(a)
To find: Graph the function in a square viewing window. Describe what you see.
(a)
Answer to Problem 76E
It is observed in the graph that the eccentricity
Explanation of Solution
Given information:
The polar equation is
Calculation:
The given equation is polar equation of ellipse. The standard polar equation of ellipse is
The viewing window will be in ratio
The graph of the given function in square window is below:
It is observed in the graph that the eccentricity
The vertex of the hyperbola is at
(b)
To explain: why do you get both branches of parabola.
(b)
Answer to Problem 76E
Explanation is given.
Explanation of Solution
Given information:
The polar equation of ellipse is
Calculation:
The given equation is polar equation of ellipse. The standard polar equation of ellipse is
Here the constant
Compare the given equation with the standard equation will give
If
Therefore, the it gives two branches of parabola because it becomes hyperbola as eccentricity is greater than one.
(c)
To find: why the graphing calculator appears to show the asymptote.
(c)
Answer to Problem 76E
Explanation is given.
Explanation of Solution
Given information:
The polar equation of ellipse is
Calculation:
The given equation is polar equation of ellipse. The standard polar equation of ellipse is
The asymptotes of the curves are
In polar curves
All the asymptotes lie between
Chapter 10 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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