Develop a computer program to find the root of the following function:

P $=(-$m$+4)$e$-0\mathrm{.}5$m $-2$

using the following three methods:

$($a$)$ Bisection $($initial guesses of ml $=0\mathrm{.}5$ and mu $=1\mathrm{.}5).$

$($b$)$ Newton$-$Raphson $($initial guess of m$0=1\mathrm{.}5).$

$($c$)$ Secant $($initial guesses of m$-1=0\mathrm{.}2$ and m$0=0\mathrm{.}7).$

Perform iterations until the approximate percent relative error falls below $0\mathrm{.}005\%.$

Note: For this problem, it is optional to use MatLab or any programming language $($e$.$g$.,$ C$/$C$++,$ Octave, Python, Java...etc.$).$ However, you are not allowed to use any built$-$in functions in MatLab that are not available in the other compilers.