The growth of a population of rare South American beetles is given by the logistic function with

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The growth of a population of rare South American beetles is given by the logistic function with k = 0.00001 and t in months. Assume that there are 200 beetles initially and that the maximum population size is 10,000.

a. Find the growth function G(t) for these beetles. Find the population and rate of growth of the population after the following times.

b. 6 months 

c. 3 years 

d. 7 years

e. What happens to the rate of growth over time?

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Calculus With Applications

ISBN: 9780321831101

10th Edition

Authors: Margaret L Lial, Raymond N Greenwell, Nathan P Ritchey

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