Air flow in the lungs A simple model (with different parameters for different people) for the flow of air in and out of the lungs is V'12 = - P pt sin where VI12 (measured in liters) is the volume of air in the lungs at time i U 0, t is 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. a. Find the volume function V assuming V102 = 6 L. b. What is the breathing rate in breaths>min? c. What is the tidal volume and what is the total capacity of the lungs?

Air flow in the lungs A simple model (with different parameters for different people) for the flow of air in and out of the lungs is V'12 = - P pt sin where VI12 (measured in liters) is the volume of air in the lungs at time i U 0, t is 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. a. Find the volume function V assuming V102 = 6 L. b. What is the breathing rate in breaths>min? c. What is the tidal volume and what is the total capacity of the lungs?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 31E

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