EBK APPLIED CALCULUS, ENHANCED ETEXT
6th Edition
ISBN: 9781119399353
Author: DA
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 6, Problem 20FOP
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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 6 Solutions
EBK APPLIED CALCULUS, ENHANCED ETEXT
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.1 - Prob. 6PCh. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Prob. 9PCh. 6.1 - Prob. 10P
Ch. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Prob. 13PCh. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Prob. 17PCh. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Prob. 20PCh. 6.1 - Prob. 21PCh. 6.1 - Prob. 22PCh. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - Prob. 28PCh. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Prob. 34PCh. 6.1 - Prob. 35PCh. 6.1 - Prob. 36PCh. 6.1 - Prob. 37PCh. 6.1 - Prob. 38PCh. 6.1 - Prob. 39PCh. 6.1 - Prob. 40PCh. 6.1 - Prob. 41PCh. 6.1 - Prob. 42PCh. 6.1 - Prob. 43PCh. 6.1 - Prob. 44PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 5PCh. 6.2 - Prob. 6PCh. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.2 - Prob. 9PCh. 6.2 - Prob. 10PCh. 6.2 - Prob. 11PCh. 6.2 - Prob. 12PCh. 6.2 - Prob. 13PCh. 6.2 - Prob. 14PCh. 6.2 - Prob. 15PCh. 6.2 - Prob. 16PCh. 6.2 - Prob. 17PCh. 6.2 - Prob. 18PCh. 6.2 - Prob. 19PCh. 6.2 - Prob. 20PCh. 6.2 - Prob. 21PCh. 6.2 - Prob. 22PCh. 6.2 - Prob. 23PCh. 6.2 - Prob. 24PCh. 6.2 - Prob. 25PCh. 6.2 - Prob. 26PCh. 6.2 - Prob. 27PCh. 6.2 - Prob. 28PCh. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 32PCh. 6.2 - Prob. 33PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - Prob. 36PCh. 6.2 - Prob. 37PCh. 6.2 - Prob. 38PCh. 6.2 - Prob. 39PCh. 6.2 - Prob. 40PCh. 6.2 - Prob. 41PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Prob. 52PCh. 6.2 - Prob. 53PCh. 6.2 - Prob. 54PCh. 6.2 - Prob. 55PCh. 6.2 - Prob. 56PCh. 6.2 - Prob. 57PCh. 6.2 - Prob. 58PCh. 6.2 - Prob. 59PCh. 6.2 - Prob. 60PCh. 6.2 - Prob. 61PCh. 6.2 - Prob. 62PCh. 6.2 - Prob. 63PCh. 6.2 - Prob. 64PCh. 6.2 - Prob. 65PCh. 6.2 - Prob. 66PCh. 6.2 - Prob. 67PCh. 6.2 - Prob. 68PCh. 6.2 - Prob. 69PCh. 6.2 - Prob. 70PCh. 6.2 - Prob. 71PCh. 6.2 - Prob. 72PCh. 6.2 - Prob. 73PCh. 6.2 - Prob. 74PCh. 6.2 - Prob. 75PCh. 6.2 - Prob. 76PCh. 6.2 - Prob. 77PCh. 6.2 - Prob. 78PCh. 6.2 - Prob. 79PCh. 6.2 - Prob. 80PCh. 6.2 - Prob. 81PCh. 6.2 - Prob. 82PCh. 6.2 - Prob. 83PCh. 6.2 - Prob. 84PCh. 6.2 - Prob. 85PCh. 6.2 - Prob. 86PCh. 6.2 - Prob. 87PCh. 6.2 - Prob. 88PCh. 6.2 - Prob. 89PCh. 6.2 - Prob. 90PCh. 6.2 - Prob. 91PCh. 6.2 - Prob. 92PCh. 6.2 - Prob. 93PCh. 6.2 - Prob. 94PCh. 6.2 - Prob. 95PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3PCh. