A simple model (with different parameters for different people) for the flow of air in and out of the lungs is

where V(t) (measured in liters) is the volume of air in the lungs at time t ≥ 0, t is measured in seconds, and t = 0 corresponds to a time at which the lungs are full and exhalation begins. Only a fraction of the air in the lungs in exchanged with each breath. The amount that is exchanged is called the tidal volume.

a. Find and graph the volume function V assuming that V(0) = 6 L.

b. What is the breathing rate in breaths/min?

c. What is the tidal volume and what is the total capacity of the lungs?

Transcribed Image Text:

пt т sin 2 V'(t)