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a Solve the system u 3x 4y v x 5y for x and y in terms of u and v Then find a x y
a Solve the system u 3x 4y v x 5y for x and y in terms of u and v Then find a x y the value of the Jacobian a u v b Find the image under the transformation u 3x 4y v x 5y of the triangular region in the xy plane bounded by the x axis the y axis and the line x y 1 Sketch the transformed image in the uv plane x y 0 a x
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