(a)
To graph: the polar equation and identify the conic
(a)
Answer to Problem 8E
The given equation is Parabola
Explanation of Solution
Given:
Calculation:
If
If
If e<1, conic is an ellipse
If e>1, conic is hyperbola.
Here, the eccentricity is e=1
The given equation is parabola.
Conclusion:
The given equation is Parabola
(b)
To graph: the polar equation and identify the conic
(b)
Answer to Problem 8E
The given equation is ellipse
Explanation of Solution
Given:
If
If
If e<1, conic is an ellipse
If e>1, conic is hyperbola.
Here, the eccentricity is
The given equation is ellipse
Conclusion:
The given equation is ellipse
(c)
To graph: the polar equation and identify the conic the given equation is hyperbola
(c)
Answer to Problem 8E
Explanation of Solution
Given:
Calculation:
Here, the eccentricity is e=1.5
Therefore, the given equation is hyperbola
Conclusion:
Therefore, the given equation is hyperbola
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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