The lungs do not completely empty or completely fill in normal breathing. The volume of the lungs normally varies between 2200 ml and 2800 ml with a breathing rate of 18 breaths/min. This exchange of air is called the tidal volume. One approximation for the volume of air in the lungs uses the cosine function written in the following manner:
V(t)=A+Bcos(ωt),

where A, B, and ω are constants and t is in minutes. Use the data above to create a model, finding the constants

Question

The lungs do not completely empty or completely fill in normal breathing. The volume of the lungs normally varies between 2200 ml and 2800 ml with a breathing rate of 18 breaths/min. This exchange of air is called the tidal volume. One approximation for the volume of air in the lungs uses the cosine function written in the following manner: 
V(t)=A+Bcos(ωt),

where A, B, and ω are constants and t is in minutes. Use the data above to create a model, finding the constants

dumbcow · Answer

|dw:1441509659842:dw|

A = center line
B = amplitude
w = 2pi/period