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MAP 2302 Lecture 1: 1.1 Recitation

United States

Ordinary Differential Equations I

Mathematics Applied

Jordan D' Abruzzo

University of Central Florida

Solid Mechanics

Engineering Analysis-Statics

Structure and Properties of Materials

Principles of Electrical Engineering

Calculus with Analytic Geometry I

Calculus with Analytic Geometry III

Probability and Statistics for Engineers

<p>Proof Prove Property 3 of Theorem 1.1. (You may use Property 3 of Theorem 1.2.)</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>

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/24/2418585.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/24/2418585.png" alt=""></picture></p> <div id="hvs" class="hidden">arris@southplainscollege.edu. Printing is for personal, private use only. No part of this book may be reproduced or transmitted with ermission. Violators will be prosecuted CHAPTER 3 INQUIRY-BASED LEARNING PROJECT Transfonmations of Functions Being a creature of habit, Dylan usuallysets out each moming at 7 AM from his house for a jog. Figure 1 shows the graph of a functon, y dA. that represents Dylan's jog on Friday. a Use the graph in igure 1 to fill in the table below </div>

MAP 2302 Lecture 1: 1.1 Recitation

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f(1, 2)	=
f(1.1, 2.05)	=
Δz	=