For the coordinate transformation, u = x²y, V= y 22 for non-negative x and y, find x and y in terms of u and v and hence calculate the Jacobian of the transformation from (x, y) to (u, v) coordinates. Sketch the domain D in the (x, y)-plane satisfying x² ≤ y ≤ x²e with y ≤ 3/x² and x ≥ 0, where e ≈ 2.718 is the base of natural logarithms. Hence, by transforming to (u, v) coordinates, evaluate the integral ff 2³y x³y dx dy. D

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