The force of interest is defined as follows, 2 8(t) = = t> 0 3(1+t)' By using the above force of interest, answer the following questions:- a. Formulate a(t). b. Determine i3. c. Evaluate the present value of sum of the payment of RM100 made at the end of first year and RM300 made at the end of third year. d. If RM200 and RM400 are respectively deposited initially and at the end of second year, determine the accumulated value of the deposited fund at the end of five years.