Suppose that an account has force of interest δt = .01t2 (where t is in years). If A(t) is the amount in the fund after

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Suppose that an account has force ofinterest δt = .01t2 (where t is inyears). If A(t) is the amount in the fundafter t years and A(3) = $20, 000, 000then find how much is in the account two days later (after the endof the third year) two ways: first, by using the factthat δ3 is approximately the relative rate of changeat t = 3 over a small time interval, and second, byexactly computing A(3 + 2/365).