You are given an account in which the force of interest is described by the formula t =(1+t) ^(1/2) for t 0. The amount in the account at time 0 is (0)=1, and in general the amount at time t, for t 0, is denoted by (t). For t > 0, deposits are made into the account continuuosly, at the rate (t)= (t)(1+t)^(3/2). Find (8).