Explanation Given: y = f ( x ) Calculation: The relative change in y is given by Δ y y And Δ y = f ' ( x ) Δ x Consider that the velocity of the blood is related to the radius of the blood vessel by the following relation v = c R 2 Then, Δ v = v ' Δ R Differentiate with respect to R, v ' = 2 c R Then, Δ v = 2 c R Δ R Now, the value of Δ v v

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Question

Chapter 3.8, Problem 16E

To determine

The relationship between relative change in the blood velocity and relative change in radius

The change in velocity when the radius is increased by 10%.

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Chapter 3.8, Problem 15E

Chapter 3.8, Problem 17E

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The relationship between relative change in the blood velocity and relative change in radius The change in velocity when the radius is increased by 10%.

Solution Summary: The author explains the relationship between the blood velocity and the relative change in radius.