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11) For the region R shown below, consider the integral f (x - y) dA R v a) Work the integral directly by integrating over R. b) Work the integral by making a change of coordinates (x, y) = T((u, v) and then inte- grating over S. S 1 u (x,y)=T(u,v), y 1 y = x² 1 R 2 y=(x - 2)² 3 X

11) For the region R shown below, consider the integral f (x - y) dA R v a) Work the integral directly by integrating over R. b) Work the integral by making a change of coordinates (x, y) = T((u, v) and then inte- grating over S. S 1 u (x,y)=T(u,v), y 1 y = x² 1 R 2 y=(x - 2)² 3 X

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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answer should be 7/3.  

11) For the region R shown below, consider the integral II (₁ R V 1 a) Work the integral directly by integrating over R. = b) Work the integral by making a change of coordinates (x, y) grating over S. S 1 (x - y) dA U (x,y)=T(u,v), 1 Y = 2²² 1 R T((u, v) and then inte- 2 y = = (x - 2)² 3 X
Transcribed Image Text:11) For the region R shown below, consider the integral II (₁ R V 1 a) Work the integral directly by integrating over R. = b) Work the integral by making a change of coordinates (x, y) grating over S. S 1 (x - y) dA U (x,y)=T(u,v), 1 Y = 2²² 1 R T((u, v) and then inte- 2 y = = (x - 2)² 3 X
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