To find:
The equation of the parabola
Answer to Problem 65E
The equation of the parabola is
Explanation of Solution
Given:
The normal line to the parabola
Concept used:
The equation is in slope −intercept form,
An equation for the line through the point
Calculation:
The function
The derivative of a function
Differentiating the equation (1) with respect to
The slope of the tangent
Point
So, satisfies the original parabola equation
The line intersect the parabolas
So parabola equation is
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