15.9 —-3A 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. (Let u play the role of r and v the role of . Enter your answers as a comma-separated list of equations.)R lies between the circles x2 + y2 = 1 and x2 + y2 = 7 in the first quadrant