Pt 4800 1 14e0.15t

Chapter 6, Problem 46

(choose chapter or problem)

In Exercises 45 and 46, the logistic equation models the growth of a population. Use the equation to (a) find the value of k, (b) find the carrying capacity, (c) find the initial population, (d) determine when the population will reach 50% of its carrying capacity, and (e) write a logistic differential equation that has the solution P(t).

\(P(t)=\frac{4800}{1+14 e^{-0.15 t}}\)

Text Transcription:

P(t)=4800/1+14e^-0.15t

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