To find: Whether the statement is true or false. Also, explain the reason if the statement is false.
Answer to Problem 12RQ
The given statement is false as the point
Explanation of Solution
Given:
The given equation of the tangent line to the parabola is
The given points is
The final equation is
Calculation:
Consider the equation for parabola is,
Then, differentiate the above equation as,
Consider the slope of the tangent at the point
Then, the equation of the tangent line to the parabola is,
Thus, the equation
Thu, the given statement is false as the point
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