Let G(u, v) = (3u + v, u - 2v). Use the Jacobian to determine the area of G(R) for: (a) R = [0, 3] x [0, 5] (b) R = [2, 5] x [1, 7]

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Let G(u, v) = (3u + v, u - 2v). Use the Jacobian to determine the area of G(R) for: (a) R = [0, 3] x [0, 5] (b) R = [2, 5] x [1, 7]

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Step 1

To find the Jacobian, 

G(u,v)=(3u+v, u-2v)where, x=3u+vy=u-2vJ(G)=xuxvyuyv=xyuv-xyvu=3(-2)-1(1)=-7

 

 

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