When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) isproportional to the fourth power of the radius R of the blood vessel: F= kR 4 (This is known as Poiseuille’s Law.) A partially cloggedartery can be expanded by an operation called angioplasty,in which a balloon-tipped catheter is inflated inside theartery in order to widen it and restore the normal blood flow.Show that the relative change in Fis about four times the relative change in R How will a 5 percent increase in the radius affect the flow of blood?
When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) isproportional to the fourth power of the radius R of the blood vessel: F= kR 4 (This is known as Poiseuille’s Law.) A partially cloggedartery can be expanded by an operation called angioplasty,in which a balloon-tipped catheter is inflated inside theartery in order to widen it and restore the normal blood flow.Show that the relative change in Fis about four times the relative change in R How will a 5 percent increase in the radius affect the flow of blood?
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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When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is
proportional to the fourth power of the radius R of the blood vessel: F= kR 4 (This is known as Poiseuille’s Law.) 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.Show that the relative change in Fis about four times the relative change in R How will a 5 percent increase in the radius affect the flow of blood?
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