3a. Use the procedures discussed in the text with the above polynomials orthogonal on the interval [0,Ax] to find zeroth, first, and second moments for the function f(x) = exp[3x/(2A)]-1 with Ax = 2. 30. Compare your result to the second order Taylor's series expanded Tom x = 1. Check values compared to the original function at x = 0 and x = 2. %3D %3D
3a. Use the procedures discussed in the text with the above polynomials orthogonal on the interval [0,Ax] to find zeroth, first, and second moments for the function f(x) = exp[3x/(2A)]-1 with Ax = 2. 30. Compare your result to the second order Taylor's series expanded Tom x = 1. Check values compared to the original function at x = 0 and x = 2. %3D %3D
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 solve 3(b)
![LLE
Given that:
392
f(x) =a,P, (x) = a,Po +a‚P¸ + a,P, +..
u
0=u
on [A,B]
V=012 MCR
MNC K) 80 p
With moments
tguone doi
si sislnani
B.
c[f(x)P,dx
B.
-1
xp"d(x)f | "ɔ|= "p
A
tombe
Using the interval [0, Ax] with the Gram-Schmidt procedures/
A
xp (x)"d
to courio
G cou
Weierstrass's Theorem, it can be shown that:
pai soshoa toob ommi
gooL
P(x)%31 ot li 1oob sdi lo l bne Ariannib sdi snimsisd
I = (x)'J
dason vlolo O olds od Sum
1.
ounib sdi snimsis
od bresl
12
1oob off lo bns
1.000 1 mimixsm
X =
%3D
2.
= 15
Ar?
P,(x)%3DX²- x Ar+:
180
%D
.5
9 He Ednsnou on
3a. Use the procedures discussed in the text with the above polynomials
orthogonal on the interval [0,Ax] to find zeroth, first, and second
moments for the function f(x) = exp[3x/(2Ax)]-1 with Ax = 2.
Axoubno Issli 0-S C
5SD H
30. Compare your result to the second order Taylor's series expanded
from x = 1. Check values compared to the original function at x = 0 and
from
X = 2.
012
%3D
032
500](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe8c9b9a-f829-4303-ab7a-e1d5c3940c74%2F79f043ca-abec-4425-9744-9ab3ac826c58%2Fr3hgj8e.jpeg&w=3840&q=75)
Transcribed Image Text:LLE
Given that:
392
f(x) =a,P, (x) = a,Po +a‚P¸ + a,P, +..
u
0=u
on [A,B]
V=012 MCR
MNC K) 80 p
With moments
tguone doi
si sislnani
B.
c[f(x)P,dx
B.
-1
xp"d(x)f | "ɔ|= "p
A
tombe
Using the interval [0, Ax] with the Gram-Schmidt procedures/
A
xp (x)"d
to courio
G cou
Weierstrass's Theorem, it can be shown that:
pai soshoa toob ommi
gooL
P(x)%31 ot li 1oob sdi lo l bne Ariannib sdi snimsisd
I = (x)'J
dason vlolo O olds od Sum
1.
ounib sdi snimsis
od bresl
12
1oob off lo bns
1.000 1 mimixsm
X =
%3D
2.
= 15
Ar?
P,(x)%3DX²- x Ar+:
180
%D
.5
9 He Ednsnou on
3a. Use the procedures discussed in the text with the above polynomials
orthogonal on the interval [0,Ax] to find zeroth, first, and second
moments for the function f(x) = exp[3x/(2Ax)]-1 with Ax = 2.
Axoubno Issli 0-S C
5SD H
30. Compare your result to the second order Taylor's series expanded
from x = 1. Check values compared to the original function at x = 0 and
from
X = 2.
012
%3D
032
500
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
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,
