APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 5.3, Problem 2P
To determine
Find the area under
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(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}.
Calculate the integral
f(x, y, z) dv.
E
(12 points) Let
E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}.
(a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such
that
(x, y, z) (psin cos 0, psin sin 0, p cos) € E.
(b) (8 points) Calculate the integral
E
xyz dV using spherical coordinates.
(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}.
Calculate the integral
y,
f(x, y, z) dV.
Chapter 5 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.1 - Prob. 6PCh. 5.1 - Prob. 7PCh. 5.1 - Prob. 8PCh. 5.1 - Prob. 9PCh. 5.1 - Prob. 10P
Ch. 5.1 - Prob. 11PCh. 5.1 - Prob. 12PCh. 5.1 - Prob. 13PCh. 5.1 - Prob. 14PCh. 5.1 - Prob. 15PCh. 5.1 - Prob. 16PCh. 5.1 - Prob. 17PCh. 5.1 - Prob. 18PCh. 5.1 - Prob. 19PCh. 5.1 - Prob. 20PCh. 5.1 - Prob. 21PCh. 5.1 - Prob. 22PCh. 5.1 - Prob. 23PCh. 5.1 - Prob. 24PCh. 5.1 - Prob. 25PCh. 5.1 - Prob. 26PCh. 5.1 - Prob. 27PCh. 5.1 - Prob. 28PCh. 5.1 - Prob. 29PCh. 5.1 - Prob. 30PCh. 5.1 - Prob. 31PCh. 5.1 - Prob. 32PCh. 5.1 - Prob. 33PCh. 5.1 - Prob. 34PCh. 5.1 - Prob. 35PCh. 5.1 - Prob. 36PCh. 5.1 - Prob. 37PCh. 5.1 - Prob. 38PCh. 5.1 - Prob. 39PCh. 5.1 - Prob. 40PCh. 5.1 - Prob. 41PCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.2 - Prob. 10PCh. 5.2 - Prob. 11PCh. 5.2 - Prob. 12PCh. 5.2 - Prob. 13PCh. 5.2 - Prob. 14PCh. 5.2 - Prob. 15PCh. 5.2 - Prob. 16PCh. 5.2 - Prob. 17PCh. 5.2 - Prob. 18PCh. 5.2 - Prob. 19PCh. 5.2 - Prob. 20PCh. 5.2 - Prob. 21PCh. 5.2 - Prob. 22PCh. 5.2 - Prob. 23PCh. 5.2 - Prob. 24PCh. 5.2 - Prob. 25PCh. 5.2 - Prob. 26PCh. 5.2 - Prob. 27PCh. 5.2 - Prob. 28PCh. 5.2 - Prob. 29PCh. 5.2 - Prob. 30PCh. 5.2 - Prob. 31PCh. 5.2 - Prob. 32PCh. 5.2 - Prob. 33PCh. 5.2 - Prob. 34PCh. 5.2 - Prob. 35PCh. 5.2 - Prob. 36PCh. 5.2 - Prob. 37PCh. 5.2 - Prob. 38PCh. 5.2 - Prob. 39PCh. 5.2 - Prob. 40PCh. 5.2 - Prob. 41PCh. 5.2 - Prob. 42PCh. 5.2 - Prob. 43PCh. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 10PCh. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.3 - Prob. 19PCh. 5.3 - Prob. 20PCh. 5.3 - Prob. 21PCh. 5.3 - Prob. 22PCh. 5.3 - Prob. 23PCh. 5.3 - Prob. 24PCh. 5.3 - Prob. 25PCh. 5.3 - Prob. 26PCh. 5.3 - Prob. 27PCh. 5.3 - Prob. 28PCh. 5.3 - Prob. 29PCh. 5.3 - Prob. 30PCh. 5.3 - Prob. 31PCh. 5.3 - Prob. 32PCh. 5.3 - Prob. 33PCh. 5.3 - Prob. 34PCh. 5.3 - Prob. 35PCh. 5.3 - Prob. 36PCh. 5.3 - Prob. 37PCh. 5.3 - Prob. 38PCh. 5.3 - Prob. 39PCh. 5.3 - Prob. 40PCh. 5.4 - Prob. 1PCh. 5.4 - Prob. 2PCh. 5.4 - Prob. 3PCh. 5.4 - Prob. 4PCh. 5.4 - Prob. 5PCh. 5.4 - Prob. 6PCh. 5.4 - Prob. 7PCh. 5.4 - Prob. 8PCh. 5.4 - Prob. 9PCh. 5.4 - Prob. 10PCh. 5.4 - Prob. 11PCh. 5.4 - Prob. 12PCh. 5.4 - Prob. 13PCh. 5.4 - Prob. 14PCh. 5.4 - Prob. 15PCh. 5.4 - Prob. 16PCh. 5.4 - Prob. 17PCh. 5.4 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Prob. 32PCh. 5.4 - Prob. 33PCh. 5.4 - Prob. 34PCh. 5.4 - Prob. 35PCh. 5.4 - Prob. 36PCh. 5.4 - Prob. 37PCh. 5.4 - Prob. 38PCh. 5.4 - Prob. 39PCh. 5.4 - Prob. 40PCh. 5.4 - Prob. 41PCh. 5.4 - Prob. 42PCh. 5.4 - Prob. 43PCh. 5.4 - Prob. 44PCh. 5.5 - Prob. 1PCh. 5.5 - Prob. 2PCh. 5.5 - Prob. 3PCh. 5.5 - Prob. 4PCh. 5.5 - Prob. 5PCh. 5.5 - Prob. 6PCh. 5.5 - Prob. 7PCh. 5.5 - Prob. 8PCh. 5.5 - Prob. 9PCh. 5.5 - Prob. 10PCh. 5.5 - Prob. 11PCh. 5.5 - Prob. 12PCh. 5.5 - Prob. 13PCh. 5.5 - Prob. 14PCh. 5.5 - Prob. 15PCh. 5.5 - Prob. 16PCh. 5.5 - Prob. 17PCh. 5.5 - Prob. 18PCh. 5.5 - Prob. 19PCh. 5.5 - Prob. 20PCh. 5.5 - Prob. 21PCh. 5.5 - Prob. 22PCh. 5.5 - Prob. 23PCh. 5.5 - Prob. 24PCh. 5.5 - Prob. 25PCh. 5.5 - Prob. 26PCh. 5.5 - Prob. 27PCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 5PCh. 5.6 - Prob. 6PCh. 5.6 - Prob. 7PCh. 5.6 - Prob. 8PCh. 5.6 - Prob. 9PCh. 5.6 - Prob. 10PCh. 5.6 - Prob. 11PCh. 5.6 - Prob. 12PCh. 5.6 - Prob. 13PCh. 5.6 - Prob. 14PCh. 5.6 - Prob. 15PCh. 5.6 - Prob. 16PCh. 5.6 - Prob. 17PCh. 5.6 - Prob. 18PCh. 5.6 - Prob. 19PCh. 5.6 - Prob. 20PCh. 5.6 - Prob. 21PCh. 5.6 - Prob. 22PCh. 5.6 - Prob. 23PCh. 5.6 - Prob. 24PCh. 5 - Prob. 1SYUCh. 5 - Prob. 2SYUCh. 5 - Prob. 3SYUCh. 5 - Prob. 4SYUCh. 5 - Prob. 5SYUCh. 5 - Prob. 6SYUCh. 5 - Prob. 7SYUCh. 5 - Prob. 8SYUCh. 5 - Prob. 9SYUCh. 5 - Prob. 10SYUCh. 5 - Prob. 11SYUCh. 5 - Prob. 12SYUCh. 5 - Prob. 13SYUCh. 5 - Prob. 14SYUCh. 5 - Prob. 15SYUCh. 5 - Prob. 16SYUCh. 5 - Prob. 17SYUCh. 5 - Prob. 18SYUCh. 5 - Prob. 19SYUCh. 5 - Prob. 20SYUCh. 5 - Prob. 21SYUCh. 5 - Prob. 22SYUCh. 5 - Prob. 23SYUCh. 5 - Prob. 24SYUCh. 5 - Prob. 25SYUCh. 5 - Prob. 26SYUCh. 5 - Prob. 27SYUCh. 5 - Prob. 28SYUCh. 5 - Prob. 29SYUCh. 5 - Prob. 30SYUCh. 5 - Prob. 31SYUCh. 5 - Prob. 32SYUCh. 5 - Prob. 33SYUCh. 5 - Prob. 34SYUCh. 5 - Prob. 35SYUCh. 5 - Prob. 36SYUCh. 5 - Prob. 37SYUCh. 5 - Prob. 38SYUCh. 5 - Prob. 39SYUCh. 5 - Prob. 40SYUCh. 5 - Prob. 41SYUCh. 5 - Prob. 42SYUCh. 5 - Prob. 43SYUCh. 5 - Prob. 44SYUCh. 5 - Prob. 45SYUCh. 5 - Prob. 46SYUCh. 5 - Prob. 47SYUCh. 5 - Prob. 48SYUCh. 5 - Prob. 49SYUCh. 5 - Prob. 50SYUCh. 5 - Prob. 51SYUCh. 5 - Prob. 52SYUCh. 5 - Prob. 53SYUCh. 5 - Prob. 54SYUCh. 5 - Prob. 55SYUCh. 5 - Prob. 56SYUCh. 5 - Prob. 57SYUCh. 5 - Prob. 58SYUCh. 5 - Prob. 59SYUCh. 5 - Prob. 60SYUCh. 5 - Prob. 1FOTCh. 5 - Prob. 2FOTCh. 5 - Prob. 3FOTCh. 5 - Prob. 4FOTCh. 5 - Prob. 5FOTCh. 5 - Prob. 6FOTCh. 5 - Prob. 7FOTCh. 5 - Prob. 8FOTCh. 5 - Prob. 9FOTCh. 5 - Prob. 10FOTCh. 5 - Prob. 11FOT
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