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 11E
To determine

whether the given equations represent parabolas, ellipses, or hyperbolas.

Expert Solution & Answer
Check Mark

Answer to Problem 11E

Since D>0 , the given curve represents a hyperbola.

Explanation of Solution

Given:

  3x25xy+2y27x14y=1

Formula Used:

The formula used for discriminant is

  B24AC

Calculation:

given the following equation:

  3x25xy+2y27x14y=1

Comparing with the standard equation for a Quadratic Curve,

  Ax2+Bxy+Cy2+Dx+Ey+F=0

Thus,

  A=3, B=5, C=2

Now, discriminant D=B24AC

  =(5)24(3)(2)=1

Since D>0 , the given curve represents a hyperbola.

Conclusion:

Since D>0 , the given curve represents a hyperbola.

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

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