25 Oct 2021
Problem 33
Page 246
Section 3.9: Linear Approximations and Differentials
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
25 Oct 2021
Given information
Given :- according to the question when blood flows along a blood vessel, the flux is proportional to the fourth power of the radius of the blood vessel,
A partially clogged artery can be expanded by an operation called angioplasty, in which a balloon-tipped catheter is inflated inside the artery in order to widen it and restore the normal blood flow.
To show :- Show that the relative change in 
is about four times the relative change in
.
Step-by-step explanation
Step 1.
Take the equation,
Differentiate equation (1) and calculate the relative change in flux by dividing
.
Know that
is relative change in radius,
Therefore, relative change inis four times the relative change in.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
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