Exercise 4 Suppose the following data points are generated by a smooth function f(x): 1/3 0.8105 Find the best approximation of S) dx using the composite Simpson's rule. 1/6 0.8339 1/2 0.7692 2/3 0.7075 5/6 0.6229 f(x) 0.8415 0.5144 0.7387 0.7147 0.6600 0.5109 Exercise

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 4
Suppose the following data points are generated by a smooth function f(x):
1/3
0.8105
Find the best approximation of f S) dx using the composite Simpson's rule.
1/6
0.8339
1/2
0.7692
2/3
0.7075
5/6
0.6229
fx) 0.8415
0.5144
O 0.7387
0.7147
0.6600
0.5109
Exercise 5
Transcribed Image Text:Exercise 4 Suppose the following data points are generated by a smooth function f(x): 1/3 0.8105 Find the best approximation of f S) dx using the composite Simpson's rule. 1/6 0.8339 1/2 0.7692 2/3 0.7075 5/6 0.6229 fx) 0.8415 0.5144 O 0.7387 0.7147 0.6600 0.5109 Exercise 5
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