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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

37-42 ■ Finding the Equation of a Conic Find an equation for the conic whose graph is shown

Chapter 12.CR, Problem 41E, 37-42  Finding the Equation of a ConicFind an equation for the conic whose graph is shown

To determine

To find:

The equation for the conic whose graph is given.

Explanation

Given:

Figure 1

Approach:

Draw the major and minor axes of the given ellipse figure. Intersection point of the major and minor axes, is the center of the ellipse and from the length of the major and minor axes, value of a and b can be found.

Calculation:

Draw the major and minor axes of the given ellipse figure as shown below,

Figure 2

From the figure, the intersection point of major and minor axes is (4,2). Since the intersection point of the major and minor axes, is the center of the ellipse. So center (h,k)=(4,2)

The graph is of horizontal ellipse, and the length of major axis is 2a=8 and the length of minor axis is 2b=4. So a=4 and b=2

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