Numerical Mathematics (Numerical Integration)
Mathematics
University
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4 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Use the function values in the following table and the Trapezoidal Rule with h=1 to approximate the integral from x=0 to x=6.
x: 0 1 2 3 4 5 6
f(x): 12 10 9 11 13 16 18
71
74
77
89
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Use the function values in the following table and the Trapezoidal Rule with h=2 to approximate the integral from x=0 to x=12.
x: 0 2 4 6 8 10 12
f(x): 7 11 20 25 18 14 9
96
102
190
192
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Use the function values in the following table and the Simpson 1/3rd Rule with h=2 to approximate the integral from x=0 to x=8.
x: 0 2 4 6 8
f(x): 6 13 20 22 25
140.67
140.57
140.68
140.58
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Use the function values in the following table and the Simpson 3/8th Rule with h=2 to approximate the integral from x=0 to x=8.
x: 0 2 4 6 8
f(x): 6 13 20 22 25
130.5
130.05
130.6
130.7
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