Homework Help is Here – Start Your Trial Now!
Math
Calculus
ellipse at (2, 1)_

ellipse at (2, 1)_

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
See similar textbooks
Question
1. The curve described by x² + 2xy + 4y² = 12 is an ellipse. (a) Verify that the point (2, 1) lies on the ellipse. (b) Find an equation for the line tangent to the ellipse at (2,1).
Transcribed Image Text:1. The curve described by x² + 2xy + 4y² = 12 is an ellipse. (a) Verify that the point (2, 1) lies on the ellipse. (b) Find an equation for the line tangent to the ellipse at (2,1).
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

a.

point ( 2 , 1 )

x = 2 , y = 1

Calculus homework question answer, step 1, image 2

Therefore point is on ellipse

steps

Step by step

Solved in 3 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
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
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS