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11 Jun 2020

Population Growth A lake is stocked with 500 fish, and the population p is growing according to the logistic curve

where t is measured in months.

(a) Use a graphing utility to graph the function.

(b) Find the fish populations after 6 months, 12 months, 24 months, 36 months, and 48 months. What is the limiting size of the fish population?

(c) Find the rates at which the fish population is changing after 1 month and after 10 months.

(d) After how many months is the population increasing most rapidly?

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Joram Guingguing
Joram GuingguingLv10
30 Sep 2020

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