Concept explainers
To find: The standard form of the equation and sketch its graph.
Answer to Problem 13E
The standard form of the equation is
Explanation of Solution
Given information:
The equation is
Calculation:
The general second degree equation is,
The above equation is simplified as
On rotating the coordinate axes through an angle
The
The
Consider the equation of the conic as,
Here,
And
The equation is,
Simplify the above equation.
The transformed equation is,
The graph of
Thus, the standard form of the equation is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- 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