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Question 45: Write a C++ program to find a real root of the equation f(x) = 4x + sin x 5* = 0 using the Fixed-Point Iteration method. Take x = 900) =(* - sinx) and X, = 0 as an initial approximation. The iterations of the method should stop when either the approximation is accurate within 10-5, or the number of iterations exceeds 100, whichever happens first #include #include using namespace std; #define TOL 0.000001 #define N 100 // error tolerance // maximum number of iterations int main() intk; double x0, xp, xn, err; cout> XO; xn = 0; 11 Processing Section for (k=1; k #include somath> using namespace std; #define TOL O.COOOD! #define N 100 Il crror Calcranes // mecimum number of arabera Int main() 1 Intk double xD, xn, xp, fxo, fx, xn, per: cout>e: cin>> Processing Section on-bi tx0 - 40 + sin(xD) - EXP(XD): txi - 4x1 + sin(x1) - exp(x1); // Evaluating fpx) at xo // Evaluating fx at x1 for(-2; k -- Dan - 4x + sin(x) - expcxn): err - abs(xn - Xp/absen); // Errer- cout #include using namespace std; #define TOL 0.000001 #define N 100 // error tolerance // maximum number of iterations int main() int k ; double x0, x1, xn, xp, fxo, fx1, fxn, fxp , err; cout> a; cin>>b; // -- Processing Section --// xn = b; x0 = a; x1 = b; fx0 = 4*x0 + sin(x0) - exp(x0); fx1 = 4*x1 + sin(x1) - exp(x1); // Evaluating f(x) atxo // Evaluating f(x) at x1 for (k=2; k #include $using\; namespace\; std;\; \#\; define\; TOL\; 0.000001\; \#\; define\; N\; 100\; //\; error\; tolerance\; //\; maximum\; number\; of\; iterations\; int\; main()\; \{\; int\; k\; ;\; double\; x0,\; x1,\; xn,\; xp,\; fxo,\; fx1,\; fxn\; ,\; fxp\; ,\; err;\; cout>a;\; cin>>b;\; 11-\; Processing\; Section\; xn\; =\; b;\; x0\; =\; a;\; x1\; =\; b;\; fx0\; =\; 4*x0\; +\; sin(x0)\; -\; exp(x0);\; fx1\; =\; 4*x1\; +\; sin(x1)\; -\; exp(x1);\; //\; Evaluating\; f(x)\; at\; xo\; //\; Evaluating\; f(x)\; at\; xa\; for\; (k=2;\; k$