Concept explainers
Tofind:The equation of the parabola.
Answer to Problem 100E
The equation of the parabola is
Explanation of Solution
Given information:
Road engineers design a parabolic entrance ramp from a straight street to an interstate highway(see figure).
Calculation:
The standard equation for the parabola is
As clear from the figure that the vertex of parabola is
Now substitute
Now as it is clear from the figure that the parabola passes through the point
Now substitute
Now substitute
Therefore, the equation of the parabola is
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
- 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