Precalculus: A Unit Circle Approach
2nd Edition
ISBN: 9780321825391
Author: Ratti
Publisher: PEARSON
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Chapter A.3, Problem 7E
To determine
To reduce the given rational expression to lowest terms and to identify all the numbers that must be excluded from the domain of the given rational expression.
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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 A.3 Solutions
Precalculus: A Unit Circle Approach
Ch. A.3 - In exercises 10, reduce each rational expression...Ch. A.3 - Prob. 2ECh. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - In exercises1-10, reduce each rational expression...Ch. A.3 - Prob. 10E
Ch. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 24ECh. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Prob. 42ECh. A.3 - Prob. 43ECh. A.3 - Prob. 44ECh. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - In Exercises 37-52, perform the indicated...Ch. A.3 - Prob. 48ECh. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52ECh. A.3 - Prob. 53ECh. A.3 - Prob. 54ECh. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - Prob. 57ECh. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 - Prob. 66ECh. A.3 - Prob. 67ECh. A.3 - Toy box height. The height (in feet) of an open...Ch. A.3 - Diluting a mixture. A 100-gallon mixture of citrus...Ch. A.3 - Prob. 70ECh. A.3 - Prob. 71ECh. A.3 - Prob. 72E
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