Numerical Methods

Appendix: Model Question Papers

Model Paper I

1.

1. Determine f (x) as a polynomial in x for the following data:
   
2. Fit a parabola y = a + bx + x² to the following data:
   

2.

1. Find by Newton-Raphson method, the real root of the equation

    

   3x = cos x + 1.

    

2. Apply Muller’s method to find a root of the equation

    

   x³ − x² − x − 1 = 0.

3.

1. Solve the equations by Gauss-Seidel’s method:

    

           20x + y − 2z = 17,

           3x + 20y − z = −18,

           2x − 3y + 20z = 25.

    

2. Solve by Gauss-Jordan method

    

           x + y + z = 9

           2x − 3y + 4z