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# Answer: Graphing ellipses Sketch the graph of the ISBN: 9780321570567 2

## Solution for problem 29E Chapter 10.4

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

##### ISBN: 9780321570567

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