
Concept explainers
a.
To show that
a.

Answer to Problem 36E
It is proved
Explanation of Solution
Given:
It is given that another
Calculation:
The differential equation is
Using separation of variable method
integrating both side
where
Therefore, it is proved
b.
To find
b.

Answer to Problem 36E
The value of
Explanation of Solution
Given:
It is given that another differential equation that models limited growth of a population
Calculation:
Since,
c.
To find for what time
c.

Answer to Problem 36E
Population growth is fastest at
Explanation of Solution
Given:
It is given that another differential equation that models limited growth of a population
Calculation:
Since, the solution of differential equation
Now, by second derivative test
Therefore , population growth is fastest at
d.
To explain how does the growth curve in this model differ from the growth curve in the logistic model.
d.

Answer to Problem 36E
The graph of logistic curve has inflection point whereas the graph of limited growth does not have any inflection point.
Explanation of Solution
Given:
It is given that another differential equation that models limited growth of a population
The graph of logistic curve looks like the graph below
The graph of limited growth curve looks like the graph below
The graph of logistic curve has inflection point whereas the graph of limited growth does not have any inflection point.
Chapter 7 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
Precalculus
A First Course in Probability (10th Edition)
Algebra and Trigonometry (6th Edition)
Basic Business Statistics, Student Value Edition
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