Determine the root of the function f$($x$)=$ sqrt$($x$)+$ x$2-7$ with five significant figures, using the methods listed below.

Part Two $(10$ Points$)$: Carry out the following requirements using MATLAB. In each question, along with the output from MATLAB, provide the complete code that you used.

$($f$)$ Find and use a MATLAB built$-$in function; find the root of the function. Also, please provide

a brief description of the methods used by this function $($Hint: use the MATLAB help tool$).$

$($g$)$ Write a MATLAB user$-$defined function that solves the nonlinear function $f(x)=0$ using the

bisection method. Use this function to find the root of the equation with initial points $x_1=2$ and $x_2$

$=3$ and $10$ iterations. The output should be a matrix with the results of each iteration.

$($h$)$ Write a MATLAB user$-$defined function that solves the nonlinear function $f(x)=0$ using

Newton$-$Raphson method. Use this function to find the root of the equation with initial points $\frac{?}{xI}$

$=3$ and $10$ iterations. The output should be a matrix with the results of each iteration.

$($i$)$ Make a plot of "Tolerance in $f(x)$ vs$.$ Iteration Number". The figure should be one plot that

includes the results from $(g)$ and $(h)$ and has the necessary labels and legend.