As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure). The formula that gives v as a function of r is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between v (in cm/s) and r (in cm) is given by the function v(r) = 18,500(0.25 – r2) 0

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance
r from the central axis increases (see the figure). The formula that gives v as a function of r is called the law of laminar
flow. For an artery with radius 0.5 cm, the relationship between v (in cm/s) and r (in cm) is given by the function
v(r) = 18,500(0.25 – r2)
0<rs 0.5.
0.5 cm
(a) Find v(0.1) and v(0.4).
v(0.1) =
cm/s
%3D
v(0.4) =
cm/s
Transcribed Image Text:As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure). The formula that gives v as a function of r is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between v (in cm/s) and r (in cm) is given by the function v(r) = 18,500(0.25 – r2) 0<rs 0.5. 0.5 cm (a) Find v(0.1) and v(0.4). v(0.1) = cm/s %3D v(0.4) = cm/s
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