Show that f(z)dr: S(#2-2) +4f(r2i-1) + f(#2)]- an"(c.)} m-1 h4 (0) +2f(2) + 4f(*2-1) + f(*) I80(6 - a)f(4)(c) i=1 i=1
Show that f(z)dr: S(#2-2) +4f(r2i-1) + f(#2)]- an"(c.)} m-1 h4 (0) +2f(2) + 4f(*2-1) + f(*) I80(6 - a)f(4)(c) i=1 i=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
Related questions
Question
![Simpson's Rule, we have
2
h
| = S (*0) + 4f(r1) + f(r2)]
90
20
where there are three nodes: To, 1;
and 12.
where c in (xo, r2).
Consider the composite Simpson's Rule using n = 2m, h = 4,
T; = a + ih, i = 0, 1, 2, .. , 2m.
%3!
Show that
m
f(x)dr = E (2-2) + 4f(#2i-1) + f(x2.)] –
90
i=1
m-1
= f (r0) + 2f(72.) + 4f(r2-1) + f(x)
180-
h4
3-a)f(4) (c)
i=1
i=1
The question of numerical integration based on interpolation. Thank you!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77285bc8-0a2e-4167-8a0c-57e44c45defb%2F138f7dac-5772-4a87-8ea3-beb0a800b0d1%2F96zesgo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Simpson's Rule, we have
2
h
| = S (*0) + 4f(r1) + f(r2)]
90
20
where there are three nodes: To, 1;
and 12.
where c in (xo, r2).
Consider the composite Simpson's Rule using n = 2m, h = 4,
T; = a + ih, i = 0, 1, 2, .. , 2m.
%3!
Show that
m
f(x)dr = E (2-2) + 4f(#2i-1) + f(x2.)] –
90
i=1
m-1
= f (r0) + 2f(72.) + 4f(r2-1) + f(x)
180-
h4
3-a)f(4) (c)
i=1
i=1
The question of numerical integration based on interpolation. Thank you!
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