The following equation has a root in the range of $0,1,$

$f(x)=x-e^{-x}$

Calculate the root of this function with using the Bisection,

False position, Newton$-$Raphson, and Secant methods manually.

Calculate the root of this function using the Bisection, False position, Newton$-$

Raphson, and Secant method by writing a Matlab code and repeating the

process for $10$ iterations.

Plot the results of the last step as $f(x_n)$ vs iteration for all methods and

compare the convergence rate of these methods.