Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please show and explain steps, and also graph the before and after of the transformation like in the picture

1
1
12. Use the transformation T: u =-x and v=÷y to evaluate the integral || xʻdA where R is the region
3
2
R
bounded on the xy-plane by the ellipse 9x² +4y² = 36. . Let S be the image of R under T on the uv-plane.
Sketch regions R and S. Set up the integral 7as an iterated integral of a function f(u,v) over region S. Use
technology to evaluate the integral. Give the exact answer.
R
V
y
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Transcribed Image Text:1 1 12. Use the transformation T: u =-x and v=÷y to evaluate the integral || xʻdA where R is the region 3 2 R bounded on the xy-plane by the ellipse 9x² +4y² = 36. . Let S be the image of R under T on the uv-plane. Sketch regions R and S. Set up the integral 7as an iterated integral of a function f(u,v) over region S. Use technology to evaluate the integral. Give the exact answer. R V y
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