According to Poiseuille's laws, the velocity V of blood is given by V = k (R2 -) 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 = 544.2. Find the rate of change of the blood velocity when R = 0.01 mm and R is changing at 0.004 mm per minute. Assume r is constant. The blood velocity is increasing at (Round to the nearest thousandth as needed.) mm per minute each minute.

According to Poiseuille's laws, the velocity V of blood is given by V = k (R2 -) 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 = 544.2. Find the rate of change of the blood velocity when R = 0.01 mm and R is changing at 0.004 mm per minute. Assume r is constant. The blood velocity is increasing at (Round to the nearest thousandth as needed.) mm per minute each minute.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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