/span&gt;3x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; + .&lt;/span&gt;52x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;     = -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;01&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
% .&lt;/span&gt;5x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;    +&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.&lt;/span&gt;9x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .67&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;
% .&lt;/span&gt;1x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; + .&lt;/span&gt;3x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;  + .&lt;/span&gt;5x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;   = -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;44&lt;/span&gt;

det_M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .52&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .5&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.9&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .1 .3 .5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ];&lt;/span&gt;
determinant&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; det&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;det_M&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

det_x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [-.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;01&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .52&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .67&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.9&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;44&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .3 .5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ];&lt;/span&gt;
x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; det&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;det_x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; determinant&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;


det_x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;01 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .5 .67 1.9&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;44&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ];&lt;/span&gt;
x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; det&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;det_x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; determinant&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

det_x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .52&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;01&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .5&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .67&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; .1 .3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -.&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;44&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ];&lt;/span&gt;
x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; det&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;det_x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; determinant&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;


disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Solutions'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'x1 = %.2f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'x2 = %.2f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'x3 = %.2f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);

%&lt;/span&gt;disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;determinant&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Numerical Method Newton Raphson MatLab Code Implementation:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%&lt;/span&gt;Function e&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^-&lt;/span&gt;x
f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;  exp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(-&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
f1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)  -&lt;/span&gt;exp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(-&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;         %&lt;/span&gt;Given&lt;span class="flow" style="color: red;"&gt;

for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;10&lt;/span&gt;
    y&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; - ((&lt;/span&gt;feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))/(&lt;/span&gt;feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)));&lt;/span&gt;
    x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; y&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nStep %d Result %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; y&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
end

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nResult of Newton Raphson : %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; y&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h4&gt;
Numerical Method Fixed Point Iteration MatLab Code Implementation:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%&lt;/span&gt;Function e&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^-&lt;/span&gt;x
f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;  exp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(-&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;10&lt;/span&gt;
    result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Step %d Result %.4f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
end

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nResult is : %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Numerical Method False Position Method MatLab Code Implementation:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%&lt;/span&gt;Function
f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 2.7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Lower Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -((&lt;/span&gt;f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; * (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))/ (&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter absolute error : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

while&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt; given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    else&lt;/span&gt;
        u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
    
