A population of 420 bacteria is introduced into a culture and grows in number according...

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A population of 420 bacteria is introduced into a culture and grows in number according to the equation below, where timeasured in hours.Find P'(t).P'(t) =P(t) = 420 3+5t72 +bacteria/hourFind 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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