APPLICATION The rate at which a bear population grows in a park is given by the equation

Chapter 9, Problem 10

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APPLICATION The rate at which a bear population grows in a park is given by the equation P(b) = 0.001b(100 b). The function value P(b) represents the rate at which the population is growing in bears per year, and b represents the number of bears. a. Find P(10) and provide a real-world meaning for this value. b. Solve P(b) = 0 and provide real-world meanings for these solutions. c. For what size bear population would the population grow fastest? d. What is the maximum number of bears the park can support? e. What does it mean to say that P(120) < 0?

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