To calculate: The polar equation of the parabola whose vertex is at
Answer to Problem 44E
The polar equation of the parabola is
Explanation of Solution
Given information:
Characteristics ofparabola are vertex is at
Formula used:
When polar equations are either of the form
When
When
When
Also, for the conic
Calculation:
Consider the parabola whose vertex is at
Vertex is the midpoint between directrix and focus. Since,
Recall that eccentricity of parabola is
It is found that equation of directrix is
Recall that for the conic
Also it is provided that eccentricity is
Substitute
Thu, the polar equation of the parabola is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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