Concept explainers
(a)
To find: The parametric equation for the ellipse.
(a)
Answer to Problem 32E
The required parametric equations are
Explanation of Solution
Given:
The given equation for the ellipse is
Calculation:
The given equation for the ellipse is,
Then from the identity
From above the parametric equation is,
The range of the parametric equation is,
(b)
To find: The graph for the ellipse when
(b)
Answer to Problem 32E
The required graph is shown in Figure 1
Explanation of Solution
Given:
The given points for the ellipse is
Calculation:
Consider the given parametric equation is,
Consider the given points are,
Then, the graph for the equation for the given points is shown in Figure 1
Figure 1
(c)
To find: The way in which the shape of the ellipse varies as the
(c)
Answer to Problem 32E
The ellipse stretches vertically as the value of
Explanation of Solution
Given:
The given graph is shown in Figure 1
Calculation:
Consider the given points are,
From the graph 1 it is clear that the value of
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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