   Chapter 10.6, Problem 39E

Chapter
Section
Textbook Problem

# Finding a Polar Equation In Exercises 39-44. Find a polar equation for the conic with its focus at the pole and the given vertex or vertices.Conic Vertex or VerticesParabola ( 1 , − π 2 )

To determine

To calculate: The polar form of the equation for the parabola having its focus at the pole and the vertex is (1,π2).

Explanation

Given:

The conic is parabola having its vertex (1,π2).

Formula used:

The polar form of the equation for the parabola with its focus at the pole is:

r=ed1esinθ

Here e is the eccentricity and d is the distance from the focus and its directrix.

Calculation:

In a parabola, eccentricity is 1.

Since the vertex of the parabola is (1,π2). So,

(r,θ)=(1,π2)

Now, put these values in the standard form of the equation of the parabola

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