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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.

2. Parabola, directrix x = −3

To determine

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

Explanation

Given:

  1. (i) Parabola
  2. (ii) Directrix, x=3

Calculation:

The graph has shown the polar equation for the directrix and eccentricity in the below figure.

The above graph shows that the x and y coordinates. The figure shows the parabola curve acting in horizontal axis whose directrix is negative.

Using the theorem 6, the eccentricity value for the parabola will be 1.

The polar equation of a conic refers for the given Directrix is

r=ed1ecosθ (1)

Substitute 1 for e and 3 for d in the equation (1)

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Chapter 10 Solutions

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