1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-¤ > y and y ≤e/2 < 2y. (a) Sketch and identify region D in the (x, y)-plane. (b) Calculate the Jacobian of the transformation X y = log(u²/3,1/3) u¹/3-1/3 = where log indicates a natural logarithm (to base e). (c) Hence evaluate the integral fra y² dx dy.

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