A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth of the epidemic (new cases per day) is given by the following function  r(t),  where t is the number of days since the epidemic began. r(t) = 22 e0.05t (a) Find a formula for the total number of cases of flu in the first t days. F(t) =        (b) Use your answer to part (a) to find the total number of cases in the first 20 days. (Round your answer to the nearest whole number.)

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