Concept explainers
Determine a
Answer to Problem 33E
Explanation of Solution
Given information:
When blood flows along a blood vessel, the flux is proportion to the fourth power of the radius
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. Show that the relative change in
Calculation:
Consider the equation,
Now differentiate this equation , the relative change in flux is calculated by dividing
Now the change in
Hence the flow of blood will increase about
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning