A change of coordinates x xs t y ys t where the rectangle


Question: 1. A change of coordinates x = x(s, t), y = y(s, t) where the rectangle 0 ≤ s ≤ 1, 0 ≤ t ≤ 1 in the st-plane corresponds to a different rectangle in the xy-plane.

2. A change of coordinates x = x(s, t), y = y(s, t) where every region in the st-plane corresponds to a region in the xy-plane with twice the area.

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Mathematics: A change of coordinates x xs t y ys t where the rectangle
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