Hey guys, can someone please help with this question. We now live in a time when the energy balance of the universe is dominated by Λ. A long time from now, at t2× the universe will have doubled in size, i.e.: a(t2×) = 2. At present, radiation is negligible: Ωr,0 ~ 0, and will remain so, while Ωm,0 = 0.3 and ΩΛ,0 = 0.7 now. Note that since ΩΛ,0 + m,0 = 1 now, their sum will remain the same. a) Estimate the value of Ωm at t2×. Consider how the ratio Ωm/ΩΛ changes with time, and use the flatness constraint mentioned above. b) Estimate the time from now until t2×. c) What will the Hubble distance be at t2×?