I need help with my matlab code, can someone assist me to make it up to project specifications? The code is below, then the project specifications are after. PLEASE help make my code WORK. IT NEEDS TO WORK AND SHOW EACH OF THE INCISIONS, AND THEN A RESULT WITH THE INCISIONS TOGETHER.

$\%$ Define the time intervals for the three cuts

t$1=0$:$0\mathrm{.}001$:$2\mathrm{.}36$;

t$2=0$:$0\mathrm{.}001$:$7\mathrm{.}86$;

t$3=0$:$0\mathrm{.}001$:$27\mathrm{.}65$;

$\%$ Define the control signals for the cutting head

x$1=$ @$($t$)3+0\mathrm{.}75*$ cos$((4*$ t $+2)/3)$;

y$1=$ @$($t$)4+0\mathrm{.}75*$ sin$((4*$ t $+2)/3)$;

x$2=$ @$($t$)12-2*$ cos$(0\mathrm{.}5)$;

y$2=$ @$($t$)4-2*$ sin$(0\mathrm{.}5)$;

x$3=$ @$($t$)12+2*$ cos$(($t $-$ t$2+2*$ pi $+1)/2)$;

y$3=$ @$($t$)4+2*$ sin$(($t $-$ t$2+2*$ pi $+1)/2)$;

$\%$ Calculate the parameters for the cutting head control signals

A $=$ abs$($x$2(0)-$ x$1(0)+1$i $*($y$2(0)-$ y$1(0)))$;

theta $=$ angle$(($x$2(0)-$ x$1(0))+1$i $*($y$2(0)-$ y$1(0)))$;

$\%$ Define the control signals for the cutting head

ax $=$ @$($t$)$ x$1($t$)+0\mathrm{.}75*$ cos$((4*$ t $+2)/3)$;

ay $=$ @$($t$)$ y$1($t$)+0\mathrm{.}75*$ sin$((4*$ t $+2)/3)$;

bx $=$ cos$($theta$)$;

by $=$ sin$($theta$)$;

cx $=$ @$($t$)$ x$3($t$)+2*$ cos$(($t $-$ t$2+2*$ pi $+1)/2)$;

cy $=$ @$($t$)$ y$3($t$)+2*$ sin$(($t $-$ t$2+2*$ pi $+1)/2)$;

$\%$ Plot the signals x$($t$)$ and y$($t$)$ versus time on the same graph

figure;

subplot$(2,2,1)$;

plot$($t$1,$ x$1($t$1),\text{'}$b$\text{'},$ t$2,$ x$2($t$2),\text{'}$r$\text{'},$ t$3,$ x$3($t$3),\text{'}$g$\text{'})$;

xlabel$(\text{'}$Time $($sec$)\text{'})$;

ylabel$(\text{'}$x$($t$)\text{'})$;

title$(\text{'}$x$($t$)$ versus Time'$)$;

subplot$(2,2,2)$;

plot$($t$1,$ y$1($t$1),\text{'}$b$\text{'},$ t$2,$ y$2($t$2),\text{'}$r$\text{'},$ t$3,$ y$3($t$3),\text{'}$g$\text{'})$;

xlabel$(\text{'}$Time $($sec$)\text{'})$;

ylabel$(\text{'}$y$($t$)\text{'})$;

title$(\text{'}$y$($t$)$ versus Time'$)$;

$\%$ Plot y$($t$)$ versus x$($t$)$ for all three cuts separately

subplot$(2,2,3)$;

plot$($x$1($t$1),$ y$1($t$1),\text{'}$b$\text{'},$ x$2($t$2),$ y$2($t$2),\text{'}$r$\text{'},$ x$3($t$3),$ y$3($t$3),\text{'}$g$\text{'})$;

xlabel$(\text{'}$x$($t$)\text{'})$;

ylabel$(\text{'}$y$($t$)\text{'})$;

title$(\text{'}$y$($t$)$ versus x$($t$)$ for all three cuts separately'$)$;

$\%$ Plot y$($t$)$ versus x$($t$)$ for all three cuts on the same figure

subplot$(2,2,4)$;

plot$($x$1($t$1(1$:$1000)),$ y$1($t$1(1$:$1000)),\text{'}$b$\text{'},$ x$2($t$2(1$:$1000)),$ y$2($t$2(1$:$1000)),\text{'}$r$\text{'},$ x$3($t$3(1$:$1000)),$ y$3($t$3(1$:$1000)),\text{'}$g$\text{'})$;

xlabel$(\text{'}$x$($t$)\text{'})$;

ylabel$(\text{'}$y$($t$)\text{'})$;

title$(\text{'}$y$($t$)$ versus x$($t$)$ for all three cuts on the same figure'$)$;

$\%$ Add a legend

legend$(\text{'}$First Cut', 'Second Cut', 'Third Cut', 'Location', 'NorthEast'$)$;

$\%$ Show the plot

show$()$;

PROJECT SPECIFCATIONS

A laser cutting surgical tool needs to be programmed to perform an incision in a human ilium $($pelvic$/$hip

bone$)$ rectangular area of $8-$mm by $16-$mm$.$

The additional cuts within the incised rectangular piece that is removed are to have the shapes $($within

the rectangular region$).$

In order to produce such an incision, three separate cuts are required.

The first cut is produced during a time interval $0<=$ t $<=2\mathrm{.}36$ sec with the cutting head control signals:

x$($t$)=3+0\mathrm{.}375$ cos$($t $/0\mathrm{.}375)$ and y$($t$)=4+0\mathrm{.}375$ sin$($t $/0\mathrm{.}375)$

The second cut is produced during a time interval $0<=$ t $<=7\mathrm{.}86$ sec with the cutting head control signals:

x$($t$)=12+1\mathrm{.}25$ cos$($t $/1\mathrm{.}25)$ and y$($t$)=4+1\mathrm{.}25$ sin$($t $/1\mathrm{.}25)$

The third and final cut is produced during a time interval $0<=$ t $<=27\mathrm{.}65$ sec with the cutting head control

signals:

x$($t$)=$ ax$($t$)[$u$($t$)-$ u $($t$-$t$1)]+$ x$1$u$($t$-$t$1)+$ bx $[$r$($t$-$t$1)-$ r $($t$-$t$2)]-$x$2$u$($t$-$t$2)+$ cx$($t$)[$u$($t$-$t$2)-$u$($t$-$t$3)]-$ bxr$($t$-$t$3)+$ y$3$u$($t$-$t$3)$

y$($t$)=$ ay$($t$)[$u$($t$)-$ u $($t$-$t$1)]+$ y$1$u$($t$-$t$1)+$ by $[$r$($t$-$t$1)-$ r $($t$-$t$2)]-$y$2$u$($t$-$t$2)+$ cy$($t$)[$u$($t$-$t$2)-$u$($t$-$t$3)]+$ byr$($t$-$t$3)+$ y$3$u$($t$-$t$3)$

where

x$1=3+0\mathrm{.}75$ cos $(2/3),$ x$2=12-2$ cos $(0\mathrm{.}5),$

y$1=4-0\mathrm{.}75$ sin $(2/3),$ y$2=4-2$sin $(0\mathrm{.}5),$

y$3=4+2$ sin $(0\mathrm{.}5),$ A $=|($x$2-$ x$1)+$ j$($y$2-$y$1)|,$

theta $=$ phase angle $(($x$2-$x$1)+$ j$($y$2-$y$1),$ t$1=1\mathrm{.}5$pi $-1,$

t$2=$ t$1+$ A$,$ t$3=$ t$2+4$pi $-2,$ bx $=$ cos$($theta$),$ by $=$ sin$($theta$),$ ax$($t