Concept explainers
To find: The type of curve; and its foci and vertices and its graph.
Answer to Problem 32RE
The given equation is an ellipse and the given curve is
Explanation of Solution
Given information: Given equation;
Calculation:
For an quadratic equation
If
If
If
If
Given equation is
Here;
A=12
B=0
C=1
Now;
So, the given equation is an ellipse
Now, Focus:
For ellipse:
Focus: (
Centre: (h,k)
Vertices: (
The general equation of ellipse:
Given equation is:
Here,
a=6
h=0
k=6
Vertices;
Focus:
Interpretation :
The given equation is an ellipse and the given curve is
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