    root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -((&lt;/span&gt;f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; * (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))/ (&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
    absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Root %f Error %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'-------------------------------'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Root = %f and absolute error = %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Numerical Method Bisection Method MatLab Code Implementation:&lt;/h4&gt;
&lt;h4&gt;
&lt;pre style="font-weight: normal;"&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Lower Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter absolute error : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nStep a\tb\tf(a)\tf(b)\troot\tError_abs\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
while&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt; given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
    f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    else&lt;/span&gt;
        u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Step %f Error %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nStep a\tb\tf(a)\tf(b)\troot\tError_abs\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'-------------------------------'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Root = %f and absolute error = %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;/h4&gt;
&lt;h4&gt;
&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/h4&gt;
&lt;h4&gt;
&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/h4&gt;
&lt;h4&gt;
&lt;b&gt;Tags:&amp;nbsp;&lt;/b&gt;&lt;/h4&gt;
&lt;div&gt;
Numerical method Codes simple MatLab implementation, Numerical Method Gauss Elimination Matlab code, Numerical Method Gauss Zordan Matlab code, Numerical Method Newton Raphson code, Numerical Method Cramers Rules Matlab code, Numerical Method Simpson 1/3 MatLab Code implementation.Numerical Method Simpson 3/8 &amp;nbsp;MatLab Code implementation.Numerical Method Gauss Elimination MatLab Code Implementation.Numerical Method Gauss Elimination MatLab Code Implementation:.Numerical Method Gauss Zordan MatLab Code Implementation.Numerical Method Gauss Cramers Rule MatLab Code Implementation.Numerical Method Newton Raphson MatLab Code Implementation.Numerical Method Fixed Point Iteration MatLab Code Implementation.Numerical,Method False Position Method MatLab Code Implementation,Numerical Method Bisection Method MatLab Code Implementation&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/06/numerical-method-codes-simple-matlab.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-6273617756582297307</guid><pubDate>Mon, 12 Jun 2017 15:34:00 +0000</pubDate><atom:updated>2017-10-24T18:48:17.631+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Numerical Methods 20 Multiple Choice Questions and Answers</title><description>&lt;h1 align="center" style="text-align: center;"&gt;
&lt;span style="font-size: 20.0pt; line-height: 107%;"&gt;Numerical Methods Question and Fill in the Blanks&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h1&gt;
&lt;div align="center" class="MsoNormal" style="text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt; line-height: 107%;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt; line-height: 107%;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; vertical-align: baseline;"&gt;
&lt;b&gt;&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;In which of the following
method, we approximate the curve of solution by the tangent in each interval.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; vertical-align: baseline;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in; vertical-align: baseline;"&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;a.&lt;span style="font-family: &amp;quot;times new roman&amp;quot;; font-size: 7pt; font-stretch: normal; line-height: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;verdana&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;Picard’s method&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in; vertical-align: baseline;"&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;b.&lt;span style="font-family: &amp;quot;times new roman&amp;quot;; font-size: 7pt; font-stretch: normal; line-height: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;verdana&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;Euler’s method&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in; vertical-align: baseline;"&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;c.&lt;span style="font-family: &amp;quot;times new roman&amp;quot;; font-size: 7pt; font-stretch: normal; line-height: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;verdana&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;Newton’s method&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin: 0in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in; vertical-align: baseline;"&gt;
&lt;!--[if !supportLists]--&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;d.&lt;span style="font-family: &amp;quot;times new roman&amp;quot;; font-size: 7pt; font-stretch: normal; line-height: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;verdana&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;Runge Kutta method&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;inherit&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 12.0pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; vertical-align: baseline;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; vertical-align: baseline;"&gt;
&lt;span style="border: none 1.0pt; color: #444444; font-family: &amp;quot;verdana&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.0pt; padding: 0in;"&gt;Ans- B&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;times new roman&amp;quot; , &amp;quot;serif&amp;quot;; font-size: 11.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; vertical-align: baseline;"&gt;
&lt;br /&gt;
&lt;a name='more'&gt;&lt;/a&gt;&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;The convergence of
which of the following method is sensitive to starting value?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;False position&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Gauss seidal method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Newton-Raphson method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;All of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans – C&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&amp;nbsp;Newton-Raphson
method is used to find the root of the equation x2 - 2 = 0.&lt;br /&gt;
&amp;nbsp; &amp;nbsp; If iterations are started from - 1, then iterations will be&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184; width: 635px;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in; width: 465.75pt;" valign="top" width="621"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;converge to -1&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in; width: 465.75pt;" valign="top" width="621"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;converge to √2&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in; width: 465.75pt;" valign="top" width="621"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;converge to &amp;nbsp;&amp;nbsp;&amp;nbsp;-√2&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
  &amp;nbsp;(Ans) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in; width: 465.75pt;" valign="top" width="621"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;no coverage&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans – C&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Which of the following
statements applies to the bisection method used for finding roots of functions?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Converges within a few iterations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Guaranteed to work for all continuous
  functions&amp;nbsp;&amp;nbsp; (Ans)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Is faster than the Newton-Raphson method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Requires that there be no error in
  determining the sign of the function&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans&amp;nbsp; - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;We wish to solve x2 -
2 = 0 by Newton Raphson technique. If initial guess is x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;0&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&amp;nbsp;= 1.0, subsequent estimate of x (i.e. x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;1&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;) &amp;nbsp;will be&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.414&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.5&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style="color: red; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;(Ans)&lt;/span&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Using Newton-Raphson
method, find a root correct to three decimal places of the equation x3 - 3x - 5
= 0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.275&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.279&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.222&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;In the Gauss
elimination method for solving a system of linear algebraic
