3. Given the equation -5x+4y² 30x - 24y+ 11 = 0, - a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from the given equation; b) Identify the conic section corresponding to the equation obtained in item (3a); c) Find the main elements of the conic section from item (3b); d) Sketch the graph of the conic section from item (3b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
Question
3. Given the equation
-5x+4y² 30x - 24y+ 11 = 0,
-
a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from
the given equation;
b) Identify the conic section corresponding to the equation obtained in item (3a);
c) Find the main elements of the conic section from item (3b);
d) Sketch the graph of the conic section from item (3b).
Transcribed Image Text:3. Given the equation -5x+4y² 30x - 24y+ 11 = 0, - a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from the given equation; b) Identify the conic section corresponding to the equation obtained in item (3a); c) Find the main elements of the conic section from item (3b); d) Sketch the graph of the conic section from item (3b).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning