Chapter 10.6, Problem 36E

### 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 33-38, Find a polar equation for the conic with its focus at the pole and the giveneccentricity and directrix, (For convenience, the equation for the directrix is given in rectangular form)Conic Eccentricity DirectrixEllipse e = 5 6 y = − 2

To determine

To calculate: The polar equation for the ellipse having its focus at the pole and the eccentricity e=56 and the equation of directrix y=2.

Explanation

Given:

The conic is ellipse having

The eccentricity is e=56.

And the equation of directrix is y=âˆ’2.

Formula used:

The polar form of the equation of the ellipse having its focus at the pole is:

r=ed1âˆ’esinÎ¸

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

The standard equation of directrix is y=âˆ’d.

Calculation:

The equation for directrix is y=âˆ’2

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