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An organism has size w at time t for positive constants a b

Question: An organism has size W at time t. For positive constants A, b, and c, the Gompertz growth function gives

W = Ae^{e^{b - ct}}, t ≥ 0

(a) Find the intercepts and asymptotes.

(b) Find the critical points and inflection points.

(d) A certain organism grows fastest when 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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Mathematics: An organism has size w at time t for positive constants a b

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