please use MATLAB!!!!!please use MATLAB!!!!!please use MATLAB!!!!!please use MATLAB!!!!!

please provide a neatly code!!!!!

please provide detailed explanation!!!

Solve f(x)=x7cos(x)=0 using the inverse quadratic interpolation method (IQIM) and output the solution " x ". Given three initial guesses x1,x2,x3, IQIM calculates x4,x5,, by xj+1=xjc1yj+c2yj2,j=3,4, where yj=f(xj),c1 and c2 satisfy c1+(yj1yj)c2=yj1yjxj1xjc1+(yj2yj)c2=yj2yjxj2xj The method is derived as follows. We find a quadratic polynomial of y, say x=P(y), such that xj=P(yj),xj1=P(yj1) and xj2=P(yj2), then let xj+1=P(0). We let the polynomial be given as P(y)=xj+c1(yyj)+c2(yyj)2, then xj=P(yj) is already satisfied. The conditions xj1=P(yj1) and xj2=P(yj2) give the two equations for c1 and c2. Like the secant method, IQIM does not require the derivative of f. But it requires three initial guesses. It can be proved that the method is faster than secant method