14th Edition

ISBN: 9780135961407

Author: Barnett

Publisher: PEARSON CO

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Textbook Question

Chapter 8.3, Problem 49E

Physiology. A normal seated adult inhales and exhales about 0.8 liter of air every 4 seconds. The volume of air V(t) in the lungs t seconds after exhaling is given approximately by

V ( t ) = 0.45 − 0.35 cos π t 2 0 ≤ t ≤ 8

(A) What is the rate of flow of air t seconds after exhaling?

(B) What is the rate of flow of air 3 seconds after exhaling? 4 seconds after exhaling? 5 seconds after exhaling?

(D) Find the absolute maximum and minimum for 0 ≤ t ≤ 8.

(E) Repeat part (C), using a graphing calculator.

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Chapter 8.3, Problem 48E

Chapter 8.3, Problem 50E

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Solution Summary: The author calculates the rate of flow of air seconds after exhaling, which is the derivative of V(t) with respect to the time.

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