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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

Find an equation of the parabola. Then find the focus and directrix.

9. Chapter 10.5, Problem 9E, Find an equation of the parabola. Then find the focus and directrix. 9.

To determine

To Find: The equation of the parabola, focus and the directrix by using figure (1).

Multivariable Calculus, Chapter 10.5, Problem 9E

Explanation

Given:

By referring the figure (1), we can find the value of vertex and point of the parabola,

Then the vertex is (0,0) and point of the parabola is (1,1) respectively.

Calculation:

By referring the figure (1) equation is to be,

y2=4px (1)

Substitute the value 1 for x and 1 for y in the equation (1).

12=4p×(1)1=4pp=14

Then, the focus of the graph is to be (p,0) .

Therefore, the focus of the parabola is (14,0)_

Compute the directrix of the parabola

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Chapter 10 Solutions

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