EBK APPLIED CALCULUS, ENHANCED ETEXT
6th Edition
ISBN: 9781119399353
Author: DA
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 3.5, Problem 7P
To determine
To find derivative of the below function.
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(28 points) Define T: [0,1] × [−,0] → R3 by
T(y, 0) = (cos 0, y, sin 0).
Let S be the half-cylinder surface traced out by T.
(a) (4 points) Calculate the normal field for S determined by T.
(14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of
ze(+2) sitting over the unit disk.
=
(a) (4 points) What is the boundary OS? Explain briefly.
(b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.
(6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S
is the unit circle x² + y² = 1. Let F(x, y, z) = (x², y², z²). Use the Stokes' Theorem to
calculate the line integral
Hint: First calculate V x F.
Jos F
F.ds.
Chapter 3 Solutions
EBK APPLIED CALCULUS, ENHANCED ETEXT
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10P
Ch. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Prob. 18PCh. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 21PCh. 3.1 - Prob. 22PCh. 3.1 - Prob. 23PCh. 3.1 - Prob. 24PCh. 3.1 - Prob. 25PCh. 3.1 - Prob. 26PCh. 3.1 - Prob. 27PCh. 3.1 - Prob. 28PCh. 3.1 - Prob. 29PCh. 3.1 - Prob. 30PCh. 3.1 - Prob. 31PCh. 3.1 - Prob. 32PCh. 3.1 - Prob. 33PCh. 3.1 - Prob. 34PCh. 3.1 - Prob. 35PCh. 3.1 - Prob. 36PCh. 3.1 - Prob. 37PCh. 3.1 - Prob. 38PCh. 3.1 - Prob. 39PCh. 3.1 - Prob. 40PCh. 3.1 - Prob. 41PCh. 3.1 - Prob. 42PCh. 3.1 - Prob. 43PCh. 3.1 - Prob. 44PCh. 3.1 - Prob. 45PCh. 3.1 - Prob. 46PCh. 3.1 - Prob. 47PCh. 3.1 - Prob. 48PCh. 3.1 - Prob. 49PCh. 3.1 - Prob. 50PCh. 3.1 - Prob. 51PCh. 3.1 - Prob. 52PCh. 3.1 - Prob. 53PCh. 3.1 - Prob. 54PCh. 3.1 - Prob. 55PCh. 3.1 - Prob. 56PCh. 3.1 - Prob. 57PCh. 3.1 - Prob. 58PCh. 3.1 - Prob. 59PCh. 3.1 - Prob. 60PCh. 3.1 - Prob. 61PCh. 3.1 - Prob. 62PCh. 3.1 - Prob. 63PCh. 3.1 - Prob. 64PCh. 3.1 - Prob. 65PCh. 3.1 - Prob. 66PCh. 3.1 - Prob. 67PCh. 3.1 - Prob. 68PCh. 3.1 - Prob. 69PCh. 3.1 - Prob. 70PCh. 3.1 - Prob. 71PCh. 3.1 - Prob. 72PCh. 3.1 - Prob. 73PCh. 3.1 - Prob. 74PCh. 3.1 - Prob. 75PCh. 3.1 - Prob. 76PCh. 3.1 - Prob. 77PCh. 3.1 - Prob. 78PCh. 3.1 - Prob. 79PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5PCh. 