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

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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

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|dw:1441509659842:dw| A = center line B = amplitude w = 2pi/period
\[V(t) = 2500 + 300 \cos (36 \pi t)\]

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