Biologists have found that the speed of blood in an artery is a function of the distance

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Biologists have found that the speed of blood in an artery is a function of the distance of the blood from the artery’s central axis. According to Poiseuille’s law,* the speed (in centimeters per second) of blood that is r centimeters from the central axis of an artery is given by the function S(r) = C(R2 − r2), where C is a constant and R is the radius of the artery. Suppose that for a certain artery, C = 1.76 × 105 and R = 1.2 × 10−2 centimeters.

a. Compute the speed of the blood at the central axis of this artery.

b. Compute the speed of the blood midway between the artery’s wall and central axis.

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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