Calculus and Its Applications (11th Edition)
11th Edition
ISBN: 9780321979391
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent
Publisher: PEARSON
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Chapter PSDT, Problem 2BP
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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 PSDT Solutions
Calculus and Its Applications (11th Edition)
Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Prob. 4APCh. PSDT - Express each of the following without an exponent....Ch. PSDT - Prob. 6APCh. PSDT - Prob. 7APCh. PSDT - Prob. 8APCh. PSDT - Prob. 9APCh. PSDT - Multiply. Express each answer without a negative...
Ch. PSDT - Multiply. Express each answer without a negative...Ch. PSDT - Divide. Express each answer without a negative...Ch. PSDT - Prob. 13APCh. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Multiply. 3(x5)Ch. PSDT - Multiply. (x5)(x+3)Ch. PSDT - Multiply.
18.
Ch. PSDT - Prob. 19APCh. PSDT - Multiply.
20.
Ch. PSDT - Prob. 21APCh. PSDT - Factor. x26xy+9y2Ch. PSDT - Factor.
23.
Ch. PSDT - Factor. 6x2+7x5Ch. PSDT - Factor.
25.
Ch. PSDT - Solve.
26.
Ch. PSDT - Solve.
27.
Ch. PSDT - Solve.
28.
Ch. PSDT - Solve.
29.
Ch. PSDT - Solve.
30.
Ch. PSDT - Solve.
31. After a 5% gain in weight, a grizzly...Ch. PSDT - Solve. Raggs, Ltd., a clothing firm, determines...Ch. PSDT - Graph. y=2x+1Ch. PSDT - Prob. 2BPCh. PSDT - Prob. 3BPCh. PSDT - Prob. 4BPCh. PSDT - A function f is given by f(x)=3x22x+8. Find each...Ch. PSDT - A function f is given by f(x)=(x+3)24. Find all x...Ch. PSDT - Prob. 7BPCh. PSDT - Write interval notation for {x| 4x5}.Ch. PSDT - 9. Find the domain
Ch. PSDT - 10. Find the slope and y-intercept of
Ch. PSDT - 11. Find an equation of the line that has slope 3...Ch. PSDT - 12. Find the slope of the line containing the...Ch. PSDT - Prob. 13BPCh. PSDT - Graph.
14.
Ch. PSDT - Graph. f(x)=1xCh. PSDT - Graph.
16.
Ch. PSDT - Graph. f(x)=xCh. PSDT - 18. Suppose that $1000 is invested at 5%,...
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