a.
To find: The population of bears at
The population of bears at
Given:
The model is
Calculation:
The model is
Substitute
Substitute
Substitute
Conclusion:
The population of bears at
b.
To find: Check whether it has horizontal asymptote find the asymptote if it has and give the reason if there is no horizontal asymptote.
Yes, there is a horizontal asymptote at
Given:
The model is
Concept used:
To find the horizontal asymptote find the degree of the numerator and denominator.
Three cases can arise.
- When the degree of numerator is less than the degree of the denominator.
- When the degree of numerator is equal to the degree of the denominator.
- When the degree of numerator is greater than the degree of the denominator.
Then the horizontal asymptote will be
Then the horizontal asymptote will be
Then there will be no horizontal asymptote.
Calculation:
The model is
The degree of numerator is equal to the degree of the denominator.
The horizontal asymptote is as shown below.
Conclusion:
Yes, there is a horizontal asymptote at
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning