The population P of a bacterial colony t days after observation begins is modeled by the cubic function P(t) 1 035t 3 103 5t 2 6,900t 230,000 a Compute and interpret the derivative P '(t) b At what rate is the population changing after 1 day After 10 days c What is the initial population of the col...

Pt 1035t 3 1035t 2 6900t 230000 a Pt 3105t 2 207t 6900 Pt repres ...

The population P of a bacterial colony t days after observation begins is modeled by the cubic

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The population P of a bacterial colony t days after observation begins is modeled by the cubic function P(t) = 1.035t³ + 103.5t² + 6,900t + 230,000

a. Compute and interpret the derivative P'(t).

b. At what rate is the population changing after 1 day? After 10 days?

c. What is the initial population of the colony? How long does it take for the population to double? At what rate is the population growing at the time it doubles?

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Calculus For Business, Economics And The Social And Life Sciences

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Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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The population P of a bacterial colony t days after observation begins is modeled by the cubic

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Calculus For Business, Economics And The Social And Life Sciences

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