12. Use the transformation z (u + v), y = (v - 3u) to evaluate the integral ff (4x+8y) dA, where R is the parallelogram bounded by the lines 3r + y = 0, 3x+y=8, x−y=-4, and x - y = 4. Set-up, but do not evaluate, each triple integral.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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12. Use the transformation r (u + v), y = (v – 3u) to evaluate the
integral (42 +80) d4, where R is the parallelogram bounded by the
(4r+8y)
R
lines 3x + y = 0, 3r+y=8, x - y = −4, and x - y = 4.
Set-up, but do not evaluate, each triple integral.
Transcribed Image Text:12. Use the transformation r (u + v), y = (v – 3u) to evaluate the integral (42 +80) d4, where R is the parallelogram bounded by the (4r+8y) R lines 3x + y = 0, 3r+y=8, x - y = −4, and x - y = 4. Set-up, but do not evaluate, each triple integral.
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