To find: the hyperbola’s asymptotes and sketch the hyperbola.
Answer to Problem 21E
The hyperbola’s asymptote is
The sketch of the hyperbola is:
Explanation of Solution
Given:
Calculation:
Given the equation of a hyperbola:
Converting it to the standard form:
Therefore,
Now
Foci are
Asymptotes are given by:
Following is the sketch:
Conclusion:
The hyperbola’s asymptotes is:
The sketch of the hyperbola is:
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus & Its Applications (14th 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