Question: 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

A flu epidemic hits a college community, beginning with five cases on dayt= 0.The rate of growth of the epidemic (new cases per day) is given by the following functionr(t),

wheretis the number of days since the epidemic began.

r(t) =22e^0.05^t

(a) Find a formula for the total number of cases of flu in the firsttdays.

F(t) =

(b) Use your answer to part (a) to find the total number of cases in the first20days. (Round your answer to the nearest whole number.)

F(20) =cases

Solve both a and b

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