a. Answer Explanation Given Information: It has been given that the growth of a conservation organization is modeled by the logistic curve where is measured in months as shown in the figure below: Calculation: The population after 5 months is: b. To determine To find the time when the population becomes 500. Answer Months. Explanation Now, solving the equation as follows. months c. To determine To plot the graph of the given function. Explanation The graph corresponding to the function is given below: From the graph it is clear that the horizontal asymptotes are and which means that the population will approach with passage of time.

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 3.5, Problem 43E

To determine

To find out the population after 5 months.

Expert Solution

Answer to Problem 43E

EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 1

Explanation of Solution

Given Information:

It has been given that the growth of a conservation organization is modeled by the logistic curve EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 2 where is measured in months as shown in the figure below:

Calculation:

The population after 5 months is:

EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 4

To determine

To find the time when the population becomes 500.

Expert Solution

Answer to Problem 43E

EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 5 Months.

Explanation of Solution

Now, solving the equation as follows.

EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 6 months

To determine

To plot the graph of the given function.

Expert Solution

Explanation of Solution

The graph corresponding to the function is given below:

EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 7

From the graph it is clear that the horizontal asymptotes are EBK PRECALCULUS W/LIMITS, Chapter 3.5, Problem 43E , additional homework tip 8 and which means that the population will approach with passage of time.

Chapter 3.5, Problem 42E

Chapter 3.5, Problem 44E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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