Calculus, Single Variable: Early Transcendentals (3rd Edition)
3rd Edition
ISBN: 9780134766850
Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher: PEARSON
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Question
Chapter C, Problem 61E
To determine
To prove: The identities
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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 C Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Prob. 2ECh. C - Prob. 3ECh. C - Prob. 4ECh. C - Prob. 5ECh. C - Prob. 6ECh. C - Prob. 7ECh. C - Prob. 8ECh. C - Prob. 9ECh. C - Prob. 10E
Ch. C - Prob. 11ECh. C - Prob. 12ECh. C - Prob. 13ECh. C - Prob. 14ECh. C - Prob. 15ECh. C - Prob. 16ECh. C - Prob. 17ECh. C - Prob. 18ECh. C - Prob. 19ECh. C - Prob. 20ECh. C - Prob. 21ECh. C - Prob. 22ECh. C - Prob. 23ECh. C - Prob. 24ECh. C - Prob. 25ECh. C - Prob. 26ECh. C - Prob. 27ECh. C - Prob. 28ECh. C - Prob. 29ECh. C - Prob. 30ECh. C - Prob. 31ECh. C - Prob. 32ECh. C - Prob. 33ECh. C - Prob. 34ECh. C - Prob. 35ECh. C - Prob. 36ECh. C - Prob. 37ECh. C - Prob. 38ECh. C - Prob. 39ECh. C - Prob. 40ECh. C - Prob. 41ECh. C - Prob. 42ECh. C - Prob. 43ECh. C - Prob. 44ECh. C - Prob. 45ECh. C - Prob. 46ECh. C - Prob. 47ECh. C - Prob. 48ECh. C - Prob. 49ECh. C - Prob. 50ECh. C - Prob. 51ECh. C - Prob. 52ECh. C - Prob. 53ECh. C - Prob. 54ECh. C - Prob. 55ECh. C - Prob. 56ECh. C - Prob. 57ECh. C - Prob. 58ECh. C - Prob. 59ECh. C - Prob. 60ECh. C - Prob. 61E
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