Gaussian quadrature: Find the first three monic polynomials (i.e., till quadratic) on [0, 1] orthogonal with respect to he inner product (1₁9) = So √1² fr Use the above to find a quadrature formula of the form IV that is exact for all f(x) of degree 3. = f(x)g(x)dx <-2 n = f(x)dx = [a;f(x₁) i=0
Gaussian quadrature: Find the first three monic polynomials (i.e., till quadratic) on [0, 1] orthogonal with respect to he inner product (1₁9) = So √1² fr Use the above to find a quadrature formula of the form IV that is exact for all f(x) of degree 3. = f(x)g(x)dx <-2 n = f(x)dx = [a;f(x₁) i=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve part B
use the above to find a quadrature formula of the form
Please solve second part
![Gaussian quadrature:
Find the first three monic polynomials (i.e., till quadratic) on [0, 1] orthogonal with respect
to he inner product
(f, 9) =
f(x)g(r)dr
VI
- T
Use the above to find a quadrature formula of the form
1
n
f(x)dr = a:f(x;)
i=0
that is exact for all f(x) of degree 3.
æ sin(x)
dx
V1- 12
Use the above to evaluate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97c128c5-ad98-4a67-a64a-1a631e9b7f3f%2F97f1390b-e292-43c9-8837-1d048e344758%2Fjuyzg9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Gaussian quadrature:
Find the first three monic polynomials (i.e., till quadratic) on [0, 1] orthogonal with respect
to he inner product
(f, 9) =
f(x)g(r)dr
VI
- T
Use the above to find a quadrature formula of the form
1
n
f(x)dr = a:f(x;)
i=0
that is exact for all f(x) of degree 3.
æ sin(x)
dx
V1- 12
Use the above to evaluate
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