Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1 ≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. + 1 0 1 √2 √3² 2 -1 b₁ 1 2 ao 1 -1 ao a dx = ao = -1 Orthogonalize function ao to a₁ + b₁x: ao (a₁ + b₁x) dx = a1 = Review | Constants | Periodic Table Next, normalize a₁ + b₁x: 1 (b₁x)²dx: (2a₁) =
Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1 ≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. + 1 0 1 √2 √3² 2 -1 b₁ 1 2 ao 1 -1 ao a dx = ao = -1 Orthogonalize function ao to a₁ + b₁x: ao (a₁ + b₁x) dx = a1 = Review | Constants | Periodic Table Next, normalize a₁ + b₁x: 1 (b₁x)²dx: (2a₁) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please answer with details..
![Make the three polynomial functions ao, a₁ + b₁x,
and a2 + b₂x + C₂x² orthonormal in the interval
−1≤ x ≤ +1.
Part A
Determine appropriate values for the constants ao, a₁, and b₁.
Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each
equation is complete before submitting your answer.
t
1
0
√2
-1
b₁
±
2
ao
ao
a1
ao ao dx
Orthogonalize function ao to a₁ + b₁x:
1
[a₁(a₁ + b₁x) dx =
-1
||
Next, normalize a₁ + b₁x:
1
[(b₁r) ² da
b₁
Review | Constants I Periodic Table
=
(2a₁)=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa93ff2f-dc04-4549-9d2f-0f80a4020e3f%2Ff3c55297-e221-4c1b-981f-ae188ba8815f%2Fyws6qmq_processed.png&w=3840&q=75)
Transcribed Image Text:Make the three polynomial functions ao, a₁ + b₁x,
and a2 + b₂x + C₂x² orthonormal in the interval
−1≤ x ≤ +1.
Part A
Determine appropriate values for the constants ao, a₁, and b₁.
Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each
equation is complete before submitting your answer.
t
1
0
√2
-1
b₁
±
2
ao
ao
a1
ao ao dx
Orthogonalize function ao to a₁ + b₁x:
1
[a₁(a₁ + b₁x) dx =
-1
||
Next, normalize a₁ + b₁x:
1
[(b₁r) ² da
b₁
Review | Constants I Periodic Table
=
(2a₁)=
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)