Aregion 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 θ. 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