d(x,y) Solve the system u =x- y, v= 2x + 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 d(u,v) triangular region with vertices (0,0), (3,3), and (3, - 2) in the xy-plane. Sketch the transformed region in the uv-plane. The function for x in terms of u and v is x = The function for y in terms of u and v is y = The Jacobian of the transformation is J(u,v) = Choose the correct sketch of the transformed region in the uv-plane below. O A. OB. OC. OD. AV (-5,0 u (0,15) (0,15) (5,0) Q (0, – 15) (0, – 15) (-5,0) (5,0)

Q: 2 =|_ídl: Calculate eta. --1

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A: This is a problem related to inner product space. Please see the next step for details.

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