Blood flowing through an artery flows faster in the center of the artery and more slowly near the sides (because of friction). The speed of the blood is V = c(R²-2) millimeters (mm) per second, where R is the radius of the artery, r is the distance of the blood from the center of the artery, and c is a constant. Artery Suppose that arteriosclerosis is narrowing the artery at the rate of dR/dt = -0.02 mm per year. Find the rate at which blood flow is being reduced in an artery whose radius is R -0.02 with c500. [Hint: Find dv/dt, considering to be a constant. The units of dv/dt will be mm per second per year] X mm per sec per yr Need Help? Talk to a Tutor

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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Blood flowing through an artery flows faster in the center of the artery and more slowly near the sides (because of friction). The speed of the blood is
V = c(R²-²) millimeters (mm) per second, where R is the radius of the artery, r is the distance of the blood from the center of the artery, and c is a
constant.
Artery
Suppose that arteriosclerosis is narrowing the artery at the rate of dR/dt = -0.02 mm per year. Find the rate at which blood flow is being reduced in an
artery whose radius is R=0.02 with c= 500. [Hint: Find dv/dt, considering to be a constant. The units of dv/dt will be mm per second per
year.]
X mm per sec per yr
R
Need Help? Talk to a Tutor
Transcribed Image Text:Blood flowing through an artery flows faster in the center of the artery and more slowly near the sides (because of friction). The speed of the blood is V = c(R²-²) millimeters (mm) per second, where R is the radius of the artery, r is the distance of the blood from the center of the artery, and c is a constant. Artery Suppose that arteriosclerosis is narrowing the artery at the rate of dR/dt = -0.02 mm per year. Find the rate at which blood flow is being reduced in an artery whose radius is R=0.02 with c= 500. [Hint: Find dv/dt, considering to be a constant. The units of dv/dt will be mm per second per year.] X mm per sec per yr R Need Help? Talk to a Tutor
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