Question

#5) (Please be as clear as possible in your answer and write as big as possible...


#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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