Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
4th Edition
ISBN: 9780133178579
Author: Ross L. Finney
Publisher: PEARSON
Question
Book Icon
Chapter A5.2, Problem 15E
To determine

To find: the foci, eccentricity and directrix of ellipse

Expert Solution & Answer
Check Mark

Answer to Problem 15E

Eccentricity is e=54

Foci is [F=(±5,0)]

Directrixis x=0±165

Explanation of Solution

Given:

  9x216y2=144,

Calculation:

Given with the equation of hyperbola as

  9x216y2=144,

which could also be written as x216y29=1

The parameters of hyperbola can be calculated as:

  c =a2+b2=16+9=5

Eccentricity e=ca therefore,

  e=54

Asymptotes of the hyperbola can be calculated as y=±34x

Focus [F=(±5,0)]

Directrixis x=0±165

Conclusion:

Eccentricity is e=54

Foci is [F=(±5,0)]

Directrixis x=0±165

Chapter A5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. A5.1 - Prob. 11ECh. A5.1 - Prob. 12ECh. A5.1 - Prob. 13ECh. A5.1 - Prob. 14ECh. A5.1 - Prob. 15ECh. A5.1 - Prob. 16ECh. A5.1 - Prob. 17ECh. A5.1 - Prob. 18ECh. A5.1 - Prob. 19ECh. A5.1 - Prob. 20ECh. A5.1 - Prob. 21ECh. A5.1 - Prob. 22ECh. A5.1 - Prob. 23ECh. A5.1 - Prob. 24ECh. A5.1 - Prob. 25ECh. A5.1 - Prob. 26ECh. A5.1 - Prob. 27ECh. A5.1 - Prob. 28ECh. A5.1 - Prob. 29ECh. A5.1 - Prob. 30ECh. A5.1 - Prob. 31ECh. A5.1 - Prob. 32ECh. A5.1 - Prob. 33ECh. A5.1 - Prob. 34ECh. A5.1 - Prob. 35ECh. A5.1 - Prob. 36ECh. A5.1 - Prob. 37ECh. A5.1 - Prob. 38ECh. A5.1 - Prob. 39ECh. A5.1 - Prob. 40ECh. A5.1 - Prob. 41ECh. A5.1 - Prob. 42ECh. A5.1 - Prob. 43ECh. A5.1 - Prob. 44ECh. A5.1 - Prob. 45ECh. A5.1 - Prob. 46ECh. A5.2 - Prob. 1ECh. A5.2 - Prob. 2ECh. A5.2 - Prob. 3ECh. A5.2 - Prob. 4ECh. A5.2 - Prob. 5ECh. A5.2 - Prob. 6ECh. A5.2 - Prob. 7ECh. A5.2 - Prob. 8ECh. A5.2 - Prob. 9ECh. A5.2 - Prob. 10ECh. A5.2 - Prob. 11ECh. A5.2 - Prob. 12ECh. A5.2 - Prob. 13ECh. A5.2 - Prob. 14ECh. A5.2 - Prob. 15ECh. A5.2 - Prob. 16ECh. A5.2 - Prob. 17ECh. A5.2 - Prob. 18ECh. A5.2 - Prob. 19ECh. A5.2 - Prob. 20ECh. A5.2 - Prob. 21ECh. A5.2 - Prob. 22ECh. A5.2 - Prob. 23ECh. A5.2 - Prob. 24ECh. A5.2 - Prob. 25ECh. A5.2 - Prob. 26ECh. A5.2 - Prob. 27ECh. A5.2 - Prob. 28ECh. A5.3 - Prob. 1ECh. A5.3 - Prob. 2ECh. A5.3 - Prob. 3ECh. A5.3 - Prob. 4ECh. A5.3 - Prob. 5ECh. A5.3 - Prob. 6ECh. A5.3 - Prob. 7ECh. A5.3 - Prob. 8ECh. A5.3 - Prob. 9ECh. A5.3 - Prob. 10ECh. A5.3 - Prob. 11ECh. A5.3 - Prob. 12ECh. A5.3 - Prob. 13ECh. A5.3 - Prob. 14ECh. A5.3 - Prob. 15ECh. A5.3 - Prob. 16ECh. A5.3 - Prob. 17ECh. A5.3 - Prob. 18ECh. A5.3 - Prob. 19ECh. A5.3 - Prob. 20ECh. A5.3 - Prob. 21ECh. A5.3 - Prob. 22ECh. A5.3 - Prob. 23ECh. A5.3 - Prob. 24ECh. A5.3 - Prob. 25ECh. A5.3 - Prob. 26ECh. A5.3 - Prob. 27ECh. A5.3 - Prob. 28ECh. A5.3 - Prob. 29ECh. A5.3 - Prob. 30ECh. A5.3 - Prob. 31ECh. A5.3 - Prob. 32ECh. A5.3 - Prob. 33ECh. A5.3 - Prob. 34ECh. A5.3 - Prob. 35ECh. A5.3 - Prob. 36ECh. A5.3 - Prob. 37ECh. A5.3 - Prob. 38ECh. A5.3 - Prob. 39ECh. A5.3 - Prob. 40ECh. A5.3 - Prob. 41ECh. A5.3 - Prob. 42ECh. A5.3 - Prob. 43ECh. A5.3 - Prob. 44ECh. A5.3 - Prob. 45ECh. A5.3 - Prob. 46E
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning