Answer using MATLAB please

Bisect vs$.$ False position

Copy the bisect function and modify it to create a false position function. Compute the roots of the

function

$f(x)=-0\mathrm{.}402e^{0\mathrm{.}3x}cos(-0\mathrm{.}5x)+5$

and the number of iterations required as described below. Use an error tolerance of $0\mathrm{.}0001\%.$ You

will need to modify both functions to include the number of iterations as an output to the functions.

Modify the false position function to add a max iteration parameter. If the number of iterations

exceeds the maximum number of allowed iterations, the algorithm should stop and return the

current value for the root.

a$)$ Plot the function between $17$ and $38.$

b$)$ Compute the root between $17$ and $38$ for both methods. Limit the false position method to

$130$ iterations. Display a table in the command window with the following columns:

Method, Root, and Iterations. Display the root with $10$ decimal places. Just above the

table, use an fprintf statement to display a statement such as:

"Using $x$ and $x$ as the bounds". After the table, explain the difference in the number of

iterations between the two methods as text.

c$)$ Create the table again but use $27$ and $31$ as the bounds. Explain the difference in the

number of iterations between part $b$ and $c$ for the False Position method as text.

d$)$ Plot all solutions $($in the figure from part a$)$ using:

Bisection part b: a red asterisk

False Position part b: a red square

Bisection part c: green asterisk

False Position part c: a green square