Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Question

Chapter 10.3, Problem 12CFU

To determine

To write: The equation of the ellipse whose foci are located at (−1,0) and (1,0) and a=4

Expert Solution & Answer

Answer to Problem 12CFU

x216+y215=1

Explanation of Solution

Given information: foci are located at (−1,0) and (1,0) and a=4

Calculation:

Foci: (−1,0),(1,0) tells us that the major axis is horizontal and the center is at (0,0) . a=4 tells us the distance from the center to move left and right.

And

a2−b2=c2→16−b2=1b2=15

Equation is:

x216+y215=1

Additional note: The denominators are almost equal. That means this ellipse is very circular.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.3, Problem 12CFU

Chapter 10.3, Problem 11CFU

Chapter 10.3, Problem 13CFU

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

Ch. 10.1 - Prob. 11CFU Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.2 - Prob. 1CFU Ch. 10.2 - Prob. 2CFU Ch. 10.2 - Prob. 3CFU Ch. 10.2 - Prob. 4CFU Ch. 10.2 - Prob. 5CFU Ch. 10.2 - Prob. 6CFU Ch. 10.2 - Prob. 7CFU Ch. 10.2 - Prob. 8CFU Ch. 10.2 - Prob. 9CFU Ch. 10.2 - Prob. 10CFU Ch. 10.2 - Prob. 11CFU Ch. 10.2 - Prob. 12CFU Ch. 10.2 - Prob. 13CFU Ch. 10.2 - 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