A population of 440 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 440(1 2t 37+t Find P'(t). P'(t) = + bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacteria/hour

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A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

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A: application of integration

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