Question

45-3. Modify the code used in Example 4 to find the root only at f(x)<0.01 using Newton-Rephson Method without showing any iteration. Also find the root of equation, f(x) = x 9-3x -10, take initial guess, Xo=2

Answer 1

Vo)) LTE 46 19% 12:00 MATLAB Drive nu.m n = 2 f = @(x) x^5 -3*x-10; 3 fd = @(x) 5*x^4-3; 4 po = input('Enter initial approximaation: '); 5 input('Enter no. of iterations, n: '); 6 tol = input('Enter tolerance, tol: 7 i 1; 8 while i <= n 9 d=f(po/fd (po); 10 ро po - d; 11 if abs (d) < tol 12 fprintf('\nApproximate solution x= %11.8f \n\n',po); 13 14 15 break; 16 else 17 i i+1; 18 end 19 end

Vo)) 4G LTE ml 19% 0 12:00 >> nu Enter initial approximaation: 2 Enter no. of iterations, n: 100 Enter tolerance, tol: 0.0001 Approximate solution x= 1.72260032 >>
matlab code:

f = @(x) x^5-3*x-10;
fd = @(x) 5*x^4-3;
p0 = input('Enter initial approximaation: ');
n = input('Enter no. of iterations, n: ');
tol = input('Enter tolerance, tol: ');
i = 1;
while i <= n
    d=f(p0)/fd(p0);
    p0 = p0 - d;
    if abs(d) < tol
       fprintf('\nApproximate solution x= %11.8f \n\n',p0);

       break;
    else
       i = i+1;
    end
end