Use the transformation u = 2x + y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = - 2x + 4, y = - x, and y = -x+1. 4 √√ (2x². R (2x² +9xy + 4y2) dx dy √√ (2x² + 9xy + 4y²) 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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!! (2x²
R
Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = 2x + 4, y = -
4
+9xy +4y²) dx dy
SS
R
(Type an integer or a simplified fraction.)
(2x²
1
+ 9xy + 4y²) dx dy =
-x, and y =
1
--x+1.
4
Transcribed Image Text:!! (2x² R Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = 2x + 4, y = - 4 +9xy +4y²) dx dy SS R (Type an integer or a simplified fraction.) (2x² 1 + 9xy + 4y²) dx dy = -x, and y = 1 --x+1. 4
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