Concept explainers
Blood Flow As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure). The formula that gives v as a function of r is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between v (in cm/s) and r (in cm) is given by the function
- (a) Find v(0.1) and v(0.4).
- (b) What do your answers to part (a) tell you about the flow of blood in this artery?
- (c) Make a table of values of v(r) for r = 0, 0.1, 0.2, 0.3, 0.4, 0.5.
- (d) Find the net change in the velocity v as r changes from 0.1 cm to 0.5 cm.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Bundle: Precalculus: Mathematics for Calculus, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's Precalculus, Enhanced Edition, 7th Edition, Single-Term
Additional Math Textbook Solutions
Calculus For The Life Sciences
University Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
- Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?arrow_forwardFrictional Force The frictional force F between the tires and the road required to keep a car on a curved section of a highway is directly proportional to the square of the speed s of the car. If the speed of the car is doubled, the force will change by what factor?arrow_forwardWork The work W required to lift an object varies jointly with the object’s mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 100-kilogram object 1.5 meters.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning