Construct an function handle stored under the name f that has has its value the

function f$($x$,$ y$)=$ e

$3($x$2+($y$/2)2)+$ cos$($xy$).$ Be sure that your function handle can

accept vectors as input, so that the call f$($v$,$w$)$ on a vectors v $=[$v$1,$ v$2,,$ vm$]$T

and w $=[$w$1,$ w$2,,$ wm$]$T produces the vector $[$f$($v$1,$ w$1),$ f$($v$2,$ w$2),,$ f$($vm$,$ wm$)]$T

$.$

$($b$)$ Using v $=$

$$

$1$

$5$

$0$

$3$

$$

$$

and w $=$

$$

$$

$3$

$/4$

$1$

$0$

$$

$$

$,$ compute s $=$ f$($v$,$ w$).$

$($c$)$ Compute t $=$ f$($w$,$ v$).$

$($d$)$ Create a $1100$ row vector x $=$ x$1$ x$2$ x$100,$ where x consists of $100$

equally$-$spaced points on the interval $[3,3],$ with x$1=3$ and x$100=3.$ Set

y $=$ x$.$

$($e$)$ Create matrices X and Y that encode the coordinates for a $100100$ grid of

equally$-$spaced points over the square $[3,3][3,3]$ using your vectors x and y$.$

This can be done with MATLAB$$s meshgrid command.

$($f$)$ Construct the matrix Z $=$ f$($X$,$ Y $).($Note: If you want to look at Z as a surface,

you can use the surf$($X$,$Y$,$Z$)$ command. This is not required for the problem.$)$

$($g$)$ Set z to be a $10021$ vector where the first $100$ entries of z are the entries in the

first column of Z$,$ the second $100$ entries of z are the entries in the second column

of Z$,$ and so on$.$ This is ca