Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function f(t)=sin(2πt/3) 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. 10 V(t) = liters

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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sin(2лt/3) has
Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The
3
maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function f(t) =
10
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:= sin(2лt/3) has Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The 3 maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function f(t) = 10 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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