Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 1/3 2/3 f(x) Find the best approximation of S,f(x) dx using the composite Simpson's rule. 3.5403 3.9450 3.9450 3.5403 2.9043 2.3092 2.0100 O 4.7660 O 3.9284 O 2.5207 6.4919

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose the following data points are generated by a smooth function f(x):
-1
-2/3
3.9450
-1/3
1/3
2/3
2.3092
Find the best approximation of L,fx) dx using the composite Simpson's rule.
f(x).
3,5403
3.9450
3.5403
2.9043
2.0100
4.7660
3.9284
O 2.5207
6.4919
Transcribed Image Text:Suppose the following data points are generated by a smooth function f(x): -1 -2/3 3.9450 -1/3 1/3 2/3 2.3092 Find the best approximation of L,fx) dx using the composite Simpson's rule. f(x). 3,5403 3.9450 3.5403 2.9043 2.0100 4.7660 3.9284 O 2.5207 6.4919
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