Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = -žx+3, y = -x+4, y = -ix, and y = - x+2. + 16xy + 16y) dx dy R I|(3x2 + 16xy + 16y2) dx dy = D R (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use the transformation u = 3x + 4y, v=x + 4y to evaluate the given integral for the region R bounded by the lines y = -7x+3, y = -7x+ 4, y = - x, and y = - x+2.
|(3x2 + 16xy + 16y?) dx dy
R
||(3x2 + 16xy + 16y2) dx dy= |
R
(Simplify your answer.)
Transcribed Image Text:3 3 1 1 Use the transformation u = 3x + 4y, v=x + 4y to evaluate the given integral for the region R bounded by the lines y = -7x+3, y = -7x+ 4, y = - x, and y = - x+2. |(3x2 + 16xy + 16y?) dx dy R ||(3x2 + 16xy + 16y2) dx dy= | R (Simplify your answer.)
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