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10PCh. 6.3 - Prob. 11PCh. 6.3 - Prob. 12PCh. 6.3 - Prob. 13PCh. 6.3 - Prob. 14PCh. 6.3 - Prob. 15PCh. 6.3 - Prob. 16PCh. 6.3 - Prob. 17PCh. 6.3 - Prob. 18PCh. 6.3 - Prob. 19PCh. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Prob. 22PCh. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.3 - Prob. 27PCh. 6.3 - Prob. 28PCh. 6.3 - Prob. 29PCh. 6.3 - Prob. 30PCh. 6.3 - Prob. 31PCh. 6.3 - Prob. 32PCh. 6.3 - Prob. 33PCh. 6.3 - Prob. 34PCh. 6.3 - Prob. 35PCh. 6.3 - Prob. 36PCh. 6.3 - Prob. 37PCh. 6.3 - Prob. 38PCh. 6.3 - Prob. 39PCh. 6.3 - Prob. 40PCh. 6.3 - Prob. 41PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.5 - Prob. 1PCh. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.5 - Prob. 7PCh. 6.5 - Prob. 8PCh. 6.5 - Prob. 9PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11PCh. 6.5 - Prob. 12PCh. 6.5 - Prob. 13PCh. 6.5 - Prob. 14PCh. 6.5 - Prob. 15PCh. 6.5 - Prob. 16PCh. 6.5 - Prob. 17PCh. 6.5 - Prob. 18PCh. 6.5 - Prob. 19PCh. 6.5 - Prob. 20PCh. 6.5 - Prob. 21PCh. 6.5 - Prob. 22PCh. 6.5 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Prob. 3PCh. 6.6 - Prob. 4PCh. 6.6 - Prob. 5PCh. 6.6 - Prob. 6PCh. 6.6 - Prob. 7PCh. 6.6 - Prob. 8PCh. 6.6 - Prob. 9PCh. 6.6 - Prob. 10PCh. 6.6 - Prob. 11PCh. 6.6 - Prob. 12PCh. 6.6 - Prob. 13PCh. 6.6 - Prob. 14PCh. 6.6 - Prob. 15PCh. 6.6 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.6 - Prob. 22PCh. 6.6 - Prob. 23PCh. 6.6 - Prob. 24PCh. 6.6 - Prob. 25PCh. 6.6 - Prob. 26PCh. 6.6 - Prob. 27PCh. 6.6 - Prob. 28PCh. 6.6 - Prob. 29PCh. 6.6 - Prob. 30PCh. 6.6 - Prob. 31PCh. 6.6 - Prob. 32PCh. 6.6 - Prob. 33PCh. 6.6 - Prob. 34PCh. 6.6 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6.6 - Prob. 39PCh. 6.6 - Prob. 40PCh. 6.6 - Prob. 41PCh. 6.6 - Prob. 42PCh. 6.6 - Prob. 43PCh. 6.6 - Prob. 44PCh. 6.6 - Prob. 45PCh. 6.6 - Prob. 46PCh. 6.6 - Prob. 47PCh. 6.6 - Prob. 48PCh. 6.6 - Prob. 49PCh. 6.6 - Prob. 50PCh. 6.6 - Prob. 51PCh. 6.6 - Prob. 52PCh. 6.6 - Prob. 53PCh. 6.6 - Prob. 54PCh. 6.6 - Prob. 55PCh. 6.6 - Prob. 56PCh. 6.6 - Prob. 57PCh. 6.6 - Prob. 58PCh. 6.6 - Prob. 59PCh. 6.6 - Prob. 60PCh. 6.6 - Prob. 61PCh. 6.6 - Prob. 62PCh. 6.6 - Prob. 63PCh. 6.6 - Prob. 64PCh. 6.6 - Prob. 65PCh. 6.6 - Prob. 66PCh. 6.6 - Prob. 67PCh. 6.6 - Prob. 68PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.7 - Prob. 10PCh. 6.7 - Prob. 11PCh. 6.7 - Prob. 12PCh. 6.7 - Prob. 13PCh. 6.7 - Prob. 14PCh. 6.7 - Prob. 15PCh. 6.7 - Prob. 16PCh. 6.7 - Prob. 17PCh. 6.7 - Prob. 18PCh. 6.7 - Prob. 19PCh. 6.7 - Prob. 20PCh. 6.7 - Prob. 21PCh. 6.7 - Prob. 22PCh. 6.7 - Prob. 23PCh. 6.7 - Prob. 24PCh. 6.7 - Prob. 25PCh. 6.7 - Prob. 26PCh. 6.7 - Prob. 27PCh. 6.7 - Prob. 28PCh. 6.7 - Prob. 29PCh. 6 - Prob. 1SYUCh. 