Suppose that an account has force of interest t = .01t2 (where t is in years). If A(t) is the amount in the fund after t years and A(3) = $20, 000, 000 then find how much is in the account two days later (after the end of the third year) two ways: first, by using the fact that 3 is approximately the relative rate of change at t = 3 over a small time interval, and second, by exactly computing A(3 + 2/365).