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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Write a polar equation of a conic with the focus at the origin and the given data.

8. Hyperbola, eccentricity 2, directrix r = −2 sec θ

To determine

To find: The polar equation of a conic with the focus and origin.

Explanation

Given:

  1. (i) Hyperbola
  2. (ii) Eccentricity 2
  3. (iii) Directrix r=2secθ

Calculation:

Determine the equation of Directrix from the given equation.

r=2secθ=2(1cosθ)(sec=1cos)r=2

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