Chapter 8.3, Problem 77E

(a)

To determine

To calculate: The time for one full respiratory cycle for a person at rest the velocity v in meter per second of airflow into and out of the lungs during a respiratory cycle is provided by the function $v=0.9\sin \frac{\pi t}{3}$; where $t$ represents the time in seconds.

(b)

To determine

To calculate: The number of cycles per minute when a person at rest the velocity v in meter per second of airflow into and out of the lungs during a respiratory cycle is provided by the function $v=0.9\sin \frac{\pi t}{3}$; where $t$ represents the time in seconds.

(c)

To determine

To calculate: The velocities of airflow when $t=1.5$ and $t=3$ without using a calculator when a person at rest the velocity v in meter per second of airflow into and out of the lungs during a respiratory cycle is provided by the function $v=0.9\sin \frac{\pi t}{3}$; where $t$ represents the time in seconds.

(d)

To determine

To graph: The function $v=0.9\sin \frac{\pi t}{3}$; where v is the velocity in meter per second and $t$ is the time in seconds.