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Math Calculus Applied Calculus for the Managerial, Life, and Social Sciences

VELOCITY OF BLOOD According to a law discovered by the 19th-century physician Jean Louis Marie Poiseuille, the velocity (in centimeters per second) of blood r cm from the central axis of an artery is given by v ( r ) = k ( R 2 − r 2 ) where k is a constant and R is the radius of the artery. Show that the velocity of blood is greatest along the central axis.

VELOCITY OF BLOOD According to a law discovered by the 19th-century physician Jean Louis Marie Poiseuille, the velocity (in centimeters per second) of blood r cm from the central axis of an artery is given by v ( r ) = k ( R 2 − r 2 ) where k is a constant and R is the radius of the artery. Show that the velocity of blood is greatest along the central axis.

Solution Summary: The author explains that the velocity of the blood is greatest along the central axis.

Applied Calculus for the Managerial, Life, and Social Sciences

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Textbook Question

Chapter 4.4, Problem 60E

VELOCITY OF BLOOD According to a law discovered by the 19th-century physician Jean Louis Marie Poiseuille, the velocity (in centimeters per second) of blood r cm from the central axis of an artery is given by

v(r) = k(R² − r²)

where k is a constant and R is the radius of the artery. Show that the velocity of blood is greatest along the central axis.

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Chapter 4.4, Problem 59E

Chapter 4.4, Problem 61E

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Chapter 4 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

Ch. 4.1 - Explain each of the following: a. f is increasing...Ch. 4.1 - Prob. 2CQ Ch. 4.1 - Prob. 3CQ Ch. 4.1 - Prob. 4CQ Ch. 4.1 - Prob. 5CQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E

Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - In Exercises 14-37, find the interval(s) where the...Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - In Exercises 14-37, find the interval(s) where the...Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - PROFIT OF A COMPANY The graph of the derivative P...Ch. 4.1 - 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