equations,triangularzation leads to&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Diagonal matrix&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Lower triangular matrix&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Upper triangular matrix&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Singular matrix&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;If &amp;nbsp; Δf(x)
&amp;nbsp;= &amp;nbsp;f(x+h) - f(x), then a constant k, Δk equals&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;f(k)- f(0)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;f(x + k) - f(x)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Double (Repeated) root
of&lt;br /&gt;
4x3- 8x2- 3x + 9 = 0 by Newton-raphson method is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.4&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.5&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.6&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.55&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Using Bisection
method, negative root of x3 - 4x + 9 = 0 correct to three decimal places is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;-2.506&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;-2.706&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;- 2.406&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Four arbitrary points
(x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;1&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;, y&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;1&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;),
(x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;2,&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&amp;nbsp;y&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;2&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;), (x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;3&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;, y&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;3&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;),(x&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;4&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;, y&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;4&lt;/span&gt;&lt;/sub&gt;&lt;/b&gt;&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;) are given in the x, y-plane. Using the
method of least squares, if regressing y upon x gives the fitted line y = ax +
b; and regressing y upon x gives the fitted line y + ax + b; and regressing x
upon y gives the fitted line&lt;br /&gt;
x = cy + d, then&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Two fitted lines must coincide&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Two fitted lines need not coincide&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;It is possible that ac = 0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;A must be 1/c (Ans)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Ans - D&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;The root of x3 - 2x -
5 = 0 correct to three decimal places by using Newton-Raphson method is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.0946&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.0404&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.7321&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0.7011&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - A&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Newton-Raphson method
of solution of numerical equation is not preferred when&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Graph of A(B) is vertical&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Graph of x(y) is not parallel&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;The graph of f(x) is nearly horizontal-where
  it crosses the x-axis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - C&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Following are the
values of a function y(x) : y(-1) = 5, y(0), y(1) = 8&lt;br /&gt;
&lt;br /&gt;
dy/dx at x = 0 as per Newton's central difference scheme is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1.5&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;3.0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;A root of the equation
x3 - x - 11 = 0 correct to four decimals using bisection method is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.3737&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.3838&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2.3736&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - C&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;br /&gt;
Newton-Raphson method is applicable to the solution of&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Both algebraic and transcendental Equations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Both algebraic and transcendental and also
  used when the roots are complex&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Algebraic equations only&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Transcendental equations only&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - A&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&amp;nbsp;The order of
error s the Simpson's rule for numercal integration with a step size h is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;h&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;h&lt;/span&gt;&lt;sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;2&lt;/span&gt;&lt;/sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;h&lt;/span&gt;&lt;sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;3&lt;/span&gt;&lt;/sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;h&lt;/span&gt;&lt;sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 8.0pt;"&gt;4&lt;/span&gt;&lt;/sup&gt;&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - B&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;In which of the
following methods proper choice of initial value is very important?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Bisection method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;False position&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Newton-Raphson&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Bairsto method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - C&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Using Newton-Raphson
method, find a root correct to three decimal places of the equation sin x = 1 -
x&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0.511&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0.500&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;0.555&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - A&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Errors may occur in
performing numerical computation on the computer due to&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Rounding errors&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Power fluctuation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Operator fatigue&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;All of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - A&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;
&lt;hr align="center" size="2" width="100%" /&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal" style="background: white; line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;Match the following:&lt;br /&gt;
&lt;br /&gt;
A.&amp;nbsp;Newton-Raphson&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;
&amp;nbsp; &amp;nbsp;&amp;nbsp; 1. Integration&lt;br /&gt;
B. Runge-kutta &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp; &amp;nbsp;2.&amp;nbsp;Root finding&lt;br /&gt;
C. Gauss-seidel &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&amp;nbsp;3.&amp;nbsp;Ordinary Diferential Equations&lt;br /&gt;
D. Simpson's Rule &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;
&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;4.&amp;nbsp;Solution of system of Linear Equations&lt;br /&gt;
&lt;br /&gt;
Codes:&lt;br /&gt;
ABCD&lt;br /&gt;
&lt;br /&gt;
&amp;nbsp;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="background: white; border-collapse: collapse; margin-left: 18.75pt; mso-yfti-tbllook: 1184;"&gt;
 &lt;tbody&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;A.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;2341&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;B.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;3214&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;C.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;1423&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;tr&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;&lt;a href="https://draft.blogger.com/null"&gt;&lt;b&gt;&lt;span style="color: #0d8619;"&gt;D.&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
  &lt;td style="padding: 0in 0in 0in 0in;" valign="top"&gt;&lt;div class="MsoNormal" style="line-height: normal; margin-bottom: 11.25pt;"&gt;
&lt;span style="color: #444444; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;None of these&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;
&lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class="MsoNormal"&gt;
Ans - A&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div align="center" class="MsoNormal" style="background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;"&gt;
&lt;b&gt;&lt;span style="color: #222222; font-family: &amp;quot;arial&amp;quot; , &amp;quot;sans-serif&amp;quot;; font-size: 10.5pt;"&gt;

