$f(x)=e^{-0\mathrm{.}5x}(4-x)-2$

$($i$)$ Plot the graph on $0,10$

$($ii$)$ Use Python to find the root of $x$ using bisection method

$($iii$)$ Use Python to find the root of $x$ using Newton$-$Rhapson method

$($iv$)$ Use Python to find the root of $x$ using Secant method

$($v$)$ Plot the convergence graph of the root of the methods $($ii$)-($iv$)$

$($vi$)$ Compare the convergence plot between the algorithms $($ii$)-($iv$)$