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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 s. The sin(2t/3) has 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 =

Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The sin(2t/3) has 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 =

Calculus: Early Transcendentals
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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**Breathing and Respiratory Cycle Analysis** 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 airflow into the lungs is approximately **0.3 L/s**. This can be modeled by the function: \[ f(t) = \frac{3}{10} \sin\left(\frac{2\pi t}{3}\right) \] This function is often used to represent the rate of airflow into the lungs. **Objective** Use this model to calculate the volume of inhaled air in the lungs at time \( t \). \[ V(t) = \, \underline{\hspace{50pt}} \, \text{liters} \] By integrating the function \( f(t) \), you can determine the volume of air inhaled over a specific time interval.
Transcribed Image Text:**Breathing and Respiratory Cycle Analysis** 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 airflow into the lungs is approximately **0.3 L/s**. This can be modeled by the function: \[ f(t) = \frac{3}{10} \sin\left(\frac{2\pi t}{3}\right) \] This function is often used to represent the rate of airflow into the lungs. **Objective** Use this model to calculate the volume of inhaled air in the lungs at time \( t \). \[ V(t) = \, \underline{\hspace{50pt}} \, \text{liters} \] By integrating the function \( f(t) \), you can determine the volume of air inhaled over a specific time interval.
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