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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

29-34 Finding the Equation of an Ellipse Find an equation for the ellipse whose graph is shown.

Chapter 12.2, Problem 31E, 29-34 Finding the Equation of an Ellipse Find an equation for the ellipse whose graph is shown.

To determine

The equation for the ellipse given in graph.

Explanation

Given:

The given graph of an ellipse is,

Figure (1)

From the graph,

Foci is,

F(0,2).

The value of b is,

b=2.

Approach:

The basic equation for an ellipse with a vertical major axis which is used is as follows,

x2b2+y2a2=1

Where a and b are constant values.

Expression to find Foci is,

F=(0,±c),

Where, c2=a2b2

Calculation:

Compare the foci of an ellipse with the standard equation of foci,

(0,±c)=(0,2)c=2

As, c2=a2b2

Substitute 2 for c and 2 for b in the above relation.

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Chapter 12 Solutions

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