$2\mathrm{.}2.$ C Modify the Matlab code used in Example $2\mathrm{.}7$ for the bisection method to incorpo$-$

rate

Inputs : $f,a,b,$ TOL, itmax

Stopping criterion : Relative error $$ TOL $ork$ itmax

Consider the following equations defined on the given intervals:

I. $3x-e^x=0,[0,1]$

II$.2xcos(2x)-(x+1{)}^2=0,[-1,0]$

For each of the above equations,

$($a$)$ Use Maple or Matlab $($or something else$)$ to find a very accurate solution in the

interval.

$($b$)$ Find the approximate root by using your Matlab with TOL$=10{?}^{-6}$ and itmax$=10.$

$($c$)$ Report $p_n,|p-p_n|,$ and $|p-p_{n-1}|,$ for $n1,$ in a table format.