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The number of bacteria in a culture can be modeled by the function 4t N(t) = 3000 (1 + t2 + 100 ), where t

The number of bacteria in a culture can be modeled by the function 4t N(t) = 3000 (1 + t2 + 100 ), where t is measured in hours. a) Find the rate of change of the number of bacteria. N '(t) =

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