ACME Engineering College, Sitapaila, Kathmandu Prepared by: Er. Krishna Gaihre

Prepared by: Er. Krishna Gaihre

Numerical Method Assessment Set-A Civil B-III/I F.M: 20

Attempt any .. question. Each Question Carry Equal Marks. Time: - 1: hr. P.M: 8

1. Solve x-x-2=0 by using secant method, correct up to 4 decimal places. 2. Fit the Parabola to the following set of data,

x 2 4 6 8

y 25 38 56 84

3. Find the value of Cos(1.78) from following table

x 1.7 1.74 1.78 1.82 1.86

Sin x 0.9916 0.9857 0.9781 0.9691 0.9584

4. Evaluate the integral (

)

1

0.5dx using Romberg Integration Method.

5. Use Gauss elimination method to solve the equation

4X1+5X2-6X3=28

2X1-7X3=29

-5X1-8X2=-64 Use partial pivoting method.

Numerical Method Assessment Set -B Time: - 1:.. hr. F.M:20 P.M: 8 Attempt any question. Each Question Carry Equal Marks.

1. Solve X-X-2=0, by using N-R Method , Correct up to 4 decimal places. 2. Using Newtons divided difference formula evaluate F(8) and F(15)

X 4 5 7 10 11 13

F(x) 48 100 294 900 1210 2028

3. Find the missing values using interpolation.

X 0 1 2 3 4

Y 1 3 9 ? 81

4. Evaluate the integral I= sin 1.5

0 , compare absolute error in both condition for Simpson

1/3rd and 3/8 rule.

5. Evaluate ( + 2 + 1)/(1 + (( + 1)2) )2

0 dx, by using Gaussian Integration of 2 point and 3

point formula.