Consider the following function: I = X f(x) The following table contains function values evaluated at several x points. X -2 -1.5 0 0.5 f(x) -29 0.8125 1 0.0625 [*(1-x - 4x³ + 2x³) dx -1 4 -0.5 1.9375 2.5 3 3.5 131.3125 376 876.4375 4 1789 1 -2 E. composite application of the Simpson's 1/3 rule using 6 segments F. single application of Simpson's 3/8 rule 1.5 1.1875 2 31 Evaluate f(x) for the following cases using pen and paper. Express your answers to 4 decimal places. A. analytically B. single application of the trapezoidal rule C. composite trapezoidal rule using 4 segments D. single application of the Simpson's 1/3 rule
Consider the following function: I = X f(x) The following table contains function values evaluated at several x points. X -2 -1.5 0 0.5 f(x) -29 0.8125 1 0.0625 [*(1-x - 4x³ + 2x³) dx -1 4 -0.5 1.9375 2.5 3 3.5 131.3125 376 876.4375 4 1789 1 -2 E. composite application of the Simpson's 1/3 rule using 6 segments F. single application of Simpson's 3/8 rule 1.5 1.1875 2 31 Evaluate f(x) for the following cases using pen and paper. Express your answers to 4 decimal places. A. analytically B. single application of the trapezoidal rule C. composite trapezoidal rule using 4 segments D. single application of the Simpson's 1/3 rule
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following function:
1 =
X
f(x)
La
-2
The following table contains function values evaluated at several x points.
X
-2
-1.5
0
0.5
f(x)
-29
0.8125
1
0.0625
-1
4
(1-x - 4x³ + 2x5) dx
-0.5
1.9375
2.5
3
3.5
131.3125 376 876.4375
4
1789
1
-2
1.5
1.1875
2
31
Evaluate f(x) for the following cases using pen and paper. Express your answers to 4 decimal places.
A. analytically
B. single application of the trapezoidal rule
C. composite trapezoidal rule using 4 segments
D. single application of the Simpson's 1/3 rule
E. composite application of the Simpson's 1/3 rule using 6 segments
F. single application of Simpson's 3/8 rule
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