&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;a class="btn btn-download btn-primary" href="http://www.mediafire.com/file/zb7sp9m4uwyazut/Numerical_Methods_Questions_and_answers.pdf" rel="nofollow" target="_blank"&gt;Download File as PDF&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&amp;nbsp;&lt;/span&gt;&lt;/b&gt;&lt;/h4&gt;
&lt;div class="MsoNormal"&gt;
Numerical Methods 20 Multiple Choice Questions and Answers, Numerical method multiple choice question, Numerical method short question, Numerical method question, Numerical method fill in the blanks, Numerical method viva question, Numerical methods short question, Numerical method question and answer, Numerical method question answer&lt;/div&gt;
&lt;div class="MsoNormal"&gt;
&lt;br /&gt;&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/06/numerical-methods-20-multiple-choice.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>2</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-9066005626909283467</guid><pubDate>Fri, 26 May 2017 19:46:00 +0000</pubDate><atom:updated>2017-05-27T01:46:42.047+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Web Design</category><category domain="http://www.blogger.com/atom/ns#">Web Development</category><title>How to redirect one page URL to another page URL by javascript</title><description>&lt;h3&gt;
Question:&lt;/h3&gt;
How to redirect one page URL to another page URL by JavaScript?&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Solution:&lt;/h3&gt;
We can use PHP for redirecting one page to another. But it is simple to redirect multiple url redirection from one URL to other URL by JavaScript easily.&lt;br /&gt;
&lt;br /&gt;
See the Simple pseudo code of javascript page redirection,&lt;br /&gt;
&lt;br /&gt;
&lt;pre class="default prettyprint prettyprinted" style="background-color: #eff0f1; border: 0px; color: #393318; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-size: 13px; font-stretch: inherit; font-variant-numeric: inherit; line-height: inherit; margin-bottom: 1em; max-height: 600px; overflow: auto; padding: 5px; vertical-align: baseline; width: auto; word-wrap: normal;"&gt;&lt;code style="border: 0px; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: inherit;"&gt;&lt;span class="tag" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;&amp;lt;script&amp;gt;&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="kwd" style="border: 0px; color: #101094; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;if&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;(&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href &lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;==&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt; &lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;'old_url'&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;)&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;{&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
    window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;=&lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;"new_url"&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;;&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;}&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;


