#5) (Please be as clear as possible in your answer and
write as big as possible so the answer is easily
visible)
a) The following table gives the values of a function f(x) at a certain number of equidistant points on the x-axis. From the data supplied, calculate approximate values of by using each of the following rules: (Give the explicit formula/definition for each of the rules, before applying them)
(i) The Trapezoid Rule and (ii) Simpson's Rule.
x = |
0.0 |
0.2 |
0.4 |
0.6 |
0.8 |
1.0 |
1.2 |
1.4 |
1.6 |
1.8 |
2.0 |
f (x) = |
2.7 |
2.1 |
2.3 |
1.7 |
2.2 |
2.9 |
3.1 |
3.4 |
3.9 |
4.9 |
8.7 |
b) Use the Midpoint Rule to find the approximation to 6 decimal places.
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