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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.

7. Parabola, vertex (3, π/2)

To determine

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

Explanation

Given:

  1. (i) Parabola
  2. (ii) Vertex (3,π2)

Calculation:

The curve lies in the vertical direction which is parabola curve. Thus, the eccentricity for the parabola is 1 and the Directrix will be positive value.

Therefore, the polar equation for the parabola curve is

r=ed1+sinθ (1)

Calculate the value of Directrix, d.

Substitute 1 for e, π2 for θ and 3 for r in the equation (1).

r=ed1+sinθ3=1d1+sinπ23=d1+

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Chapter 10 Solutions

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