Concept explainers
The equation in the standard form and then sketch the graph of the equation.
Explanation of Solution
Given:
The expression is given as:
Rotation of axes to eliminate xy term:
The general second degree equation
By rotating the coordinate axes through an angle
where
The coefficients of the new equation are obtained by making the following substitutions
And
Consider the equation of the conic xy-4=0 , here A=C=D=E=0 and B=1 and F=-4
=0
Further simplify to find the value as shown below
The transformed equation is
Thus, the required equation in standard form is
The graph of xy-4=0 is shown below using Maple.
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