   Chapter 12.2, Problem 46E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

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

# 39-56 Finding the Equation of an Ellipse Find an equation for the ellipse that satisfies the given conditions.46. Length of major axis: 6 , length of minor axis: 4 , foci on x -axis.

To determine

The equation for the ellipse for the given conditions.

Explanation

Given:

The length of major axis and minor axis of the ellipse are,

Length of major axis: 6.

Length of minor axis: 4.

Foci on x-axis.

Approach:

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

x2a2+y2b2=1

Where a and b are constant values.

Formula to find major axis,

MajorAxis=2a

Formula to find minor axis,

MinorAxis=2b

Calculation:

Compare the standard formula for length of the major axis and the given length of the major axis.

MajorAxis=2a=6

Thus,

2a=6a=62a=3.

Compare the standard formula for length of the minor axis and the given length of the minor axis.

MinorAxis=2b=4

Thus,

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