According t Poiseuille's laws, the velocity V of blood is given by V = k(R-) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k =575.1. Find the rate of change of the blood velocity when R= 0.06 mm and R is changing at 0.007 mm per minute. Assume r is constant.
According t Poiseuille's laws, the velocity V of blood is given by V = k(R-) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k =575.1. Find the rate of change of the blood velocity when R= 0.06 mm and R is changing at 0.007 mm per minute. Assume r is constant.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:According to Poiseuille's laws, the velocity V of blood is given by V =k(R -) where Ris the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, andk is a constant.
A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k= 575.1. Find the rate of change of the blood velocity when R=0.06 mm and R is changing at 0.007 mm per minute.
Assume r is constant.
The blood velocity is increasing at mm per minute each minute.
(Round to the nearest thousandth as needed.)
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