Hello i need help solving this problem: You are given: (i) Force of interest (t) = 2t^3+8t/ t^4+8t^2+16 for 0 <(or equal to) t <(or equal to) 1 (ii) i is the effective interest rate of year one that corresponds to force of interest (.) (iii) Fund X accumulates with simple interest and annual rate i (iv) Fund Y accumulates according to force of interest (.) (v) An amount of 1 is deposited in each of Fund X and Fund Y at time t = 0. At what time t > 0 is AX (t)-AY (t) maximized? AX (.) and AY (.) are the amount functions for the funds X and Y , respectively.