clc

clear all

close all

x$(1,$:$)=[-9\mathrm{.}6-6-2\mathrm{.}6-1\mathrm{.}10\mathrm{.}62\mathrm{.}32\mathrm{.}88\mathrm{.}310]$;

v$(1,$:$)=[000000000]$;

f$(1,$:$)=-$x$(1,$:$).^2+5*($x$(1,$:$))+20$;

r$1=[0\mathrm{.}210\mathrm{.}1130\mathrm{.}1780\mathrm{.}241]$;

r$2=[0\mathrm{.}8760\mathrm{.}7060\mathrm{.}5070\mathrm{.}302]$;

LBP$(1,$:$)=$x$(1,$:$)$;

LBF$(1,$:$)=$f$(1,$:$)$;

$[$C$.$I$]=$max$($LBF$(1,$:$))$;

GBF$(1)=$c;

GBP$=$LBP$(1,$I$)$;

w$=1$;c$1=1$;c$2=1$;

for i$=1$:$4$

$\%$update velocity

v$($i$+1,$:$)=$w$*$v$($i$,$:$)+$c$1*$r$1($i$)*($LBP$($i$,$:$)-$x$($i$,$:$))+$c$2*$r$2($i$)*$

BY USING THE ABOVE CODE AS REFERENCE PLS PROVIDE MATLAB CODE FOR THE BELOW QUESTION

FIND THE BEST VALUE FOR x that maximizes the functions y$=$x$^3-3$x$^2+4$cosx$-2$sin$^2$x for $-5<=$x$<=5$

Take x$1=30,$x$2=31,$x$3=32,$x$4=33,$x$5=35,$x$6=36,$x$7=37,$x$8=38,$x$9=39,$x$10=40,,$c$1=12,$ c$2=12,$w$=35,$ r$1=[8\mathrm{.}57\mathrm{.}47\mathrm{.}37\mathrm{.}5],$r$2=[8\mathrm{.}57\mathrm{.}957\mathrm{.}737\mathrm{.}67]$