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MATH-3110 Lecture 4: 4.4 coordinate systems

"y ~ "i r y r, c  - b, j c. \ v b us1i ~ - ~ 1, x, x1, ji,_" ~ rf. [pt)()j~ -=- ~ \ -e:- "l y w ~ rn \ ly. _sh~x l""(x"t-d tir5 p(x) -== I, x, . x" )(, x_&gt; - 3x, " jlx ~ is g\i ,c c, "ou 11 1 fo,

United States

Linear Algebra

Mathematical Sciences

Kevin James

Clemson University

Statistics For Science And Engineering

Introduction To Proof

<p>7: Suppose that (x) is defined for all in an open interval / with a el.
(a) Prove the Decreasing Test: il l') <0 for all re I then / is decreasing in l.
(4

16
(1) Prove Permat's Theorem: il l'(a) exists and
then l'(a) = 0.
has a local maximum or minimum at x =




</p>

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7942774.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7942774.png" alt=""></picture></p> <div id="c0l" class="hidden">Let F(x, y, z) (3ex sin(y))Ã¬ + (3ex cos(y))j + 7z2k. Evaluate the integral F . ds, where c(t) = (7/t. t, exp (VE), o s t s 1. (Note that exp (u-eu.) F.ds </div> <span class="transcribed-text">Show transcribed image text</span> <span class="transcribed-image-text hidden">Let F(x, y, z) (3ex sin(y))Ã¬ + (3ex cos(y))j + 7z2k. Evaluate the integral F . ds, where c(t) = (7/t. t, exp (VE), o s t s 1. (Note that exp (u-eu.) F.ds </span>

<p><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7326707.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7326707.png" alt=""></picture></p> <div id="ii4" class="hidden">Let F(x, y) = x2+y2" x2 + y2 Show that ON.Oy where M-2yy2 and N-r2. (a) ON 2+2)2 dy 2212 ind "IF-dr (b) lf r(t)=cos(t)i+sin(t)j for osts, if r(t)= cos(t)i-sin(t)j for o stsn, findl F.dr (c) (d) If r(t) = cos(t)i + sin(t)j for 0 t 2n, find F . dr </div>

MATH-3110 Lecture 4: 4.4 coordinate systems

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