Use the transformation u = 4x + 3y, v=x+3y to evaluate the given integral for the region R bounded by the lines y = - -**.y=-x+4y=-x andy=-x+1. SS (4x²+ R + 15xy+9y²) dx dy (4x² +15xy +9y²) dx dy= R (Simplify your answer.) x,
Use the transformation u = 4x + 3y, v=x+3y to evaluate the given integral for the region R bounded by the lines y = - -**.y=-x+4y=-x andy=-x+1. SS (4x²+ R + 15xy+9y²) dx dy (4x² +15xy +9y²) dx dy= R (Simplify your answer.) x,
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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Question
![4
Use the transformation u = 4x + 3y, v=x+3y to evaluate the given integral for the region R bounded by the lines y = -x +3₁ y=
SS (4x² +15xy +9y²) dx dy
R
SS (4x² + 15xy +9y²) dx dy =
R
(Simplify your answer.)
4
1
1
+3y=-x+y=-xmay
x, and y = -x +1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35bc7cfb-e38c-45d6-8cb2-8c987ddfb016%2Fbd23351b-16e9-4d9e-925f-50e4b4c152f5%2F42d9rb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4
Use the transformation u = 4x + 3y, v=x+3y to evaluate the given integral for the region R bounded by the lines y = -x +3₁ y=
SS (4x² +15xy +9y²) dx dy
R
SS (4x² + 15xy +9y²) dx dy =
R
(Simplify your answer.)
4
1
1
+3y=-x+y=-xmay
x, and y = -x +1.
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