19. use lagrange s interpolation formula to find (x) when x =0 from the following table x -1 4 9 11 69 20. solve the following system of equations by gaussian e

19. Use Lagrange s interpolation formula to find (X) when x =0 from the following table X -1 4 9 11 69 20. Solve the following system of equations by Gaussian elimination method. 3x+2y +z = 10. 2.x+3y +2z = 14, x+2y +3x =14 21. Solve the following by Eyler's modified method. log(x+y), y(0) = 2, at x =1.4 with h=0.2 dy dx 22. Solve the following system by Gauss Seidal method. 20x+5y-2z = 14, 3x+10y+z =17, x-4y +10z =23 23. Solve the following systems of equation by Gauss-Jacobi's iteration mehtod. 4x+0.24y +0.08z = 8,0.09x +3y-0.15z 9,0.04x -0.08y +4z = 20 24. Find by power method, the numerically largest eigen value and the corresponding eigen vector of the folloWing matrix 1 3 2 -10 2 25. Find the value of e when x 0.612 using Newton's forward difference method. 0.61 0.62 0.63 0.64 0.65 1.84043 1 1.858928 1.877610 1.896481 1.915541 26. The distance (d) that a car has travelled at time () is given below Time (0 2 0.63 0.64 0.65 Distance (d) 40 160 300 380