When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is propor- tional to the fourth power of the radius R of the blood vessel: F = kR4 %3D (This is known as Poiseuille's Law; we will show why it is true in Section 8.4.) A partially clogged artery can be expanded by an operation called angioplasty, in which a balloon-tipped catheter is inflated inside the artery in order to widen it and restore the normal blood flow.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Problem 38

 

When blood flows along a blood vessel, the flux F (the volume
of blood per unit time that flows past a given point) is propor-
tional to the fourth power of the radius R of the blood vessel:
F = kR4
%3D
(This is known as Poiseuille's Law; we will show why it
is true in Section 8.4.) A partially clogged artery can be
expanded by an operation called angioplasty, in which a
balloon-tipped catheter is inflated inside the artery in order
to widen it and restore the normal blood flow.
Transcribed Image Text:When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is propor- tional to the fourth power of the radius R of the blood vessel: F = kR4 %3D (This is known as Poiseuille's Law; we will show why it is true in Section 8.4.) A partially clogged artery can be expanded by an operation called angioplasty, in which a balloon-tipped catheter is inflated inside the artery in order to widen it and restore the normal blood flow.
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