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MATH138 Lecture 2: Week 1

Canada

Calculus 2 For Honours Mathematics

Mathematics

Jordan Hamilton

University of Waterloo

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;"> <div>Please help explain. TIA.<br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7303742.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7303742.jpeg" alt=""></picture> </div> </div> <div id="etm" class="hidden">11. 1.1-M points LarCalcET6 5.7.036 My Notes Ask Your Tea Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) Need Help?Read It Talk to a Tutor </div>

<p>The following experimental values of x and y have been obtained </p>
<p> </p>
<table style="border-collapse: collapse; width: 100%; height: 32px;" border="1">
<tbody>
<tr style="height: 16px;">
<td style="width: 4.16667%; height: 16px;">x</td>
<td style="width: 4.16667%; height: 16px;">1.1</td>
<td style="width: 8.33335%; height: 16px;">1.7</td>
<td style="width: 16.6667%; height: 16px;">2.4</td>
<td style="width: 16.6667%; height: 16px;">3.0</td>
<td style="width: 16.6667%; height: 16px;">3.7</td>
<td style="width: 16.6667%; height: 16px;">4.5</td>
<td style="width: 8.33335%; height: 16px;">5.1</td>
<td style="width: 8.33335%; height: 16px;">5.8</td>
</tr>
<tr style="height: 16px;">
<td style="width: 4.16667%; height: 16px;">y</td>
<td style="width: 4.16667%; height: 16px;">0.3</td>
<td style="width: 8.33335%; height: 16px;">0.6</td>
<td style="width: 16.6667%; height: 16px;">1.1</td>
<td style="width: 16.6667%; height: 16px;">1.7</td>
<td style="width: 16.6667%; height: 16px;">2.3</td>
<td style="width: 16.6667%; height: 16px;">3.0</td>
<td style="width: 8.33335%; height: 16px;">3.8</td>
<td style="width: 8.33335%; height: 16px;">4.6</td>
</tr>
</tbody>
</table>
<p>We have to draw the graph</p>

<p>Consider the following.</p>
<div class="indent">
<div class="watexline">f(x, y) = 4x − 7y</div>
</div>
<div class="indent">(a) Find <em>f</em>(<span style="color: #dd0000;">1</span>, <span style="color: #dd0000;">2</span>) and <em>f</em>(<span style="color: #dd0000;">1.1</span>, <span style="color: #dd0000;">2.05</span>) and calculate Δ<em>z</em>.<br>
<div class="watexline">
<table class="watexarray">
<tbody>
<tr>
<td class="watexmiddle watexright">f(1, 2)</td>
<td class="watexmiddle watexcenter"> = </td>
<td class="watexmiddle watexleft"><span class="qTextField"><input id="RN_3865198_4_0_3866480" dir="ltr" autocomplete="off" name="RN_3865198_4_0_3866480" size="10" type="text" value=""></span></td>
</tr>
<tr>
<td class="watexmiddle watexright">f(1.1, 2.05)</td>
<td class="watexmiddle watexcenter"> = </td>
<td class="watexmiddle watexleft"><span class="qTextField"><input id="RN_3865198_4_1_3866480" dir="ltr" autocomplete="off" name="RN_3865198_4_1_3866480" size="10" type="text" value=""></span></td>
</tr>
<tr>
<td class="watexmiddle watexright">Δz</td>
<td class="watexmiddle watexcenter"> = </td>
<td class="watexmiddle watexleft"><span class="qTextField"><input id="RN_3865198_4_2_3866480" dir="ltr" autocomplete="off" name="RN_3865198_4_2_3866480" size="10" type="text" value=""></span></td>
</tr>
</tbody>
</table>
</div>
<br><br>(b) Use the total differential <em>dz</em> to approximate Δ<em>z</em>.<br>
<div class="watexline">dz = <span class="qTextField"><input id="RN_3865198_4_3_3866480" dir="ltr" autocomplete="off" name="RN_3865198_4_3_3866480" size="10" type="text" value=""></span>
</div>
</div>
<div class="extraContent"> </div>

MATH138 Lecture 2: Week 1

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Related Questions

x	1.1	1.7	2.4	3.0	3.7	4.5	5.1	5.8
y	0.3	0.6	1.1	1.7	2.3	3.0	3.8	4.6

f(1, 2)	=
f(1.1, 2.05)	=
Δz	=