Endangered Species A conservation organization releases 25

Chapter 6, Problem 79

(choose chapter or problem)

Endangered Species A conservation organization releases 25 Florida panthers into a game preserve. After 2 years, there are 39 panthers in the preserve. The Florida preserve has a carrying capacity of 200 panthers. (a) Write a logistic equation that models the population of the panther population of the preserve. (b) Find the population of the herd after 5 years. (c) When will the herds population reach 100? (d) Write a logistic differential equation that models the growth rate of the panther population. Then repeat part (b) using Eulers Method with a step size of Compare the approximation with the exact answers. (e) At what time is the panther population growing most rapidly? Explain. x32

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