6 - Prob. 2SYUCh. 6 - Prob. 3SYUCh. 6 - Prob. 4SYUCh. 6 - Prob. 5SYUCh. 6 - Prob. 6SYUCh. 6 - Prob. 7SYUCh. 6 - Prob. 8SYUCh. 6 - Prob. 9SYUCh. 6 - Prob. 10SYUCh. 6 - Prob. 11SYUCh. 6 - Prob. 12SYUCh. 6 - Prob. 13SYUCh. 6 - Prob. 14SYUCh. 6 - Prob. 15SYUCh. 6 - Prob. 16SYUCh. 6 - Prob. 17SYUCh. 6 - Prob. 18SYUCh. 6 - Prob. 19SYUCh. 6 - Prob. 20SYUCh. 6 - Prob. 21SYUCh. 6 - Prob. 22SYUCh. 6 - Prob. 23SYUCh. 6 - Prob. 24SYUCh. 6 - Prob. 25SYUCh. 6 - Prob. 26SYUCh. 6 - Prob. 27SYUCh. 6 - Prob. 28SYUCh. 6 - Prob. 29SYUCh. 6 - Prob. 30SYUCh. 6 - Prob. 31SYUCh. 6 - Prob. 32SYUCh. 6 - Prob. 33SYUCh. 6 - Prob. 34SYUCh. 6 - Prob. 35SYUCh. 6 - Prob. 36SYUCh. 6 - Prob. 37SYUCh. 6 - Prob. 38SYUCh. 6 - Prob. 39SYUCh. 6 - Prob. 40SYUCh. 6 - Prob. 41SYUCh. 6 - Prob. 42SYUCh. 6 - Prob. 43SYUCh. 6 - Prob. 44SYUCh. 6 - Prob. 45SYUCh. 6 - Prob. 46SYUCh. 6 - Prob. 47SYUCh. 6 - Prob. 48SYUCh. 6 - Prob. 49SYUCh. 6 - Prob. 50SYUCh. 6 - Prob. 51SYUCh. 6 - Prob. 52SYUCh. 6 - Prob. 53SYUCh. 6 - Prob. 54SYUCh. 6 - Prob. 55SYUCh. 6 - Prob. 56SYUCh. 6 - Prob. 57SYUCh. 6 - Prob. 58SYUCh. 6 - Prob. 59SYUCh. 6 - Prob. 60SYUCh. 6 - Prob. 61SYUCh. 6 - Prob. 62SYUCh. 6 - Prob. 63SYUCh. 6 - Prob. 64SYUCh. 6 - Prob. 65SYUCh. 6 - Prob. 66SYUCh. 6 - Prob. 67SYUCh. 6 - Prob. 68SYUCh. 6 - Prob. 69SYUCh. 6 - Prob. 70SYUCh. 6 - Prob. 1FOPCh. 6 - Prob. 2FOPCh. 6 - Prob. 3FOPCh. 6 - Prob. 4FOPCh. 6 - Prob. 5FOPCh. 6 - Prob. 6FOPCh. 6 - Prob. 7FOPCh. 6 - Prob. 8FOPCh. 6 - Prob. 9FOPCh. 6 - Prob. 10FOPCh. 6 - Prob. 11FOPCh. 6 - Prob. 12FOPCh. 6 - Prob. 13FOPCh. 6 - Prob. 14FOPCh. 6 - Prob. 15FOPCh. 6 - Prob. 16FOPCh. 6 - Prob. 17FOPCh. 6 - Prob. 18FOPCh. 6 - Prob. 19FOPCh. 6 - Prob. 20FOPCh. 6 - Prob. 21FOPCh. 6 - Prob. 22FOPCh. 6 - Prob. 23FOPCh. 6 - Prob. 24FOPCh. 6 - Prob. 25FOPCh. 6 - Prob. 26FOPCh. 6 - Prob. 27FOPCh. 6 - Prob. 28FOPCh. 6 - Prob. 29FOPCh. 6 - Prob. 30FOPCh. 6 - Prob. 31FOPCh. 6 - Prob. 32FOPCh. 6 - Prob. 33FOPCh. 6 - Prob. 34FOPCh. 6 - Prob. 35FOPCh. 6 - Prob. 36FOPCh. 6 - Prob. 37FOPCh. 6 - Prob. 38FOPCh. 6 - Prob. 39FOPCh. 6 - Prob. 40FOPCh. 6 - Prob. 41FOPCh. 6 - Prob. 42FOPCh. 6 - Prob. 43FOPCh. 6 - Prob. 44FOPCh. 6 - Prob. 45FOPCh. 6 - Prob. 46FOPCh. 6 - Prob. 47FOP
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