&lt;/span&gt;&lt;span class="com" style="border: 0px; color: #858c93; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;//More url's redirect&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="kwd" style="border: 0px; color: #101094; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;if&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;(&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href &lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;==&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt; &lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;'old_url2'&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;)&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;{&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
    window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;=&lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;"new_url2"&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;;&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;}&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="tag" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;&amp;lt;/script&amp;gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;
&lt;br /&gt;
And real life example for that is:&lt;br /&gt;
&lt;br /&gt;
&lt;pre class="default prettyprint prettyprinted" style="background-color: #eff0f1; border: 0px; color: #393318; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-size: 13px; font-stretch: inherit; font-variant-numeric: inherit; line-height: inherit; margin-bottom: 1em; max-height: 600px; overflow: auto; padding: 5px; vertical-align: baseline; width: auto; word-wrap: normal;"&gt;&lt;code style="border: 0px; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: inherit;"&gt;&lt;span class="tag" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;&amp;lt;script&amp;gt;&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="kwd" style="border: 0px; color: #101094; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;if&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;(&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href &lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;==&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt; &lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;'https://test.com'&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;)&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;{&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
    window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;=&lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;"https://another.com"&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: inherit;"&gt;;&lt;/span&gt;&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;}&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;


&lt;/span&gt;&lt;span class="com" style="border: 0px; color: #858c93; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;//More url's redirect&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;&lt;pre class="default prettyprint prettyprinted" style="border: 0px; color: #393318; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-stretch: inherit; font-variant-numeric: inherit; line-height: inherit; margin-bottom: 1em; max-height: 600px; overflow: auto; padding: 5px; vertical-align: baseline; width: auto; word-wrap: normal;"&gt;&lt;code style="border: 0px; font-family: Consolas, Menlo, Monaco, &amp;quot;Lucida Console&amp;quot;, &amp;quot;Liberation Mono&amp;quot;, &amp;quot;DejaVu Sans Mono&amp;quot;, &amp;quot;Bitstream Vera Sans Mono&amp;quot;, &amp;quot;Courier New&amp;quot;, monospace, sans-serif; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: inherit;"&gt;&lt;span class="kwd" style="border: 0px; color: #101094; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;if&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;(&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href &lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;==&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt; &lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;'https://test.com/new-post'&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;)&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;{&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;
    window&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;location&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;.&lt;/span&gt;&lt;span class="pln" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;href&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;=&lt;/span&gt;&lt;span class="str" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;"https://another.com/duplicate-post"&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: inherit;"&gt;;&lt;/span&gt;&lt;/span&gt;&lt;span class="pun" style="border: 0px; color: #303336; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;}&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;
&lt;/span&gt;&lt;span class="tag" style="border: 0px; color: #7d2727; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"&gt;&amp;lt;/script&amp;gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&lt;/span&gt;&lt;/b&gt; Website redirect by javascript, Website redirects, Redirection of a site, How to redirect one page URL to another page URL by JavaScript,&amp;nbsp;How to redirect one page to another page &amp;nbsp;by javascript, Blogger page redirect, how to redirect a blogger page to another page, redirect html page, how to redirect html site to another site, how to redirect one site to another site&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/how-to-redirect-one-page-url-to-another.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>1</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-1955034606675438181</guid><pubDate>Fri, 26 May 2017 03:58:00 +0000</pubDate><atom:updated>2017-05-26T09:58:49.845+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">C Programming</category><category domain="http://www.blogger.com/atom/ns#">My Videos</category><title>URI 1003 online judge solution in C language - video</title><description>&lt;h3&gt;
URI 1003 online judge solution in C language - video&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;
Main site of URI 1003 Code solution -&amp;nbsp;&lt;a href="http://onlinejudgesolution.blogspot.com/2017/05/uri-online-judge-solution-1003-simple.html" rel="nofollow" target="_blank"&gt;http://onlinejudgesolution.blogspot.com/2017/05/uri-online-judge-solution-1003-simple.html&lt;/a&gt;&amp;nbsp;- URI 1003 code in C,C++,Java,Python and C#&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
YouTube video link of URI 1003 solution -&amp;nbsp;&lt;a href="https://www.youtube.com/watch?v=M9DH_YTCAIk" rel="nofollow" target="_blank"&gt;https://www.youtube.com/watch?v=M9DH_YTCAIk&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/hWG4itUg4CY" width="560"&gt;&lt;/iframe&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&amp;nbsp;&lt;/span&gt;&lt;/b&gt;URI 1003 solution, URI Simple sum solution video, URI 1003 code in C,C++,Java,Python and C#&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/uri-1003-online-judge-solution-in-c.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/hWG4itUg4CY/default.jpg" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-8762894059247100036</guid><pubDate>Fri, 26 May 2017 03:56:00 +0000</pubDate><atom:updated>2017-05-26T09:56:31.553+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">C Programming</category><category domain="http://www.blogger.com/atom/ns#">My Videos</category><title>URI 1002 online judge solution in C language - video</title><description>&lt;h3&gt;
URI 1002 online judge solution in C language - video&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;
Main site of URI 1002 Code -&amp;nbsp;&lt;a href="http://onlinejudgesolution.blogspot.com/2017/05/uri-online-judge-solution-1002-area-of.html" rel="nofollow" target="_blank"&gt;http://onlinejudgesolution.blogspot.com/2017/05/uri-online-judge-solution-1002-area-of.html&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Youtube video link of URI 1002 solution -&amp;nbsp;&lt;a href="https://www.youtube.com/watch?v=hWG4itUg4CY" rel="nofollow" target="_blank"&gt;https://www.youtube.com/watch?v=hWG4itUg4CY&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/hWG4itUg4CY" width="560"&gt;&lt;/iframe&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags:&amp;nbsp;&lt;/span&gt;&lt;/b&gt;URI 1002 solution, URI Area of a circle solution video&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/uri-1002-online-judge-solution-in-c.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/hWG4itUg4CY/default.jpg" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-8838009637353981637</guid><pubDate>Fri, 26 May 2017 03:53:00 +0000</pubDate><atom:updated>2017-05-26T09:53:55.511+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">C Programming</category><category domain="http://www.blogger.com/atom/ns#">My Videos</category><title>URI 1001 online judge solution in C language - video</title><description>&lt;h3&gt;
URI 1001 online judge solution in C language - video&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;
Main site of URI 1001 Code -&amp;nbsp;&lt;a href="http://onlinejudgesolution.blogspot.com/2015/10/ura-online-judge-solution-1001-uri.html" rel="nofollow" target="_blank"&gt;http://onlinejudgesolution.blogspot.com/2015/10/ura-online-judge-solution-1001-uri.html&lt;/a&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Youtube video link of URI 1001 solution -&amp;nbsp;&lt;a href="https://www.youtube.com/watch?v=gfF-vT0BHoo" rel="nofollow" target="_blank"&gt;https://www.youtube.com/watch?v=gfF-vT0BHoo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/gfF-vT0BHoo" width="560"&gt;&lt;/iframe&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags: &lt;/span&gt;&lt;/b&gt;URI 1001 solution, URI extremely Basic solution video, URI 1001 solution in C&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/uri-1001-online-judge-solution-in-c.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/gfF-vT0BHoo/default.jpg" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-379962253464395290</guid><pubDate>Thu, 25 May 2017 03:43:00 +0000</pubDate><atom:updated>2017-05-25T09:43:37.238+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Blogger Tips</category><title>How to remove footer credit from blogger in 3 minutes video with description</title><description>&lt;h3&gt;
Simple Tutorial On - How to remove Footer Credit from Blogger.&lt;/h3&gt;
&lt;h4&gt;
Simple Steps:&amp;nbsp;&lt;/h4&gt;
&lt;br /&gt;
&lt;ol&gt;
&lt;li&gt;Open Blogger Themes from the left navigation bar&lt;/li&gt;
&lt;li&gt;Find footer pressing &amp;nbsp; &amp;nbsp;&lt;span style="background-color: #444444;"&gt;&lt;span style="color: white;"&gt;ctrl+f&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;Find the link/href of &lt;span style="color: blue;"&gt;&amp;lt;a&amp;gt;&lt;/span&gt; for which this is redirected.&lt;/li&gt;
&lt;li&gt;In that &lt;span style="color: blue;"&gt;&amp;lt;a href="xx.com"&amp;gt;XX&amp;lt;/a&amp;gt;&lt;/span&gt;&amp;nbsp;&lt;/li&gt;
&lt;li&gt;Change it to &lt;span style="color: blue;"&gt;&amp;lt;a style="visibility: hidden" href="xx.com"&amp;gt;XX&amp;lt;/a&amp;gt;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;Then Finish now footer credit will be removed and you can add your own footer credit in Blogger&lt;/li&gt;
&lt;/ol&gt;
&lt;br /&gt;
See the video for more clear. Only 3 minutes video.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allowfullscreen="" frameborder="0" height="344" src="https://www.youtube.com/embed/uIs0U39CceA" width="459"&gt;&lt;/iframe&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags: &lt;/span&gt;&lt;/b&gt;Blogger Footer credit remove, how to remove blogger footer credit,How to remove footer credit from blogger template, Blogger template, Blogger remove system of footer credit, remove footer credit, Blogger credit remove system</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/how-to-remove-footer-credit-from.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/uIs0U39CceA/default.jpg" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-3555098720168009124</guid><pubDate>Wed, 24 May 2017 10:00:00 +0000</pubDate><atom:updated>2017-05-24T16:00:22.739+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Blogger Tips</category><title>How to redirects blogger homepage to another page 3 minute video</title><description>&lt;br /&gt;
&lt;h3&gt;
How to redirects blogger homepage to another page 3 minute video&lt;/h3&gt;
Simple blogger tutorial on redirect blogger homepage to another page.&lt;br /&gt;
&lt;br /&gt;
&lt;iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/qjJG4vNkVfI" width="560"&gt;&lt;/iframe&gt;

