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..
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
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
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
