The growth of a population of rare beetles is given by the logistic function with k 000001 and t in months. Assumethat 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,C. 4 yearse. What happens to the rate of growth over time?b. 7 monthsd. 6 yearsa. G() =](Type an exact answer in terms of e.)b. The population of beetles after 7 months is(Round to three decimal places as needed.)After 7 months, the rate of growth of the population is(Round to three decimal places as needed)beetles per month.C. The population of beetles after 4 years is(Round to three decimal places as needed)beetles.beetles per month.After 4 years, the rate of growth of the population is(Round to three decimal places as needed )d. The population of beetles after 6 years is(Round to three decimal places as needed )beetles. After 4 years, the rate of growth of the population is(Round to three decimal places as needed.)beetles per month.d. The population of beetles after 6 years is(Round to three decimal places as needed.)beetles.After 6 years, the rate of growth of the population is(Round to three decimal places as needed.)beetles per month.e. Choose the correct answer below.OA. The rate of growth of the population decreases.O B. The rate of growth of the population increases.2C. The rate of growth of the population increases for a whiie and then decreases.D. The rate of growth of the population decreases for a while and then increases.

Answered: The growth of a population of rare…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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