Concept explainers
To find: The type of curve; its foci and vertices and its graph.
Answer to Problem 34RE
Given curve is a hyperbola where
Explanation of Solution
Given information:
The equation;
Calculation:
For an
1) If
2) If
3) If
4) If
Given equation is
Here;
A=1
B=0
C=-9
Now;
So, the given equation is a hyperbola.
Now, to find the Focus:
For hyperbola:
Focus: (
Centre: (h,k)
Vertices: (
The general equation of hyperbola:
Given equation is:
Here,
a=3
b=1
h=-3
k=0
Vertices
Interpretation :
Given curve is a hyperbola where
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th 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