Question

Write C code for the following:

Please type the code in the solution.

Also, please put the screenshot of the codes of the program being run successfully. Also, put the screenshot of the output from the computer screen.

I am getting many errors while trying to run the program. Screenshots of the program will help me.

Find all the roots using the Newton-Raphson method: 2 + sin(x) - 3x - x² = 0

Answer 1

/*Source code for New-Raphson to find the roots*/

#include<stdio.h>
#include<math.h>
#include<stdlib.h>
/*Function whose root is to be determined*/
#define    f(x)    3*x - cos(x) -1

/* Defining derivative of g(x).*/

#define   g(x)   3 + sin(x)
int main()
{
   float x0, x1, f0, f1, g0, e;
   int step = 1, N;
     /* Inputs */
   printf("\nEnter initial guess:\n");
   scanf("%f", &x0);
   printf("Enter tolerable error:\n");
   scanf("%f", &e);
   printf("Enter maximum iteration:\n");
   scanf("%d", &N);
   /* Implementing Newton Raphson Method */
   printf("\nStep\t\tx0\t\tf(x0)\t\tx1\t\tf(x1)\n");
   do
   {
          g0 = g(x0);
          f0 = f(x0);
          if(g0 == 0.0)
          {
               printf("Mathematical Error.");
               exit(0);
          }
          x1=x0-f0/g0;
          printf("%d\t\t%f\t%f\t%f\t%f\n",step,x0,f0,x1,f1);
          x0=x1;
          step=step+1;
          if(step>N)
          {
               printf("Not Convergent.");
               exit(0);
          }
          f1=f(x1);
   }while(fabs(f1)>e);
   printf("\nRoot is: %f", x1);
   return 0;
}

Screen shot of output: