A region R in the xy-plane is given. Find equations for a transformation 7 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 0. Enter your answers as a comma-separated list of equations.) R lies between the circles x2 + y? = 1 and x2 + y? = 3 in the first quadrant