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a x y Solve the system u 2x y v 2x 2y for x and...

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Calculus

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a x y Solve the system u 2x y v 2x 2y 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 2 4 and 2 2 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 The function for y in terms of u and v is y The Jacobian of the transformation is J u v 6 0 2u v 6 Av V U 3 Choose the correct sketch of the transformed region in the uv plane below A 0 12 1 6 Q 5 B 0 12 6 0 Q Q GALLE OC 0 12 6 0 Q 9 G OD AV 6 0 0 12 od u

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