Question: Let S = {(u, v): 0 u 1, 0 v 1} be a unit square in the uv-plane. Find the image

Let S = {(u, v): 0 ≤ u ≤ 1, 0 ≤ v ≤ 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformations.


T: x = v sin (Tu), y = v cos (Tu)

T: x = v sin (Tu), y = v cos (Tu)

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