&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;&lt;span style="color: blue;"&gt;Tags: &lt;/span&gt;&lt;/b&gt;Blogger Homepage redirection,&amp;nbsp;How to redirects blogger homepage to another page</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/how-to-redirects-blogger-homepage-to.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://img.youtube.com/vi/qjJG4vNkVfI/default.jpg" width="72"/><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-2206170028976545631</guid><pubDate>Tue, 02 May 2017 05:06:00 +0000</pubDate><atom:updated>2017-05-02T11:06:03.313+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>False Position method code implementation in Matlab</title><description>&lt;br /&gt;
&lt;h3&gt;
False Position method code implementation in Matlab&lt;/h3&gt;
Problem of False position method:&lt;br /&gt;
Find the root of the following function where function =&amp;nbsp;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 2.7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.5&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
User can take upper limit, lower limit and exact integral.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Code Implementation:&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;pre&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;%&lt;/span&gt;Function
f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 2.7&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Lower Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -((&lt;/span&gt;f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; * (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))/ (&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter absolute error : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

while&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt; given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    else&lt;/span&gt;
        u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
    
    root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -((&lt;/span&gt;f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; * (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;))/ (&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
    absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    previous_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Root %f Error %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'-------------------------------'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Root = %f and absolute error = %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/false-position-method-code.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>2</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-942549924641924005</guid><pubDate>Tue, 02 May 2017 05:02:00 +0000</pubDate><atom:updated>2017-05-02T11:02:45.063+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Bisection Code implementation in Matlab</title><description>&lt;h3&gt;
Bisection Code implementation in Matlab&lt;/h3&gt;
Find the root of the following function using bisection method where user ca take upper, lower limit and exact integral from user. Function is &amp;nbsp;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
You can use any function here..&lt;br /&gt;
&lt;br /&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Lower Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter absolute error : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nStep a\tb\tf(a)\tf(b)\troot\tError_abs\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
while&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt; given_absoulte_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
    f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    f_u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f_l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; f_root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; &amp;gt;&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    else&lt;/span&gt;
        u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;l&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; u&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) /&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    prev_approximation&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Step %f Error %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nStep a\tb\tf(a)\tf(b)\troot\tError_abs\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
    
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

disp&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'-------------------------------'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Final Root = %f and absolute error = %f'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; root&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; absolute_error&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/bisection-code-implementation-in-matlab.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-2591788313088771102</guid><pubDate>Tue, 02 May 2017 04:54:00 +0000</pubDate><atom:updated>2017-05-02T10:54:39.119+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Simpsons 1/3 Code implementation in Matlab using dynamic parts</title><description>&lt;h3&gt;
Simpsons 1/3 Code implementation in Matlab using dynamic parts&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Solution of Simpson 1/3 using dynamic segment of the polynomial&lt;/h3&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt;  0.2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter how many parts do you want? : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter lower limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

part&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;];&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;


for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="flow" style="color: red;"&gt;
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    else&lt;/span&gt;
        array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; part&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;




result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;
    x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ||&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ==&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
    end&lt;span class="flow" style="color: red;"&gt;
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;~=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ||&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;~=&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
       if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;rem&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
           result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
       else&lt;/span&gt;
           result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
       end
    end
end



I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) * (&lt;/span&gt;result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; /(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nIntegral is : %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.640533&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nTrue Error = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
&lt;/pre&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;
&lt;br /&gt;</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/simpsons-13-code-implementation-in.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-1991701043814093152</guid><pubDate>Tue, 02 May 2017 04:50:00 +0000</pubDate><atom:updated>2017-05-02T10:50:31.418+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Traphezoidal rules code implementation in Matlab- Dynamic parts</title><description>&lt;h3&gt;
Traphezoidal rules code implementation in Matlab- Dynamic parts&lt;/h3&gt;
Find the integral for the above function get upper limit and lower limit from user--&lt;br /&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
&lt;br /&gt;
In this problem, you can take divide the polynomial in mutiple parts. In this solution, this upto in 10 parts in array. You can do it more as your need.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;


n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter how many parts do you want? : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter lower limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Upper Limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

part&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = [&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;];&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;


if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
    array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
else
    for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="flow" style="color: red;"&gt;
        if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
            array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
        else&lt;/span&gt;
            array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) =&lt;/span&gt; array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; part&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
        end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
    end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
end&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;



result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;

for&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;:&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;+&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;
    x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;1&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;&lt;span class="flow" style="color: red;"&gt;
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;==&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ||&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ==&lt;/span&gt; n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
    end&lt;span class="flow" style="color: red;"&gt;
    if&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;~=&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;0&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; ||&lt;/span&gt; x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;~=&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;
        result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt;array&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;i&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;));&lt;/span&gt;
    end
end

I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;result&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; /&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;n&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) * (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Integral is = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 1.640533&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nTrue Error = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

&lt;/pre&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/traphezoidal-rules-code-implementation.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-946408603868300723</guid><pubDate>Tue, 02 May 2017 04:44:00 +0000</pubDate><atom:updated>2017-05-02T10:44:45.136+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Simpson's 3/8 rules code implementation in MatLab</title><description>&lt;h3&gt;
&lt;br /&gt;Problem of Simpson's 3/8 Rules :&lt;/h3&gt;
&lt;br /&gt;
Find the integral of the function, f = @ (x) 0.2 + 25*x - 200*(x^2) + 675*(x^3) -900*(x^4) + 400*(x^5); where lower limit = 0, upper limit = .8 and exact integral is = 1.640533&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;h3&gt;
Solution of Simpson 3/8 rules in Matlab:&lt;/h3&gt;
----------------------------------------&lt;br /&gt;
&lt;pre&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; @&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; (&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)&lt;/span&gt;&lt;span class="float" style="color: #996600;"&gt; 0.2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 25&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 200&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 675&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) -&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;900&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;4&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 400&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;x&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;^&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;5&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter lower limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter upper limit limit : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;-&lt;/span&gt;a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 2&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; *&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;

fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fx3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; feval&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;f&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; x3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; = (&lt;/span&gt;b&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; a&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) * ((&lt;/span&gt;fx0&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 3&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;*(&lt;/span&gt;fx1&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; +&lt;/span&gt; fx2&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) +&lt;/span&gt; fx3&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt;8&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;

exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; input&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'Enter Exact Integral : '&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; =&lt;/span&gt; abs&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;((&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt; -&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;)/&lt;/span&gt;exact_integral&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;) *&lt;/span&gt;&lt;span class="int" style="color: #999900;"&gt; 100&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;;&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nIntegral = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; I&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;
fprintf&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;(&lt;/span&gt;&lt;span class="char" style="color: #009900;"&gt;'\nTrue Error = %f\n'&lt;/span&gt;&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;,&lt;/span&gt; E&lt;span class="operator" style="color: #663300; font-weight: bold;"&gt;);&lt;/span&gt;&lt;/pre&gt;
----------------------------------------&lt;br /&gt;
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&lt;br /&gt;</description><link>https://maniruzzaman-akash.blogspot.com/2017/05/simpsons-38-rules-code-implementation.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><thr:total>0</thr:total></item><item><guid isPermaLink="false">tag:blogger.com,1999:blog-6219031879383390708.post-7875954440350449426</guid><pubDate>Mon, 24 Apr 2017 10:28:00 +0000</pubDate><atom:updated>2017-04-24T19:53:47.532+06:00</atom:updated><category domain="http://www.blogger.com/atom/ns#">Numerical Methods</category><title>Simpson's 1/3 Code in Matlab</title><description>&lt;h4&gt;
Simpson's 1/3 rules Code implementation in MatLab&lt;/h4&gt;
&lt;h3&gt;
&lt;span style="color: blue;"&gt;
Simpson's 1/3 rule&lt;/span&gt;&lt;/h3&gt;
&lt;div&gt;
&lt;div&gt;
From Book of &lt;b&gt;Steven Chopra&lt;/b&gt; -&lt;/div&gt;
&lt;div&gt;
Aside from applying the trapezoidal rule with finer segmentation, another way to obtain a more accurate estimate of an integral is to use higher-order polynomials to connect the points.&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
For example,&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
If there is an extra point midway between f(a) and f(b), the three points can be connected with a parabola.&lt;/div&gt;
&lt;div&gt;
&amp;nbsp;If there are two points equally spaced between f(a) and f(b), the four points can be connected with a third-order polynomial. The formulas that result from taking the integrals under these polynomials are called Simpson’s rules.&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Simpson’s 1/3 Rule to find integral is :&lt;br /&gt;
&lt;br /&gt;
&lt;div class="separator" style="clear: both; text-align: center;"&gt;
&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBeiOPVxjRNyeNgL0PTOz_Qlp899_2NTNo80aBGQUkWL9BPuIEQEsBn6LDYXzEoPFLkr1yarvgy0eKgu5KzupDZy5JyVIuBgZPzuIsKuqjYRE9p_63GArp8QQ64wi6faRmpyWSuf0ETaef/s1600/Simpsons-1-by-3_rule.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img alt="Simpson's 1/3 rules Code implementation in MatLab" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBeiOPVxjRNyeNgL0PTOz_Qlp899_2NTNo80aBGQUkWL9BPuIEQEsBn6LDYXzEoPFLkr1yarvgy0eKgu5KzupDZy5JyVIuBgZPzuIsKuqjYRE9p_63GArp8QQ64wi6faRmpyWSuf0ETaef/s1600/Simpsons-1-by-3_rule.jpg" title="Simpson's 1/3 rules Code implementation in MatLab" /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Simpson's 1/3 rules Code implementation in MatLab&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;span style="color: red;"&gt;&lt;b&gt;&lt;u&gt;Question is:&lt;/u&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;
&lt;div&gt;
&lt;div&gt;
f (x) = 0.2 + 25x -&amp;nbsp;200x2 + 675x3 - 900x4 + 400x5&lt;/div&gt;
&lt;div&gt;
from a 5 0 to b 5 0.8. Recall that the exact integral is 1.640533. Find the Integral and exact error&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Solution in normal numerical mathematics of Simpson's 1/3 rules:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;div&gt;
f(0) = &amp;nbsp;0.2&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
f(0.4) = 2.456&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
f(0.8) = 0.232&lt;/div&gt;
&lt;div&gt;
Therefore,above figure equation can be used to compute&lt;/div&gt;
&lt;div&gt;
I = (0.8 - 0) * (0.2 + 4*(2.456) + 0.232)/6&lt;/div&gt;
&lt;div&gt;
&amp;nbsp; &amp;nbsp;= 1.367467&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
which represents an exact error of&lt;/div&gt;
&lt;div&gt;
E = 1.640533 - 1.367467&lt;/div&gt;
&lt;div&gt;
&amp;nbsp; &amp;nbsp;= &amp;nbsp;0.2730667&amp;nbsp;&lt;/div&gt;
&lt;div&gt;
Et = &amp;nbsp;16.6%&lt;/div&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
&lt;h4&gt;
Solution in matlab coding of Simpson's 1/3 rules:&lt;/h4&gt;
&lt;/div&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;pre&gt;&lt;span style="color: lime;"&gt;% Author : Maniruzzaman Akash
% Code   : Simpsons 1/3 Rules Code in Matlab Implementation

