A population, P, in a restricted environment may grow with time, t, according to the
Chapter 0, Problem 102(choose chapter or problem)
A population, P, in a restricted environment may grow with time, t, according to the logistic function P = L 1 + Cekt where L is called the carrying capacity and L, C and k are positive constants. (a) Find lim t P. Explain why L is called the carrying capacity. (b) Using a computer algebra system, show that the graph of P has an inflection point at P = L/2.
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