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Answer: Graphing ellipses Sketch the graph of the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 29E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 29E

Graphing ellipses Sketch the graph of the following ellipses. Plot and label the coordinates of the vertices and foci, and find the lengths of the major and minor axes. Use a graphing utility to check your work.

Step-by-Step Solution:

Solution 29E

Step 1:

In this problem we need to Plot and label the coordinates of the vertices and foci of the ellipse  and we have to find the lengths of the major and minor axes.

The standard equation of the ellipse with center (0,0) and major axis on the y-axis is where a>b

Here we have

Vertices of the ellipse:

Therefore the coordinates of the ellipse is

Foci of the ellipse: where

Therefore the foci of the ellipse is

Step 2:

The graph of the ellipse with coordinates of the vertices and foci is drawn below

Step 2 of 2

Chapter 10.4, Problem 29E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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