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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 as shown in the figure below. (Enter your answers as a comma-separated list of equations.)
R is bounded by y = 2x ? 5, y = 2x + 5, y = 5 ? x, y = 7 ? x