Poiseuille's Law states that the volume, V, of blood flowing through an artery in a unit of time at a fixed pressure is directly proportional to the fourth power of the radius of the a That is, V = kr“, where r is the radius of the artery. If the radius is increased by about 4 %, by about how much will the volume of blood flowing through the artery increase? 16 % By about how much must the radius of the artery be increased to achieve a 50 % increase in the volume of blood flowing through the artery?| % Note: enter an answer accurate to 4 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 29E
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Poiseuille's Law states that the volume, V, of blood flowing through an artery in a unit of time at a fixed pressure is directly proportional to the fourth power of the radius of the arter
That is, V = kr“, where r is the radius of the artery.
If the radius is increased by about 4 %, by about how much will the volume of blood flowing through the artery increase? 16 %
By about how much must the radius of the artery be increased to achieve a 50 % increase in the volume of blood flowing through the artery? %
Note: enter an answer accurate to 4 decimal places.
Transcribed Image Text:Poiseuille's Law states that the volume, V, of blood flowing through an artery in a unit of time at a fixed pressure is directly proportional to the fourth power of the radius of the arter That is, V = kr“, where r is the radius of the artery. If the radius is increased by about 4 %, by about how much will the volume of blood flowing through the artery increase? 16 % By about how much must the radius of the artery be increased to achieve a 50 % increase in the volume of blood flowing through the artery? % Note: enter an answer accurate to 4 decimal places.
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