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 thatis relative change in radius,
Therefore, relative change inis four times the relative change in.