An epidemic is growing in a region according to the rate where N(t) is the number of

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An epidemic is growing in a region according to the rate

where N(t) is the number of people infected after t days.
(a) Find a formula for the number of people infected after t days, given that 37 people were infected at t = 0.
(b) Use your answer from part (a) to find the number of people infected after 21 days.

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