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Insect Growth The growth of a population of rare South

Chapter 4, Problem 46A

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QUESTION:

Insect Growth 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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QUESTION:

Insect Growth 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?

ANSWER:

Solution:Step 1 of 5In this problem, we have given that the growth of a population of beetles is given by the logistic function with The population of beetles initially is .The maximum population size is .________________

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