A simple model for the flow of air in and out of the lungs

Last updated: 1/14/2024

A simple model for the flow of air in and out of the lungs of a certain mammal is given by the following equation where V t measured in liters is the volume of air in the lungs at time t20 tis 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 Complete parts a through c below V t H sin 2 a Find the volume function V assuming that V 0 14 L Notice that V changes over time at a known rate V Which equation below correctly gives the volume function t OA V t V 0 V x dx Sv x dx 0 b OC V t V 0 v t dt a OB V 0 V t Sv x dx 0 b OD V 0 V t v t dt