#include<iostream> #include<fstream> #include<math.h> #include<cmath> #include<bits/stdc++.h> using namespace std; int main() { double x[100],y[100][100],h,term,t,xr,sum; int i,n,j,k=0; char filename[20]; cout<<"Give me the name of the output file name:"; cin>>filename; ofstream f(filename); std::ifstream input("input.txt"); cout<<"Give me the value of x in sin x"; cin>>xr; while(!input.eof()) { k=k+1; input>>x[k]>>y[k][0]; } n=k-1; h=(x[2]-x[1]); t=(xr-x[1])/h; term=t; sum=y[1][0]; for(i=1;i<=n;++i) { cout<<x[i]<<"\t"<<y[i][0]<<"\n"; } for(i=1;i<=n;++i) { for(j=1;j<=n-i;++j) { y[j][i]=y[j+1][i-1]-y[j][i-1]; } } cout<<"The Difference Table is:\n"; f<<"The Difference Table is ::\n"; for(i=1;i<=n;++i) { cout<<setw(4...