According to Poiseuille's laws, the velocity V of blood is given by V=k (R²-2) 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=479.2. Find the rate of change of the blood velocity when R = 0.08 mm and R is changing at 0.008 mm per minute. Assume r is constant.

According to Poiseuille's laws, the velocity V of blood is given by V=k (R²-2) 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=479.2. Find the rate of change of the blood velocity when R = 0.08 mm and R is changing at 0.008 mm per minute. Assume r is constant.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 15P: Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank...

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