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

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Calculus

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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 120 tis me 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 the tidal volume Complete parts a through c below V t T sin 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 A V t V 0 V x dx Sv x d 0 OC V t V 0 at V t 13 cos at 2 b a Find the volume function V assuming that V 0 14 L t dt Type an exact answer COLLE b What is the breathing rate in breaths minute The breathing rate is 15 breaths minute Type an integer or a simplified fraction c What is the tidal volume and what is the total capacity of the lungs Sv x dx 0 OB V 0 V t b OD V 0 V t V t di fv t dt a

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