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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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Section
BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Find an equation for the conic that satisfies the given conditions.

34. Parabola, focus (2, −1), vertex (2, 3)

To determine

To Find: The equation for the conic using the vertex (2,3) and focus (2,1) of the parabola.

Explanation

Given:

The Vertex is (2,3) and focus is (2,1) of the parabola.

Calculation:

The value of x coordinate of vertex and focus are same, so the h value is 2 .

Compute the distance from the focus to the vertex.

p=focusofyaxisvertexofyaxis

Substitute 1 for focus of y axis and 3 for vertex of y axis in above equation.

p=13p=4

Compute the value of k using the below focus equation.

Focus=(h,k+p)(2,1)=(h,k+p)

The value of h=2 .

(k+p)=1 (1).

Substitute the value 4 for p in equation (1).

(k+(4))=1k=1+4k=3

The focus of the parabola is like (0,p)

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Chapter 10 Solutions

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P-52RECh-10 P-53RECh-10 P-54RECh-10 P-55RECh-10 P-56RECh-10 P-57RECh-10 P-58RECh-10 P-1PCh-10 P-2PCh-10 P-3PCh-10 P-4PCh-10 P-5PCh-10 P-6P

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