Question: A flu epidemic hits a town. Let P(t) be the number of persons sick with the flu at time t, where time is measured in

A flu epidemic hits a town. Let P(t) be the number of persons sick with the flu at time t, where time is measured in days from the beginning of the epidemic and P(0) = 100. After t days, if the flu is spreading at the rate of P′(t) = 120t - 3t² people per day, find the formula for P(t).

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