The region R is sketched below in coordinates coordinates where u = 2xy and v= 2y - x. + -3 -2 3 2 1 -1 -2 -3 2 -m Set up the integral in the coordinates u and v. JS₁ 2x - y dA= R s and y. Sketch the transformed region in u and v Don't forget to incorporate the Jacobian! Evaluating the integral gives: A -3 -2 3 2 1 -1 -2 -3 Clear All Draw: Polygon du dv -~ 2 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The region R is sketched below in coordinates and y. Sketch the transformed region in u and v
coordinates where u = 2xy and v= 2y - x.
_*
-3 -2
4
3
2
1
-1
-2
-3
1
2 3 4 -4 -3 -2
Set up the integral in the coordinates u and v.
SS₁ 2x - y dA=
s
Don't forget to incorporate the Jacobian!
Evaluating the integral gives:
-1
A
3
2
-1
-2
-3
Clear All Draw: Polygon
du dv
2
3 4
Transcribed Image Text:The region R is sketched below in coordinates and y. Sketch the transformed region in u and v coordinates where u = 2xy and v= 2y - x. _* -3 -2 4 3 2 1 -1 -2 -3 1 2 3 4 -4 -3 -2 Set up the integral in the coordinates u and v. SS₁ 2x - y dA= s Don't forget to incorporate the Jacobian! Evaluating the integral gives: -1 A 3 2 -1 -2 -3 Clear All Draw: Polygon du dv 2 3 4
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