Use a change of variables to evaluate the triple integral [, xdV, where the domain D is bounded by the planes z - 3y = 0, z- 3y = 1, z - 4x = 0, z – 4x = 3, y - 2x = 0, and y - 2x = 1. %3D Hint: Show your work: a) Change variables. b) Set up the new integral. c) Find the Jacobian. d) Calculate the integral.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use a change of variables to evaluate the triple integral [[f, xdV, where the domain D is bounded by
the planes z - 3y = 0, z – 3y = 1, z - 4x = 0, z - 4x = 3, y - 2x = 0, and y- 2x = 1.
Hint: Show your work:
a) Change variables.
b) Set up the new integral.
c) Find the Jacobian.
d) Calculate the integral.
%3D
%3D
|
Transcribed Image Text:Use a change of variables to evaluate the triple integral [[f, xdV, where the domain D is bounded by the planes z - 3y = 0, z – 3y = 1, z - 4x = 0, z - 4x = 3, y - 2x = 0, and y- 2x = 1. Hint: Show your work: a) Change variables. b) Set up the new integral. c) Find the Jacobian. d) Calculate the integral. %3D %3D |
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