In 1774, Captain James Cook left 10 rabbits on a small Pacific island. The rabbit
Chapter 4, Problem 27(choose chapter or problem)
In 1774, Captain James Cook left 10 rabbits on a small Pacific island. The rabbit population is approximated by P(t) = 2000 1 + e5.30.4t with t measured in years since 1774. Using a calculator or computer: (a) Graph P. Does the population level off? (b) Estimate when the rabbit population grew most rapidly. How large was the population at that time? (c) Find the inflection point on the graph and explain its significance for the rabbit population. (d) What natural causes could lead to the shape of the graph of P?
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