Consider the region D in the first quadrant of [R2 that is shown below D3.pdf Find a transformation (u, v) = T(x, y) such that the image T(D) of D under T is a rectangle in the uv-plane. Justify your answer. \fExample 2 Find the image of D = {(33,y) | 1 g m 5 3,0 g y g 2} under the mapping (a, 'v) = Tm, y) = ("32 - 92, my) Solution: To determine the image of D under T, we find the image of each of the boundary lines. In this case, it is not so easy to solve for x and y in terms of u and v. We instead substitute the equation of each boundary line directly into the mapping. For the line x = -1, 0