Use the transformation u = 3x + y, v=x+3y to evaluate the given integral for the region R bounded by the lines y = - 3x + 1, y = - 3x + 4, y= - and y = - ||(3x2 + 10xy + 3y²) dx dy R |(3x? + 10xy + 3y?) dx dy = 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 + y, v =x+ 3y to evaluate the given integral for the region R bounded by the lines y = - 3x+ 1, y = - 3x+ 4, y =
1
-X, and y =
1
-x+3.
3
T| (3x2 + 10xy + 3y²) dx dy
R
(3x2 + 10xy + 3y2) dx dy =
(Simplify your answer.)
Transcribed Image Text:Use the transformation u = 3x + y, v =x+ 3y to evaluate the given integral for the region R bounded by the lines y = - 3x+ 1, y = - 3x+ 4, y = 1 -X, and y = 1 -x+3. 3 T| (3x2 + 10xy + 3y²) dx dy R (3x2 + 10xy + 3y2) dx dy = (Simplify your answer.)
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