Question $3$: $[3\mathrm{.}5$ Marks$]$ Write a matlab code. Use the Bisection method, Newton's method, Secant method, and False position method to approximate a solution of $x^2-1-e^{(1-x^2)}=0$ in $0,-2$ within the accuracy ${10}^{-5}.$

$($a$)$ Find the number of iterations needed for each method to get this accuracy.

$($b$)$In each iteration, display the iteration number, approximation, and accuracy for all methods.

$($c$)$ In which method the approximation converges faster?