You are required to find a root of one of the functions given below by using the methods

taught in the class which include $($a$)$Bisection method, $($b$)$Newton$$s method,

$($c$)$Secant method and $($d$)$Fixed point iteration method.

$$ Calculate the true percent relative error $(\backslash$epsi t$)$ in each iteration step for each method and

plot it with respect to the iteration number. Plot all four relative errors in one graph and

comment on the comparison of these methods. Determine a true relative error $(\backslash$epsi t$)$ tolerance of $10-12$ to stop the iterations and apply this

tolerance in all four methods. Note that you should first find the true root of the function with

a minimum resolution of $10-13$ to calculate the true relative error. You should also determine an

appropriate interval $[$a$,$b$]$ for the function to search for the root.