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Consider the coordinate transformation given by I = 4v 2u, Y = 3u^3v. Compute the Jacobian of this transformation: J = ∂(I,Y)/∂(u,v).Let J be the second quadrant of the zy-plane, i.e. the region described by the inequalities z ≤ 0, y ≥ 0. Using the coordinate transform from part (a), evaluate ∫∫J e^(-t(1-2y)) dz dy. Here t is a positive constant.
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