Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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15.8 , 1

a(x,y)
Solve the system u = x-y, v= 3x + 3y for x and y in terms of u and v. Then find the value of the Jacobian . Find the image under the transformation of the triangular region with vertices (0,0), (3,3), and (3, -3) in the xy-plane. Sketch the transformed region in the uv-plane.
a(u,v)
The function for x in terms of u and vis x =
G
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Transcribed Image Text:a(x,y) Solve the system u = x-y, v= 3x + 3y for x and y in terms of u and v. Then find the value of the Jacobian . Find the image under the transformation of the triangular region with vertices (0,0), (3,3), and (3, -3) in the xy-plane. Sketch the transformed region in the uv-plane. a(u,v) The function for x in terms of u and vis x = G
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