Assignment
1
1. Evaluate
dx
 1  x , n=10 using Trapezoidal rule.
0
1
2. Evaluate
x 2 dx
0 1  x 3 , n=10 using Simpson’s one-third rule.


3. Evaluate sin x dx , n=9 using Simpson’s three-eighth rule.
0
1
4. Evaluate
dx
 1  x , n=6 using Weddle’s rule.
2
0
5. Find y (0) and y (0) from the following data:
x: 0
1
2
3
4
5
y: 4
8
15
7
6
2
6. Find y (10) and y (10) from the following data:
x: 2
y: 105
4
42.7
6
25.3
8
16.7
10
13
7. Find the first and second derivatives of the function tabulated below, at the point x=1.5
and x=4:
x
1.5
f(x) 3.375
2.0
7.000
2.5
13.625
3.0
24.000
3.5
38.875
4.0
59.000