Biology A conservation organization releases 100 animals of an endangered species into a

Chapter 6, Problem 53

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Biology A conservation organization releases 100 animals of an endangered species into a game preserve. During the first 2 years, the population increases to 134 animals. The organization believes that the preserve has a capacity of 1000 animals and that the herd will grow according to a logistic growth model. That is, the size y of the herd will follow the equationwhere t is measured in years. Find this logistic curve. (To solve for the constant of integration C and the proportionality constant k, assume when and when ) Use a graphing utility to graph your solution.

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