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An epidemic is growing in a region according to the rate N (t) = 100t/t^2 + 2 where N (t) is the number of people

An epidemic is growing in a region according to the rate N (t) = 100t/t^2 + 2 where N (t) is the number of people infected after t days. (a) If there were initially 37 people infected, find a formula for N (t). (b) Use your answer to (a) to determine the number of people infected after 21 days.

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