A culture of bacteria in a particular dish has an initial population of 400 cells grows at a rate of N'(t) = 60e0.53648t cells/day. a. Find the population N(t) at any time t≥ 0. b. What is the population after 8 days?

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
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A culture of bacteria in a particular dish has an initial population of 400 cells
0.53648t
grows at a rate of N'(t) = 60e
cells/day.
a. Find the population N(t) at any time t≥0.
b. What is the population after 8 days?
Transcribed Image Text:A culture of bacteria in a particular dish has an initial population of 400 cells 0.53648t grows at a rate of N'(t) = 60e cells/day. a. Find the population N(t) at any time t≥0. b. What is the population after 8 days?
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