Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Consider the rotated ellipse defined implicitly by the equation 132²-32zy +37y²-45. The quadratic form can be written as 12 VIA[+] - 12 VIPDPT [#] - [ VID["]. where P Hint: What is special about the columns of P? Can you use this to find the matrix D? Once you find D you can plug it into the equation above and perform matrix m a. Using the P defined above, find an equation for the ellipse in terms of u and t. Don't forget to enter the right-hand side too! b. Now drag the points to display the graph of your ellipse on the uv-axes below. to V

Consider the rotated ellipse defined implicitly by the equation 132²-32zy +37y²-45. The quadratic form can be written as 12 VIA[+] - 12 VIPDPT [#] - [ VID["]. where P Hint: What is special about the columns of P? Can you use this to find the matrix D? Once you find D you can plug it into the equation above and perform matrix m a. Using the P defined above, find an equation for the ellipse in terms of u and t. Don't forget to enter the right-hand side too! b. Now drag the points to display the graph of your ellipse on the uv-axes below. to V

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 22E
See similar textbooks
icon
Related questions
Question
c. Finally, give the (x, y) locations of the vertices you have just located. i. Convert the vertex on the u-axis to (x, y) coordinates. [:]- 8 ii. Convert the vertex on the v-axis to (x, y) coordinates.
Transcribed Image Text:c. Finally, give the (x, y) locations of the vertices you have just located. i. Convert the vertex on the u-axis to (x, y) coordinates. [:]- 8 ii. Convert the vertex on the v-axis to (x, y) coordinates.
Consider the rotated ellipse defined implicitly by the equation 132² 32zy +37y² = 45. The quadratic form can be written as 12 VIA[*]-12 VIPDPT [*] = { v]D["]. 一路 where P * Hint: What is special about the columns of P? Can you use this to find the matrix D? Once you find D you can plug it into the equation above and perform matrix m a. Using the P defined above, find an equation for the ellipse in terms of u and e. Don't forget to enter the right-hand side too! b. Now drag the points to display the graph of your ellipse on the up-axes below. V 3 -2 t-intercept u-intercept 3
Transcribed Image Text:Consider the rotated ellipse defined implicitly by the equation 132² 32zy +37y² = 45. The quadratic form can be written as 12 VIA[*]-12 VIPDPT [*] = { v]D["]. 一路 where P * Hint: What is special about the columns of P? Can you use this to find the matrix D? Once you find D you can plug it into the equation above and perform matrix m a. Using the P defined above, find an equation for the ellipse in terms of u and e. Don't forget to enter the right-hand side too! b. Now drag the points to display the graph of your ellipse on the up-axes below. V 3 -2 t-intercept u-intercept 3
Expert Solution
steps

Step by step

Solved in 3 steps with 1 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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS