a.
To show: that the conic is parabola.
a.
Explanation of Solution
Given information:
The polar equation is
Proof: since, the polar equation is
Form the polar equation it can be observed that,
Since,
Thus, the conic is parabola.
Now, by using plotting point method,
Now, using the above table and join the points,
The graph can be obtained as:
b.
To draw: the parabola with its directrix and vertex.
b.
Explanation of Solution
Given information:
The polar equation is
Proof: since, the polar equation is
Form the polar equation it can be observed that,
Since,
Thus, the conic is parabola.
Now, by using plotting point method,
Now, using the above table and join the points,
The graph can be obtained as:
Interpretation: from the above graph it can be observed that the vertex of the parabola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning