a) Consider the coordinate transformation given by x = 3u+2 v vy 13 ³‚y = 2 u-3 v Compute the absolute value of the Jacobian of x, y with respect to u, v J = 13/169 Your last answer was interpreted as follows: 13 169 13 b) Let be the second quadrant of the xy-plane, i.e. the region described by the inequalities x ≤ 0, y ≥ 0. Using the coordinate transform from part a evaluate √ √ e−1 (2x-3y² dxdy = Here t is a positive constant.

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