Rewrite this code to be simpler in MATLABTask $4.$ Fix what is wrong in the code. MATLAB. Functions:

f$($x$)=2*$x$4-15*$x$2+5*$x $+5$ Interval: $[0,2]$

Tolerance: $10^(-12)$Maximum number of iterations: $100$

sims x

f$($x$)=\%$function;

x$\_0$p $=\%$beginning of the interval;

x$\_0$k $=\%$end of interval;

tol $=10^-12$;

max$\_$iter $=100$;

iter $=0$;

conP $=0$;

conK $=0$;

$\%$defining the function for convergence

$\%\%$g$($x$)=$ f$($x$)+$x;

g$($x$)=$ x $-($f$($x$)/$diff$($f$($x$)))$;

$\%$print

string $=$ x$\_0$p:$0\mathrm{.}1$:x$\_0$k;

fplot$($f$($x$),[$x$\_0$p x$\_0$k$],\text{'}-$b$\text{'})$

hold on

lin $=$ string;

plot$($string$,$lin, $\text{'}-$r$\text{'})$

hold on

fplot$($g$($x$),[$x$\_0$p x$\_0$k$],\text{'}-$g$\text{'})$

hold on

plot$($string$,0,$"Color","c$")$

axis$([$x$\_0$p$,$ x$\_0$k$,-2,2])$

hold off

xlabel$(\text{'}$x$\text{'})$

ylabel$(\text{'}$f$($x$)\text{'})$

$\%$algorithm

fprintf$(\text{'}$iter x$1$L f$($x$1$L$)$ x$1$D f$($x$1$D$)$

$\text{'})$

fprintf$(\text{'}--------------------------------------------------------------------------$

$\text{'})$

while iter $<100$

if abs$($f$($x$\_0$p$))<$ tol && konP $==0$ && iter $>1$

conP $=1$;

interP $=$ iter;

elseif conP $==0$

x$\_1$p$=$vpa$(($g$($x$\_0$p$)),5)$;

x$\_0$p $=$ x$\_1$p; $\%\%$ setting a new value to check from the beginning of the interval

conP $=0$;

end

if abs$($f$($x$\_0$k$))<$ tol & konK $==0$ & iter $>1$

conK $=1$;

interK $=$ iter;

elseif conK $==0$

x$\_1$k$=$vpa$(($g$($x$\_0$k$)),5)$;

x$\_0$k $=$ x$\_1$k; $\%\%$ setting a new value to check from the beginning of the interval

conK $=0$;

end

if konP $==1$ & konK $==0$ & iter $==99$

fprintf$(\text{'}$the function converges on the L side after $\%$d iterations',interP$)$

fprintf$(\text{'}$point obtained : $\%\mathrm{.}15$f$\text{'},$x$\_1$p$)$

fprintf$(\text{'}$function value at the obtained point : $\%\mathrm{.}12$f$\text{'},$f$($x$\_1$p$))$

break

end

if konK $==1$ & konP $==0$ & iter $==99$

fprintf$(\text{'}$function converges on D side after $\%$d iterations',interK$)$

fprintf$(\text{'}$point obtained : $\%\mathrm{.}15$f$\text{'},$x$\_1$k$)$

fprintf$(\text{'}$function value at the obtained point : $\%\mathrm{.}12$f$\text{'},$f$($x$\_1$k$))$

break

end

if konK $==1$ & konP $==1$

fprintf$(\text{'}$function converges on both sides'$)$

fprintf$(\text{'}$from L side after $\%$d iterations from D side after $\%$d iterations', interP, interK$)$

fprintf$(\text{'}$obtained points with L : $\%\mathrm{.}15$f$,$ and with D: $\%\mathrm{.}15$f$\text{'},$x$\_1$p$,$ x$\_1$k$)$

fprintf$(\text{'}$function value in obtained points L : $\%\mathrm{.}13$f$,$ D: $\%\mathrm{.}13$f $\text{'},$f$($x$\_1$p$),$ f$($x$\_1$k$))$

break

end

fprintf$(\text{'}\%$d $\%\mathrm{.}3$f $\%\mathrm{.}3$f $\%\mathrm{.}3$f $\%\mathrm{.}3$f

$\text{'},$iter,x$\_1$p$,$f$($x$\_1$p$),$x$\_1$k$,$f$($x$\_1$k$))$

iter $=$ iter $+1$; $\%\%$ iteration increment

end

if iter $==100$

fprintf$("$convergence not reached in $100$ iterations $")$

fprintf$("$last calculated x$0$ are $\%\mathrm{.}15$f

and $\%\mathrm{.}15$f

$",$x$\_1$p$,$ x$\_1$k$)$

fprintf$("$value of function f at these points is: $\%\mathrm{.}15$f

and $\%\mathrm{.}15$f

$",$f$($x$\_1$p$),$ f$($x$\_1$k$))$

end

$\%\%$ if the condition is not reached in $100$ iterations, the program prints the required data