a
To find: The number of degrees the axes must be rotated to eliminate the
a
Answer to Problem 10CT
The number of degrees the axes must be rotated to eliminate the
Explanation of Solution
Given information:
The equation of the conic is
Calculation:
Calculate the rotation of axes to eliminate
The general second degree equation is
By rotating the coordinate axes through an angle
Compare equation
Calculate the angle of rotation.
Therefore, the number of degrees the axes must be rotated to eliminate the
b
To graph: The conic from part
b
Answer to Problem 10CT
The conic from part
Explanation of Solution
Given information:
The equation of the conic is
Calculation:
The equation of the conic in the rotated
Here,
Therefore, the values of
Calculate the coefficient of
Calculate the coefficient of
Calculate the coefficient of
Calculate the coefficient of
Calculate the coefficient of
Calculate the equation of conic in
This is the equation of a hyperbola that is centered at the origin of a
Figure-(1)
Therefore, the conic from part
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