Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R bounded by the lines y = 1 -x+ 1, y = --x+ 3, y = 3 --x, and 1 y = - |(4x? + 15xy + 9y²) dx dy ... T| (4x2 + 15xy + 9y²) dx dy = |

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the
4
region R bounded by the lines y = --x+ 1, y = --x+ 3, y = --x, and
3
4
1
3
3
1
--x+ 1.
3
y =
| (4x? + 15xy + 9y²) dx dy
R
...
I|(4x2 + 15xy + 9y²) dx dy =
Transcribed Image Text:Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 region R bounded by the lines y = --x+ 1, y = --x+ 3, y = --x, and 3 4 1 3 3 1 --x+ 1. 3 y = | (4x? + 15xy + 9y²) dx dy R ... I|(4x2 + 15xy + 9y²) dx dy =
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