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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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