(a)
To fill: The condition to plot all the points
(a)
Answer to Problem 2E
To graph the polar equation
Explanation of Solution
The graph of polar equation
Thus, to graph the polar equation
(b)
To evaluate: The graph and the description of the graph of the polar equations
(b)
Answer to Problem 2E
The graph of the equation
The graph of the equation
Explanation of Solution
Calculation:
Section 1:
The given polar equation is,
Simplify the above equation taking square to each side,
This is the equation of a circle centered at the origin with radius 3.
Draw the graph of the equation
Figure (1)
From Figure (1), it is noticed that it is a circle centered at the origin with radius 3.
Thus, the graph of the equation
Section 2:
The given polar equation is,
Simplify the above equation using the formula to convert in rectangular coordinate,
Substitute
this is a equation of line passing through the origin with slope
Draw the graph of the equation
Figure (2)
From Figure (1), it is noticed that it is a line passing through the origin with slope
Thus, the graph of the equation
Chapter 8 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