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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 1.3, Problem 28E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500 mL. The reserve and residue volumes of air that remain in the lungs occupy about 2000 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air V(t) in the lungs as a function of time.

To determine

To find: Thefunction to determine the total volume of air V(t) in the lungs in terms of time.

Explanation

Given:

The volume of air that moves in and out of the lungs is about 500 mL.

The volume of the air remaining in the lungs is about 2,000 mL and the average time taken by a human being for 1 respiratory cycle is 4 seconds.

Calculation:

The total volume of air equals the sum of the volume of air moved into lungs, the volume of air that moves out from the lungs and the volume of air remains in the lungs.

The total volume of air=500 mL+2,000 mL=25,00 mL

The average volume of air=(The total volume of air in the lungs+The volume of air remains in the lungs)2       =2,500+2,0002       =4,5002       =2,250

The amplitude of the function=(The total volume of�

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Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E
Sect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.1 P-44ESect-1.1 P-45ESect-1.1 P-46ESect-1.1 P-47ESect-1.1 P-48ESect-1.1 P-49ESect-1.1 P-50ESect-1.1 P-51ESect-1.1 P-52ESect-1.1 P-53ESect-1.1 P-54ESect-1.1 P-55ESect-1.1 P-56ESect-1.1 P-57ESect-1.1 P-58ESect-1.1 P-59ESect-1.1 P-60ESect-1.1 P-61ESect-1.1 P-62ESect-1.1 P-63ESect-1.1 P-64ESect-1.1 P-65ESect-1.1 P-66ESect-1.1 P-67ESect-1.1 P-68ESect-1.1 P-69ESect-1.1 P-70ESect-1.1 P-71ESect-1.1 P-72ESect-1.1 P-73ESect-1.1 P-74ESect-1.1 P-75ESect-1.1 P-76ESect-1.1 P-77ESect-1.1 P-78ESect-1.1 P-79ESect-1.1 P-80ESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.5 P-11ESect-1.5 P-12ESect-1.5 P-13ESect-1.5 P-14ESect-1.5 P-15ESect-1.5 P-16ESect-1.5 P-17ESect-1.5 P-18ESect-1.5 P-19ESect-1.5 P-20ESect-1.5 P-21ESect-1.5 P-22ESect-1.5 P-23ESect-1.5 P-24ESect-1.5 P-25ESect-1.5 P-26ESect-1.5 P-27ESect-1.5 P-28ESect-1.5 P-29ESect-1.5 P-30ESect-1.5 P-31ESect-1.5 P-32ESect-1.5 P-33ESect-1.5 P-34ESect-1.5 P-35ESect-1.5 P-36ESect-1.5 P-37ESect-1.5 P-38ESect-1.5 P-39ESect-1.5 P-40ESect-1.5 P-41ESect-1.5 P-42ESect-1.5 P-43ESect-1.5 P-44ESect-1.5 P-45ESect-1.5 P-46ESect-1.5 P-47ESect-1.5 P-48ESect-1.5 P-49ESect-1.5 P-50ESect-1.5 P-51ESect-1.5 P-52ESect-1.5 P-53ESect-1.5 P-54ESect-1.5 P-55ESect-1.5 P-56ESect-1.5 P-57ESect-1.5 P-58ESect-1.5 P-61ESect-1.5 P-62ESect-1.5 P-63ESect-1.5 P-64ESect-1.5 P-65ESect-1.5 P-66ESect-1.5 P-67ESect-1.5 P-68ESect-1.5 P-69ESect-1.5 P-70ESect-1.5 P-71ESect-1.5 P-72ESect-1.5 P-73ESect-1.5 P-74ESect-1.5 P-75ESect-1.5 P-76ESect-1.5 P-77ECh-1 P-1RCCCh-1 P-2RCCCh-1 P-3RCCCh-1 P-4RCCCh-1 P-5RCCCh-1 P-6RCCCh-1 P-7RCCCh-1 P-8RCCCh-1 P-9RCCCh-1 P-10RCCCh-1 P-11RCCCh-1 P-12RCCCh-1 P-13RCCCh-1 P-1RQCh-1 P-2RQCh-1 P-3RQCh-1 P-4RQCh-1 P-5RQCh-1 P-6RQCh-1 P-7RQCh-1 P-8RQCh-1 P-9RQCh-1 P-10RQCh-1 P-11RQCh-1 P-12RQCh-1 P-13RQCh-1 P-14RQCh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 P-7RECh-1 P-8RECh-1 P-9RECh-1 P-10RECh-1 P-11RECh-1 P-12RECh-1 P-13RECh-1 P-14RECh-1 P-15RECh-1 P-16RECh-1 P-17RECh-1 P-18RECh-1 P-19RECh-1 P-20RECh-1 P-22RECh-1 P-23RECh-1 P-24RECh-1 P-25RECh-1 P-26RECh-1 P-27RECh-1 P-28RECh-1 P-1PCh-1 P-2PCh-1 P-3PCh-1 P-4PCh-1 P-5PCh-1 P-6PCh-1 P-7PCh-1 P-8PCh-1 P-9PCh-1 P-10PCh-1 P-11PCh-1 P-12PCh-1 P-13PCh-1 P-14PCh-1 P-15PCh-1 P-16PCh-1 P-17PCh-1 P-18PCh-1 P-19PCh-1 P-20P

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