Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded by the lines 3 1 1 y=-x+1₂y=x+3, y=-x, and y=-x+2 4 (3x² + 16xy +16y²) dx dy R 3 (3x² +16xy +16y²) dx dy = R (Type an integer or a simplified fraction.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 24WE
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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
3
3
1
1
y=-x+1, y=x+3, y=-x, and y=-x+2
4
(3x² + 16xy +16y²) dx dy
R
(3x² +16xy +16y²) dx dy =
R
(Type an integer or a simplified fraction.)
Transcribed Image Text:Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded by the lines 3 3 1 1 y=-x+1, y=x+3, y=-x, and y=-x+2 4 (3x² + 16xy +16y²) dx dy R (3x² +16xy +16y²) dx dy = R (Type an integer or a simplified fraction.)
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