% Function &lt;/span&gt;
f = @ (x)  .2+ 25*x - 200*x^2+675*x^3-900*x^4+400*x^5;

disp(&lt;span style="color: red;"&gt;'Press 1 for set values '&lt;/span&gt;);
disp(&lt;span style="color: red;"&gt;'Press 2 for see results '&lt;/span&gt;);
disp(&lt;span style="color: red;"&gt;'Press 0 for exit the program '&lt;/span&gt;);
disp(&lt;span style="color: red;"&gt;'---------------------------------'&lt;/span&gt;);

isInputGiven = false;
&lt;span style="color: blue;"&gt;while&lt;/span&gt;(1)
    choose = input('Give your choose option: ');
    &lt;span style="color: blue;"&gt;if&lt;/span&gt;(choose == 1)
        a = input(&lt;span style="color: red;"&gt;'Enter lower limit : '&lt;/span&gt;);

        b = input(&lt;span style="color: red;"&gt;'Enter upper limit : '&lt;/span&gt;);
        
        exact_integral = input(&lt;span style="color: red;"&gt;'Enter exact integral : '&lt;/span&gt;);

        x0 = a; 
        x1 = (b-a)/2; 
        x2 = b; 


        fx0 = feval(f,x0);
        fx1 = feval(f,x1);
        fx2 = feval(f,x2);

        integral = ((fx0 + (4*fx1) + fx2)/6 * (b-a));
        isInputGiven = true;
    &lt;span style="color: blue;"&gt;end&lt;/span&gt;;
    
    &lt;span style="color: blue;"&gt;if&lt;/span&gt;(choose == 2)
        &lt;span style="color: blue;"&gt;if&lt;/span&gt;(isInputGiven == true)
            integral_output = sprintf(&lt;span style="color: red;"&gt;'Integral is = %0.5f'&lt;/span&gt;,integral);
            disp(integral_output);
            
            exact_error = ((exact_integral - integral)/exact_integral) * 100 ;
            exact_error_output = sprintf('&lt;span style="color: red;"&gt;Exact Error = %0.5f'&lt;/span&gt;,exact_error);
            disp(exact_error_output);
        &lt;span style="color: blue;"&gt;end&lt;/span&gt;;
    &lt;span style="color: blue;"&gt;end&lt;/span&gt;;
    
    &lt;span style="color: blue;"&gt;if&lt;/span&gt;(choose == 0)
        disp('Exiting the code..');
        exit(0);
    &lt;span style="color: blue;"&gt;end&lt;/span&gt;;
&lt;span style="color: blue;"&gt;end&lt;/span&gt;;
&lt;/pre&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;h4&gt;
Output Of the above code will look like:&lt;/h4&gt;
&lt;table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSR6TtdLRVmxN7MIbOEl1euA4U7wq-vXcgw_xKCeLktHe3xpP4pPPMvEBTAapDtqgLVJQvgjlbWBEYflzsJKftTDizw-aMm3D0SDo7KqM7y8IDFg5qu62Z-tJ-BnJeEbvhJyWdk8WPKOQs/s1600/Simpsons-1-by-3.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"&gt;&lt;img alt="Simpson's 1/3 rules Code implementation in MatLab" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSR6TtdLRVmxN7MIbOEl1euA4U7wq-vXcgw_xKCeLktHe3xpP4pPPMvEBTAapDtqgLVJQvgjlbWBEYflzsJKftTDizw-aMm3D0SDo7KqM7y8IDFg5qu62Z-tJ-BnJeEbvhJyWdk8WPKOQs/s1600/Simpsons-1-by-3.jpg" title="Simpson's 1/3 rules Code implementation in MatLab" /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;&lt;h4 style="font-size: medium; text-align: start;"&gt;
Simpson's 1/3 rules Code implementation in MatLab&lt;/h4&gt;
&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;br /&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
&lt;div&gt;
Simpson 3/8 is just as the problem. Just Equation is the different for that math and change in equation in code also.&lt;br /&gt;
Thanks.&lt;/div&gt;
&lt;/div&gt;
</description><link>https://maniruzzaman-akash.blogspot.com/2017/04/simpsons-13-code-in-matlab.html</link><author>noreply@blogger.com (Maniruzzaman Akash)</author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" height="72" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBeiOPVxjRNyeNgL0PTOz_Qlp899_2NTNo80aBGQUkWL9BPuIEQEsBn6LDYXzEoPFLkr1yarvgy0eKgu5KzupDZy5JyVIuBgZPzuIsKuqjYRE9p_63GArp8QQ64wi6faRmpyWSuf0ETaef/s72-c/Simpsons-1-by-3_rule.jpg" width="72"/><thr:total>0</thr:total></item></channel></rss>