The Hawking temperature of a black hole is T hc3 8Gk BM where M is the black hole's mass, is Planck's constant, and G is Newton's constant. (a) Calculate the Hawking temperature of the supermassive black hole at the center of M87, whose mass is M = 6.5 x 109 Mo. Note that Mo is the mass of the Sun. (b) Is it realistic to be able to measure this temperature? Note that the average temperature of the universe is about 2.7 K (the temperature of the Cosmic Microwave Background). (c) How small (mass-wise and radius-wise) would a black hole have to be for its temperature to be the Planck temperature, Tp = E. Here, Epl = 1019 GeV is kB the Planck energy. Remember that the horizon radius is R = 2GM