Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.)

Question

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. Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.)

P(t)=420(1+(2t/32+t^2)

Answer 1

P'(t) = 420(1/16 + 2t)

P'(5) = 420(1/16 +10) = 26.25 + 4200

P'(5) = exactly 4,226.25 bacteria per hour

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