Posted by 413 on Tuesday, October 24, 2006 at 8:26pm.
Is the simpson's rule always more accurate than the midpoint rule and trapezoidal rule?
Not always; it is possible that the midpoint and/or trapezoidal rule determine exact values.
1. Some functions values for a function f are given below.
x 0 0.5 1.0
f(x) 3 4 11
What is the value of the estimate S1 to
çf (x) dx
(a) 6 b) 5 c) 15/2 (d) 22/3
2. Some functions values for a function f are given below.
x 0 0.5 1.0 1.5 2.0
f(x) 3 4 11 20 30
With these values only which of the following estimates to
çf (x) dx is it possible to
(a) S1 and S2 only (b) S1 only
(c) S1, S2 and S4 (d) It isnft possible to calculate any
Simpsonfs Rule estimates.
3. Some functions values for a function f are given below.
x 11 13 15
f(x) 0.5 a 1.5
If the value of the S1 approximation to
ç f (x) dx is 4, what is the value of
(a) 1.5 (b) 1.75
(c) 1.25 (d) 1
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