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Let T be the triangle in the xy-plane with vertices (0,0), (0,-2), and (1, -1). Let u =2x and v = x-y. Graph the region S in the uv-plane corresponding to T and use change of variables to evaluate ?????? e^(2x/x-y) dxdy. (note: T should be under the two integrals) please show work
Let R be the region in the xy plane bounded by the curves
xy=1 xy=4 xy^2=1 xy^2=4 in the first quadrant consider the transformation u=xy and v=xy^2 part a) sketch a graph of the region T, in the u,v plane. part b) solve for the transformation equations for x, and y in terms of u, and v. Part C) compute the jacobian. Part D) use the change of variables theorem to evaluate the double integral SS y dxdy.