Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 seconds. The maximum rate of air flow into the lungs is about 0.5 L/s. This explains, in part, why the function f(t) = 2nt sin has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t. V(t) = liters

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 seconds. The maximum rate of air flow into the lungs is
2nt
about 0.5 L/s. This explains, in part, why the function f(t) =
sin
has often been used to model the rate of air flow into the lungs. Use this model to find the volume of
inhaled air in the lungs at time t.
V(t) =
liters
Transcribed Image Text:Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 seconds. The maximum rate of air flow into the lungs is 2nt about 0.5 L/s. This explains, in part, why the function f(t) = sin has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t. V(t) = liters
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