d) Write the equation of the function in the new coordinate system. e) Identify the type of conic or quadric surface described by the equation. Calculate the angle of rotation in degrees. f) 2. x² +24xy + 8y² + 5px + 10qy - 7 = 0
d) Write the equation of the function in the new coordinate system. e) Identify the type of conic or quadric surface described by the equation. Calculate the angle of rotation in degrees. f) 2. x² +24xy + 8y² + 5px + 10qy - 7 = 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
Related questions
Question
Parts D, E, and F. I attached a photo od the answers to the first three parts.

Transcribed Image Text:For each quadratic function
a) State the matrix of the quadratic form associated with the given equation.
b) Determine the eigenvalues of the matrix.
c) Construct an orthogonal matrix P with |P| = 1 that diagonalizes your matrix from a).
d) Write the equation of the function in the new coordinate system.
e) Identify the type of conic or quadric surface described by the equation.
f) Calculate the angle of rotation in degrees.
2. x² + 24xy + 8y² + 5px + 10qy - 7 = 0
![Part 3
25
978
b)
=>
=
·24 xy - 8y², 5px +10ay-700
A = [ 9 ] [ in
and 17
[-] eiser for 2018
vectr
S
12
8-
-4.
ulf u/w
6
12
-4/5
3/5
(1-2)(8-2)-144-0
7²-92-1300
(2+8)(2-17)=0
**[AR] ][ #]
PTAP=
12
ç
3/5
4/5
3/5
3 -4
2=-8
[4] For
12
E3
12
For 7=17
+25
7 = 17
4 3
25
[3388]
12. х-чусо
4v-3y=0
[2] =
7/4y
42.3
9x+12y=0
x=y
O
- 200
[58]
O
y=40
12x414y=0
22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24638e23-7712-442e-8ea2-f441f488d4c1%2Fd5b44c62-3a65-42b5-be4d-5634836bb17b%2F6ew91wq_processed.png&w=3840&q=75)
Transcribed Image Text:Part 3
25
978
b)
=>
=
·24 xy - 8y², 5px +10ay-700
A = [ 9 ] [ in
and 17
[-] eiser for 2018
vectr
S
12
8-
-4.
ulf u/w
6
12
-4/5
3/5
(1-2)(8-2)-144-0
7²-92-1300
(2+8)(2-17)=0
**[AR] ][ #]
PTAP=
12
ç
3/5
4/5
3/5
3 -4
2=-8
[4] For
12
E3
12
For 7=17
+25
7 = 17
4 3
25
[3388]
12. х-чусо
4v-3y=0
[2] =
7/4y
42.3
9x+12y=0
x=y
O
- 200
[58]
O
y=40
12x414y=0
22
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images

Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage

Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
