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L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?

L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
Transcribed Image Text:L The Poiseuille's law for flow through a cylindrical pipe (blood vessel) is: K =(R²-2²), where v is the velocity, K is a constant equal to 6 1/s, L is the length of the pipe, R is the radius of the pipe and r is the distance out from the center line of the pipe. For a 100-cm pipe of radius 0.2 cm, find the rate that the flow velocity is changing half-way between the center line and the wall when the pipe is contracting at a rate of 0.0004 cm/s?
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