Note:

Using the MATLAB platform, answer the following questions and try to use variation in your code as well.

You need to submit a softcopy of the code and report through Blackboard and hardcopy of the reports

The report must $($a pdf file$)$ contain the code and screenshots of the MATLAB output. You must provide a clear$/$readable screenshot in the report.

Question $3$: $[3\mathrm{.}5$ Marks$]$ 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?

$(2$ marks for the final results of $4$ methods, $1$ marks for the presentation of the results as expected in part $($b$)$ and $0\mathrm{.}5$ for part $($c$))$