a.
Determine the domain of the function in the context of the problem.
a.
Answer to Problem 79RE
Explanation of Solution
Given information:
The time
Determine the domain of the function in the context of the problem.
Calculation:
The logarithm is defined only for positive real number so that,
This is possible only when
Hence the domain of the function is,
b.
Use a graphing utility to graph the function and identify any asymptotes.
b.
Answer to Problem 79RE
Explanation of Solution
Given information:
The time
Use a graphing utility to graph the function and identify any asymptotes.
Calculation:
The graph the function is,
Hence, from the graph vertical asymptotes is,
c.
What can be said about the time required to increase its altitude?
c.
Answer to Problem 79RE
Explanation of Solution
Given information:
The time
As the plane approaches its absolute ceiling, what can be said about the time required to increase its altitude?
Calculation:
As the plane is at a slower rate so that required time is increased.
Hence, the time is
d.
Find the time it takes for the plane to climb to an altitude of
d.
Answer to Problem 79RE
Explanation of Solution
Given information:
The time
Find the time it takes for the plane to climb to an altitude of
Calculation:
Put
Hence, the time required is
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- 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