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Question -- using newton forward interpolation formula , find the area of a circle of diameter 82 metre                                from the given table of diameter and area of circle. Diameter(metre)      80          85           90          95            100 Area(metre^2)      5026        5674      6362     7088         7854 code to solve the above question. #include<stdio.h> #include<math.h> main() { int i,j,a=0,n; float x[10],fx[10],delfx[10],result=0,point,f,h,p,fact=1.000; printf("\nthe point at which u want to calculate the value\n"); scanf("%f",&point); printf("\nenter the no of elements in x\n"); scanf("%d",&n); printf("enter the elements of x\n"); for(i=0;i<n;i++) scanf("%f",&x[i]); h=fabs(x[0]-x[1]); p=(point-x[0])/h; printf("\nthe value of p is %f\n",p); printf("enter the elements of f(x)\n"); for(i=0;i<n;i++) scanf("%f",

#define f(x) x*sin(x)+cos(x) #define df(x) sin(x)+x*cos(x)-sin(x) #include<stdio.h> # include<math.h>  main() { float i,a,b,c; for(i=0;;i++) { if(f(i)>0&&f(i+1)<0) { a=i;b=i+1;break;} if((f(i)<0)&&(f(i+1)>0)) { a=i+1;b=i;break;} } for(i=0;;i++) { if(f(b)>0&&df(b)<0) c=b+(f(b)/fabs(df(b))); if(f(b)<0&&df(b)>0) c=b+(fabs(f(b)/df(b))); if((f(b)>0&&df(b)>0)||(f(b)<0&&df(b)<0)) c=b-(fabs(f(b))/fabs(df(b))); if(fabs(c-b)<.00001) break; b=c; } printf("the root is %f",c); }