Concept explainers
a.
To find a curve to model the data and superimpose it on a
a.
Answer to Problem 38E
The curve is,
Explanation of Solution
Given information: Data
Calculation: The curve is,
b.
To find what number will the Virginia Beach population approach in the long run?
b.
Answer to Problem 38E
The Virginia Beach population is 459310.
Explanation of Solution
Given information: Data
Calculation: The Virginia Beach population is obtained as,
Hence, the Virginia Beach population is 459310.
c.
To find when would the Virginia Beach population first exceed 450,000 people?
c.
Answer to Problem 38E
In 2010 the Virginia Beach population first exceed 450,000 people.
Explanation of Solution
Given information: Data
Calculation: The required solution is obtained as,
that is 2010.
Hence, In 2010 the Virginia Beach population first exceed 450,000 people.
d.
To write a logistic differential equation in the form
d.
Answer to Problem 38E
The required solution is
Explanation of Solution
Given information:
Calculation: The required solution is obtained as,
Using the long-term carrying capacity from part (b) and the growth rate from the logistic regression in part (a), we plug those into the logistic differential equation to find:
Hence, the required solution is
e.
To write a logistic differential equation in the form
e.
Answer to Problem 38E
The required solution is
Explanation of Solution
Given information:
Calculation: The required solution is obtained as,
Using the long-term carrying capacity from part (b) and the growth rate from the logistic regression in part (a), we plug those into the logistic differential equation to find:
Hence, the required solution is
Chapter 7 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
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