Concept explainers
a.
To graph the top half of the ellipses using graphing device.
a.
Explanation of Solution
Given information: Use graphing device to graph the ellipse
Calculation:
For
For
For
For
Since, only the top part of the graph is to be made, only the positive part of the equation is to be used.
Graph: Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expressions
Step 4: Press GRAPH button to graph the function.
The graph is obtained as:
b.
To determine the similarities and differences in the family of ellipses drawn.
b.
Answer to Problem 49E
The family of ellipses have the same length of major axis but different lengths of minor axis.
Explanation of Solution
Given information:
The following graph for the family of ellipses is drawn:
From the above graph it is seen that the family of ellipses have the same length of major axis but different lengths of minor axis.
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