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# Show that exp(i :::) = exp(i;) if and only if::: = 11;r

ISBN: 9780073383170 169

## Solution for problem 3.9 Chapter Chapter 3

Complex Variables and Applications | 9th Edition

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Complex Variables and Applications | 9th Edition

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Problem 3.9

Show that exp(i :::) = exp(i;) if and only if::: = 11;r (11 = 0. I. 2 .... ). (Compare with Exercise 4. Sec. 29.)

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4.2 What Derivatives T ells Us I. What first derivatives tells us Increasing/Decreasing Test (I/D Test)  If f ‘ > 0 on interval  f is increasing on the interval  If f ‘ < 0 on interval  f is decreasing on the interval  F is decreasing on (-5,-2) (0,5)  F ‘ < 0  F is increasing on (-2,0)  F ‘ > 0  Corner points f ‘ DNE o F ‘ (-2) DNE, F ‘ (0) DNE  F is increasing on (-4,-3) (-1,1)  f ‘ < 0  F is decreasing on (-3,-1) (2,2)  f ‘ > 0  F ‘ (-3) = f ‘ (-1) = f ‘ (1) = 0 EXAMPLE 1: Sketching a function f(x) continuous on its domain (- ,) satisfying the following conditions. (1) F ‘ > 0 on (- , 0), (4,6) and (6, )  [ f increasing on (- , 0), (4,6) and (6, ) ] (2) f ‘

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##### ISBN: 9780073383170

Since the solution to 3.9 from Chapter 3 chapter was answered, more than 243 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 12 chapters, and 771 solutions. The full step-by-step solution to problem: 3.9 from chapter: Chapter 3 was answered by , our top Math solution expert on 12/23/17, 04:39PM. Complex Variables and Applications was written by and is associated to the ISBN: 9780073383170. The answer to “Show that exp(i :::) = exp(i;) if and only if::: = 11;r (11 = 0. I. 2 .... ). (Compare with Exercise 4. Sec. 29.)” is broken down into a number of easy to follow steps, and 25 words. This textbook survival guide was created for the textbook: Complex Variables and Applications, edition: 9.

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Show that exp(i :::) = exp(i;) if and only if::: = 11;r