Concept explainers
a.
Find the time for one full respiratory cycle.
a.
Answer to Problem 80E
Explanation of Solution
Given information:
For a person at rest, the velocity v (in litters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modelled by
Find the time for one full respiratory cycle.
Calculation:
We have given
So,
Hence, the one respiratory period lasts in
b.
Find the number of cycles per minute.
b.
Answer to Problem 80E
Explanation of Solution
Given information:
For a person exercising, the velocity v (in litters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modelled by
Find the number of cycles per minute.
Calculation:
We have given
So,
If one cycle in 6 second then cycle in one minute is
Hence, the cycle in one minute is
c.
Sketch the graph of velocity function.
c.
Answer to Problem 80E
Explanation of Solution
Given information:
For a person exercising, the velocity v (in litters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modelled by
Sketch the graph of the velocity function. Use the graph to confirm your answer in part (a) by finding two times when new breaths begin. (Inhalation occurs when v > 0, and exhalation occurs when v < 0.)
Calculation:
We have given
So,
Hence, It has no phase shift and no vertical shift.
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