A lake is stocked with 500 fish, and the population increases according to the logistic
Chapter 5, Problem 110(choose chapter or problem)
Population Growth A lake is stocked with 500 fish, and the population increases according to the logistic curve
\(p(t)=\frac{10,000}{1+19 e^{-t / 5}}\)
where t is measured in months.
(a) Use a graphing utility to graph the function.
(b) What is the limiting size of the fish population?
(c) At what rates is the fish population changing at the end of 1 month and at the end of 10 months?
(d) After how many months is the population increasing most rapidly?
Text Transcription:
p(t) = 10,000/1 + 19e^-t/5
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