Concept explainers
Fish Population A small lake is stocked with a certain species of fish. The fish population is modeled by the function
where P is the number of fish in thousands and t is measured in years since the lake was stocked.
- (a) Find the fish population after 3 years.
- (b) After how many years will the fish population reach 5000 fish?
(a)
To find: The fish population after 3 years.
Answer to Problem 83E
The fish population after
Explanation of Solution
Given:
The fish population model function (
Time
Calculation:
The given fish population model function (
Substitute
Simplify the above expression,
Thus, the fish population after
(b)
To find: The time for the fish population become
Answer to Problem 83E
The fish population become
Explanation of Solution
Given:
The fish population model function (
The fish population is
That is,
Calculation:
The given fish population model function (
Substitute
Simplify the above expression taking
Thus, the fish population become
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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