3.2 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10PCh. 3.2 - Prob. 11PCh. 3.2 - Prob. 12PCh. 3.2 - Prob. 13PCh. 3.2 - Prob. 14PCh. 3.2 - Prob. 15PCh. 3.2 - Prob. 16PCh. 3.2 - Prob. 17PCh. 3.2 - Prob. 18PCh. 3.2 - Prob. 19PCh. 3.2 - Prob. 20PCh. 3.2 - Prob. 21PCh. 3.2 - Prob. 22PCh. 3.2 - Prob. 23PCh. 3.2 - Prob. 24PCh. 3.2 - Prob. 25PCh. 3.2 - Prob. 26PCh. 3.2 - Prob. 27PCh. 3.2 - Prob. 28PCh. 3.2 - Prob. 29PCh. 3.2 - Prob. 30PCh. 3.2 - Prob. 31PCh. 3.2 - Prob. 32PCh. 3.2 - Prob. 33PCh. 3.2 - Prob. 34PCh. 3.2 - Prob. 35PCh. 3.2 - Prob. 36PCh. 3.2 - Prob. 37PCh. 3.2 - Prob. 38PCh. 3.2 - Prob. 39PCh. 3.2 - Prob. 40PCh. 3.2 - Prob. 41PCh. 3.2 - Prob. 42PCh. 3.2 - Prob. 43PCh. 3.2 - Prob. 44PCh. 3.2 - Prob. 45PCh. 3.2 - Prob. 46PCh. 3.2 - Prob. 47PCh. 3.2 - Prob. 48PCh. 3.2 - Prob. 49PCh. 3.2 - Prob. 50PCh. 3.2 - Prob. 51PCh. 3.2 - Prob. 52PCh. 3.2 - Prob. 53PCh. 3.2 - Prob. 54PCh. 3.2 - Prob. 55PCh. 3.2 - Prob. 56PCh. 3.2 - Prob. 57PCh. 3.2 - Prob. 58PCh. 3.2 - Prob. 59PCh. 3.2 - Prob. 60PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.3 - Prob. 11PCh. 3.3 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.3 - Prob. 27PCh. 3.3 - Prob. 28PCh. 3.3 - Prob. 29PCh. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Prob. 35PCh. 3.3 - Prob. 36PCh. 3.3 - Prob. 37PCh. 3.3 - Prob. 38PCh. 3.3 - Prob. 39PCh. 3.3 - Prob. 40PCh. 3.3 - Prob. 41PCh. 3.3 - Prob. 42PCh. 3.3 - Prob. 43PCh. 3.3 - Prob. 44PCh. 3.3 - Prob. 45PCh. 3.3 - Prob. 46PCh. 3.3 - Prob. 47PCh. 3.3 - Prob. 48PCh. 3.3 - Prob. 49PCh. 3.3 - Prob. 50PCh. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Prob. 53PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Prob. 46PCh. 3.4 - Prob. 47PCh. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 21PCh. 3.5 - Prob. 22PCh. 3.5 - Prob. 23PCh. 3.5 - Prob. 24PCh. 3.5 - Prob. 25PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.5 - Prob. 28PCh. 3.5 - Prob. 29PCh. 3.5 - Prob. 30PCh. 3.5 - Prob. 31PCh. 3.5 - Prob. 32PCh. 3.5 - Prob. 33PCh. 3.5 - Prob. 34PCh. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3 - Prob. 1SYUCh. 3 - Prob. 2SYUCh. 3 - Prob. 3SYUCh. 3 - Prob. 4SYUCh. 3 - Prob. 5SYUCh. 3 - Prob. 6SYUCh. 3 - Prob. 7SYUCh. 3 - Prob. 8SYUCh. 3 - Prob. 9SYUCh. 