HW$2-$Q$5)$ MATLAB, PLEASE MAKE CODE COPYABLE

$2$D optimization

Consider the following two$-$dimensional function:

$c(x,y)=5cos(\frac{9y}{10})sin(\frac{19x}{10})(x^2+yx)$

a$)$ Use an anonymous function for $c(x,y)$ and MATLAB's mesh function. Create a $3$D plot of

the function from $-6x6,$ and $-1y5.$

b$)$ Use an initial guess of $[5-1],$ find the maximum using MATLAB's built$-$in function

fminsearch. Use the fprintf function to print the results with $6$ digits to the right of

the decimal point $($e$.$g$.$ "The maximum value of $c,x.xxxxxx,$ occurs at $x$

$=x*xxxxxx$ and $y=x*xxxxxx.$

c$)$ Using MATLAB's plot $3$ and hold commands, plot a red asterisk at the maximum in the

plot from part a$).$

d$)$ Repeat parts $b$ and $c$ with an initial guess of $[53]$ and a black asterisk.

e$)$ In text answer the question: "What changes between the two different initial guesses and

why?"