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3 ptsPrecalculus · FRQ Trainer
Free-response 1 of 1 · Unit 2: Exponential and Logarithmic Functions
Prompt
The population of a species of fish in a lake is modeled by the logistic function P(t) = 1200 / (1 + 15e^(-0.2t)), where t is the number of years since the lake was stocked. (a) Determine the initial population of the fish. (b) Find the carrying capacity of the lake for this species. (c) At what time t is the population growing the fastest?
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