   Chapter 10.6, Problem 20E

Chapter
Section
Textbook Problem

# Identifying and Sketching a Conic In Exercises 13–22, find the eccentricity and the distance from the pole to the directrix of the conic. Then identify the conic and sketch its graph. Use a graphing utility to confirm your results. r = − 6 3 + 7 sin θ

To determine

To calculate: The eccentricity and the distance from the pole to the directrix of the conic.

Identify the conic and sketch its graph. Then, use a graphing utility to confirm the results.

Explanation

Given:

r=63+7sinθ

Formula used:

Calculation:

The given conic can be rewritten as:

r=63+7sinθr=63(1+73sinθ)r=63(1+73sinθ)

Multiplying and dividing the numerator by 7.

r=63×77(1+73sinθ)

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