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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Exercise 4 *
Suppose the following data points are generated by a smooth function f(x):
1/6
1/3
1/2
2/3
5/6
1
f(x) | 0.8415
Find the best approximation of f(x) dx using the composite Simpson's rule.
0.8339
0.8105
0.7692
0.7075
0.6229
0.5144
0.7387
0.7147
0.6600
0.5109
O O
Transcribed Image Text:Exercise 4 * Suppose the following data points are generated by a smooth function f(x): 1/6 1/3 1/2 2/3 5/6 1 f(x) | 0.8415 Find the best approximation of f(x) dx using the composite Simpson's rule. 0.8339 0.8105 0.7692 0.7075 0.6229 0.5144 0.7387 0.7147 0.6600 0.5109 O O
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