   Chapter 10.6, Problem 9E

Chapter
Section
Textbook Problem

# (a) Find the eccentricity, (b) identify the conic, (c) give an equation of the directrix, and (d) sketch the conic.9. r = 4 5 − 4 sin θ

(a)

To determine

To find: The eccentricity for the given equation.

Explanation

Given:

The given polar equation is r=454sinθ

Calculation:

Calculate the eccentricity for the given equation.

The polar equation for the given equation will be either r=ed1±esinθorr=ed1±ecosθ

To make the given equation to polar equation, divide the given equation by 5

(b)

To determine

To identify: The shape of conic.

(c)

To determine

To find: The equation of directrix.

(d)

To determine

To draw: The conic.

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