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Consider the region D in the first quadrant of R2 that is shown below Find a transformation (u, v) = T(x, y) such that the

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Consider the region D in the first quadrant of R2 that is shown below 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. 10 y = 4In(x + 1) 9 x = 2 In(y + 1) 8 -J 6 D x = 4In(y + 1) 5 4 y = 2 In(x + 1) O O N 4 8 10 12

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