Logistic Equation Suppose that the size of a population at time t is denoted by N(t) and
Chapter 5, Problem 26(choose chapter or problem)
Logistic Equation Suppose that the size of a population at time t is denoted by N(t) and satisfies N(t) = 100 1 + 3e2t for t 0. (a) Show that N(0) = 25. (b) Show that N(t) is strictly increasing. (c) Show that lim t N(t) = 100 (d) Show that N(t) has an inflection point when N(t) = 50that is, when the size of the population is at half its limiting value. (e) Use your results in (a)(d) to sketch the graph of N(t).
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