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A population of 420 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in

A population of 420 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. P(t) = 420(3+ 5t 72+t2, Find P'(t). P'(t)= bacteria/hour Find the rate at which the population is growing when t = 3. (Round your answer to two decimal places.) P'(3) = = bacteria/hour

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