An organism has sizeW at time t. For positive constants A, b, and c, the Gompertz growth

Chapter 4, Problem 78

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An organism has sizeW at time t. For positive constants A, b, and c, the Gompertz growth function gives W = Aeebct , t 0. (a) Find the intercepts and asymptotes. (b) Find the critical points and inflection points. (c) Graph W for various values of A, b, and c. (d) A certain organismgrows fastestwhen it is about 1/3 of its final size. Would the Gompertz growth function be useful in modeling its growth? Explain.

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