You are given: (a) t = 2t 3+8t t 4+8t 2+16, 0 t 1. (b) i is the effective annual interest rate equivalent to t . (c) Fund X accumulates with simple interest at the rate i. (d) Fund Y accumulates t . (e) An amount of $1 is deposited in each of Fund X and Fund Y at time 0. At what time, t, is (Fund X Fund Y) is a maximum?