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Applied Mathematics 1413 Lecture 80: 8.5 Polar Coordinate System

Canada

Applied Mathematics For Engineers I

Applied Mathematics

Allan Mac Issac

Western University

Linear Algebra With Numerical Analysis For Engineering

Applied Mathematics For Engineering II

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/42/4288387.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/42/4288387.png" alt=""></picture></p> <div id="ho1" class="hidden">Find the volume of the region satisfying X2 + y2 + z2 1 and Z 1/2. [Application] You are free to choose any coordinate system. (Rectangular, Polar, Cylindrical, or Spherical coordinate system.)</div> <span class="transcribed-text">Show transcribed image text</span> <span class="transcribed-image-text hidden">Find the volume of the region satisfying X2 + y2 + z2 1 and Z 1/2. [Application] You are free to choose any coordinate system. (Rectangular, Polar, Cylindrical, or Spherical coordinate system.)</span>

<p dir="ltr" role="presentation">Represented the enlisted points in polar coordinate system.</p>
<ol>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation">(4, 0)</p>
</li>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation">(3, 4)</p>
</li>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation">(6, -3)</p>
</li>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation"> (-2, 0)</p>
</li>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation">(-3, -3)</p>
</li>
<li dir="ltr" style="list-style-type: lower-alpha;">
<p dir="ltr" role="presentation">(-1, 5)</p>
</li>
</ol>

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;"> <div> <br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7328652.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7328652.jpeg" alt=""></picture> </div> </div> <div id="f3r" class="hidden">* Please show all procedures for each problem. (1-2) (6 points each) 1. Convert a point A-1, 11Ï in the polar coordinate system to the rectanguar coordinate system. 2. Find a set of parametric equations for the rectangular equation y through a point (1,-1) when t = 0. A-5 passing </div>

Applied Mathematics 1413 Lecture 80: 8.5 Polar Coordinate System

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