3 - Prob. 10SYUCh. 3 - Prob. 11SYUCh. 3 - Prob. 12SYUCh. 3 - Prob. 13SYUCh. 3 - Prob. 14SYUCh. 3 - Prob. 15SYUCh. 3 - Prob. 16SYUCh. 3 - Prob. 17SYUCh. 3 - Prob. 18SYUCh. 3 - Prob. 19SYUCh. 3 - Prob. 20SYUCh. 3 - Prob. 21SYUCh. 3 - Prob. 22SYUCh. 3 - Prob. 23SYUCh. 3 - Prob. 24SYUCh. 3 - Prob. 25SYUCh. 3 - Prob. 26SYUCh. 3 - Prob. 27SYUCh. 3 - Prob. 28SYUCh. 3 - Prob. 29SYUCh. 3 - Prob. 30SYUCh. 3 - Prob. 31SYUCh. 3 - Prob. 32SYUCh. 3 - Prob. 33SYUCh. 3 - Prob. 34SYUCh. 3 - Prob. 35SYUCh. 3 - Prob. 36SYUCh. 3 - Prob. 37SYUCh. 3 - Prob. 38SYUCh. 3 - Prob. 39SYUCh. 3 - Prob. 40SYUCh. 3 - Prob. 41SYUCh. 3 - Prob. 42SYUCh. 3 - Prob. 43SYUCh. 3 - Prob. 44SYUCh. 3 - Prob. 45SYUCh. 3 - Prob. 46SYUCh. 3 - Prob. 47SYUCh. 3 - Prob. 48SYUCh. 3 - Prob. 49SYUCh. 3 - Prob. 50SYUCh. 3 - Prob. 1FOTCh. 3 - Prob. 2FOTCh. 3 - Prob. 3FOTCh. 3 - Prob. 4FOTCh. 3 - Prob. 5FOTCh. 3 - Prob. 6FOTCh. 3 - Prob. 7FOTCh. 3 - Prob. 8FOTCh. 3 - Prob. 9FOTCh. 3 - Prob. 10FOTCh. 3 - Prob. 11FOTCh. 3 - Prob. 12FOTCh. 3 - Prob. 1FOPCh. 3 - Prob. 2FOPCh. 3 - Prob. 3FOPCh. 3 - Prob. 4FOPCh. 3 - Prob. 5FOPCh. 3 - Prob. 6FOPCh. 3 - Prob. 7FOPCh. 3 - Prob. 8FOPCh. 3 - Prob. 9FOPCh. 3 - Prob. 10FOPCh. 3 - Prob. 11FOPCh. 3 - Prob. 12FOPCh. 3 - Prob. 13FOPCh. 3 - Prob. 14FOPCh. 3 - Prob. 15FOPCh. 3 - Prob. 16FOPCh. 3 - Prob. 17FOPCh. 3 - Prob. 18FOPCh. 3 - Prob. 19FOPCh. 3 - Prob. 20FOPCh. 3 - Prob. 21FOPCh. 3 - Prob. 22FOPCh. 3 - Prob. 23FOPCh. 3 - Prob. 24FOPCh. 3 - Prob. 25FOPCh. 3 - Prob. 26FOPCh. 3 - Prob. 27FOPCh. 3 - Prob. 28FOPCh. 3 - Prob. 29FOPCh. 3 - Prob. 30FOPCh. 3 - Prob. 31FOPCh. 3 - Prob. 32FOPCh. 3 - Prob. 33FOPCh. 3 - Prob. 34FOPCh. 3 - Prob. 35FOPCh. 3 - Prob. 36FOPCh. 3 - Prob. 37FOPCh. 3 - Prob. 38FOPCh. 3 - Prob. 39FOPCh. 3 - Prob. 40FOPCh. 3 - Prob. 41FOPCh. 3 - Prob. 42FOPCh. 3 - Prob. 43FOPCh. 3 - Prob. 44FOPCh. 3 - Prob. 45FOPCh. 3 - Prob. 46FOPCh. 3 - Prob. 47FOPCh. 3 - Prob. 48FOPCh. 3 - Prob. 49FOPCh. 3 - Prob. 50FOPCh. 3 - Prob. 51FOPCh. 3 - Prob. 52FOPCh. 3 - Prob. 53FOPCh. 3 - Prob. 54FOPCh. 3 - Prob. 55FOPCh. 3 - Prob. 56FOPCh. 3 - Prob. 57FOPCh. 3 - Prob. 58FOPCh. 3 - Prob. 59FOPCh. 3 - Prob. 60FOPCh. 3 - Prob. 61FOPCh. 3 - Prob. 62FOPCh. 3 - Prob. 63FOP
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