To find:The centre, vertices, foci, and equations of the asymptotes of the hyperbola and the sketch of the hyperbola.
Answer to Problem 36E
Thecentre, vertices, foci, and equations of the asymptotes of the hyperbola are
Explanation of Solution
Given information:
The equation is
Calculation:
The standard form of the equation is,
Rearrange the equation (1).
Compare equation (1) and (2).
Therefore, the center is
The transverse axis of the hyperbola is horizontal.
Calculate the value of
The vertices and foci are given as
The equation of the asymptotes of the hyperbola is,
Therefore, the equations of the asymptotes are
Draw the sketch for the hyperbola by using the equations of asymptotes.
Figure-(1)
Therefore, the centre, vertices, foci, and equations of the asymptotes of the hyperbola are
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