A region R in the xy-plane is given. Find equations for a transformation T that maps a

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A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto R, where the sides of S are parallel to the u- and v-axes.

R is bounded by the hyperbolas y = 1/x, y = 4/x and the lines y = x, y = 4x in the first quadrant

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