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a x y Find the image d u v Solve the system u 2x y v 3x 2y for x and y in terms of

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a x y Find the image d u v Solve the system u 2x y v 3x 2y for x and y in terms of u and v Then find the value of the Jacobian under the transformation of the triangular region with vertices 0 0 2 4 and 2 3 in the xy plane Sketch the transformed region the uv plane The function for x in terms of u and vis 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 OA OB OC 0 14 OU 7 0 0 14 ELTER Q Q 0 14 7 0 D 0 14 7 0 ON

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