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The growth of a population of rare beetles is given by the logistic function with k=0.00001 and tin 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. 7 months C. 4 years d. 6 years e. What happens to the rate of growth over time? a. G(1) = (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. After 4 years, the rate of growth of the population is (Round to three decimal places as needed ) beetles pér month. d. The population of beetles after 6 years is (Round to three decimal places as needed ) beetles.

The growth of a population of rare beetles is given by the logistic function with k=0.00001 and tin 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. 7 months C. 4 years d. 6 years e. What happens to the rate of growth over time? a. G(1) = (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. After 4 years, the rate of growth of the population is (Round to three decimal places as needed ) beetles pér month. d. The population of beetles after 6 years is (Round to three decimal places as needed ) beetles.

Calculus: Early Transcendentals
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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The growth of a population of rare beetles is given by the logistic function with k 000001 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, C. 4 years e. What happens to the rate of growth over time? b. 7 months d. 6 years a. 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.
Transcribed Image Text:The growth of a population of rare beetles is given by the logistic function with k 000001 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, C. 4 years e. What happens to the rate of growth over time? b. 7 months d. 6 years a. 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.
Transcribed Image Text: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.
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