1) Air Flow in the Lungs: A simple model (with different parameters for different people) for the flow of air in and out of the lungs is V'(t)=- -sin -t where V(t) (measured in liters) is the volume of π 2 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 is exchanged with each breath. The amount that is exchanged is called the tidal volume. a) Find and graph the volume function V assuming V(0) = 6 L. b) What is the breathing rate in breaths/minute? c) What is the tidal volume and what is the total capacity of the lungs?