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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

SKILLS

3-10 Finding a Polar Equation for a Conic Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions.

Hyperbola, eccentricity 4 3 , directrix x = 3

To determine

The polar equation of a hyperbola.

Explanation

Given:

The eccentricity and directrix of the hyperbola is as follows.

e=43 and x=3.

Approach:

Since the directrix is d=3, it is to the left of the focus. Thus the polar equation of hyperbola is r=ed1ecosθ(1)

Calculation:

Substituting 43 for e and 3 for d in equation (1) as follows.

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