   Chapter 12.2, Problem 35E ### 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

# 35-38 Graphing Ellipses Use a graphing device to graph the ellipse. x 2 25 + y 2 20 = 1 .

To determine

To sketch:

A graph of the given equation of the ellipse.

Explanation

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.

Expression to find Foci is,

F=(±c,0),

Where, c2=a2b2

Formula to find major axis,

MajorAxis=2a

Formula to find minor axis,

MinorAxis=2b

Calculation:

Consider the given equation of the ellipse,

x225+y220=1

Compare the above equation with the basic equation for an ellipse and find the vertices as follows,

a2=25a=±5

And

b2=20b=±20

Calculate the value of c as follows,

c2=a2b2c2=2520c2=5c=±5

Find the foci,

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