$($MAT LAB CODE PLEASE SHOW CODE AND RESULTS $)$The two roots of $x^2-3\mathrm{.}13x+2\mathrm{.}0332=0$ are to be found using the fixed$-$point

method as follows: Define iteration functions

$g_1(x)=\frac{3\mathrm{.}13x-2\mathrm{.}0332}{x},g_2(x)=\frac{x^2+2\mathrm{.}0332}{3\mathrm{.}13}$

a$.$ Locate the fixed points of $g_1(x)$ and $g_2(x)$ graphically.

b$.$ Focus on $g_1$ first. Execute the user$-$defined function FixedPoint with initial

point $x_1$ chosen as the nearest integer to the left of the smaller fixed point.

Execute a second time with $x_1$ an integer between the two fixed points. Finally,

with $x_1$ to the right of the larger fixed point. In all cases, use the default

tolerance, but increase kmax if necessary. Discuss all convergence issues as

related to Theorem $3\mathrm{.}1.$

c$.$ Repeat Part $($b$),$ this time focusing on $g_2.$