Concept explainers
a.
Time for one full respiratory cycle.
a.
Answer to Problem 87E
Explanation of Solution
Given information:
After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by
where
Find the time for one full respiratory cycle.
Calculation:
The velocity of airflow after time
It is known that the period for a function of the form
Period
Then period of
Period
Hence, the time for one full cycle is
b.
Find the number of cycles per minute.
b.
Answer to Problem 87E
Explanation of Solution
Given information:
After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by
Where
Find the number of cycles per minute.
Calculation:
One full cycle requires 4sec., then the number of cycles in
Hence, the number of cycles per minute is
c.
Sketch the graph of the velocity function.
c.
Answer to Problem 87E
Explanation of Solution
Given information:
After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by
Where
Sketch the graph of the velocity function.
Calculation:
The graph of
Hence, the result.
Chapter 4 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