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The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the (constant) radius of the vessel, and r is the distance of the particular corpuscle from the center of the vessel. The rate of flow can be found by measuring the volume of blood that flows past a point in a given time period. This volume, V, is given by V = - √² v (2πr o dr). If R = 0.32 cm and v = (0.32 - 3.37r2) cm/s, find the volume. (Round your answer to two decimal places.) cm cm³ 3

The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the (constant) radius of the vessel, and r is the distance of the particular corpuscle from the center of the vessel. The rate of flow can be found by measuring the volume of blood that flows past a point in a given time period. This volume, V, is given by V = - √² v (2πr o dr). If R = 0.32 cm and v = (0.32 - 3.37r2) cm/s, find the volume. (Round your answer to two decimal places.) cm cm³ 3

College Algebra
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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The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the (constant) radius of the vessel, and r is the distance of the particular corpuscle from the center of the vessel. The rate of flow can be found by measuring the volume of blood that flows past a point in a given time period. This volume, V, is given by V = - √² v (2πr o dr). If R = 0.32 cm and v = (0.32 - 3.37r2) cm/s, find the volume. (Round your answer to two decimal places.) cm cm³ 3
Transcribed Image Text:The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the (constant) radius of the vessel, and r is the distance of the particular corpuscle from the center of the vessel. The rate of flow can be found by measuring the volume of blood that flows past a point in a given time period. This volume, V, is given by V = - √² v (2πr o dr). If R = 0.32 cm and v = (0.32 - 3.37r2) cm/s, find the volume. (Round your answer to two decimal places.) cm cm³ 3
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