Evaluate the integral r+y e-- dxdy R where R is the trapezoidal region with vertices (1, 0), (2,0), (0, –2) and (0, –1). Consider using the following change of variables: u = x + y, v = x – y.

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A: Given, x=2z+y2-3, i.e. z=12x-y2+3. As it is known that the surface area is given as,…

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A: Given information: