Problem 3: Consider a "pacman" region M parametrized by (u, v) = (u cos v, u sin v, 0), 0<u<R, 0<v<V for some R > 0 and V < 2. Let c = and M* be given by the parametrization *(u, v) = (cu cos(v/c), cu sin(v/c), √1-c²u), 0<u<R, 0<v<V. Show that * o -1 is an isometry. Also, describe the mapping * o -1 pictorially.