Consider the quasar HS 1946 + 7658 (see Advanced Question 37), which has z 3.02. (a) Suppose that in

Consider the quasar HS 1946 + 7658 (see Advanced Question 37), which has z 3.02. (a) Suppose that in the present-day universe, two clusters of galaxies are 500 Mpc apart. At the time that the light was emitted from HS 1946 7658 to produce an image on Earth tonight, how far apart were those two clusters? (b) What was the average density of matter ( m) at that time? Assume that in today’s universe, Pm = 2.4 × 10 -27 kg/m3. (c) What were the temperatures of the cosmic background radiation and the mass density of radiation ( rad) at that time? (d) At this time in the remote past, was the universe matter-dominated, radiation-dominated, or darkenergy-dominated? Explain.