Chapter 10.6, Problem 40E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
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 ( 5 , π )

To determine

To calculate: The polar form of the equation for the parabola having its focus at the pole and the vertex (5,π).

Explanation

Given:

The conic is parabola having its vertex (5,Ï€).

Formula used:

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

r=ed1âˆ’ecosÎ¸

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 (5,Ï€). So,

(r,Î¸)=(5,Ï€)

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

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