. Problem 3: Consider the function
f (x, y) = (x ?1)2+ 0.5(y ?1)2+ xy + 2x + 3y
1) Plot the function using either Python’s plotting (this means you
have to google “python surface plot” or “python plot two variable
function”) or an online app like Demos or Microsoft 3d plotter. Do
you think the function has a maximum? A minimum?
2) Compute the gradient.1
3) What is the system of equations for finding the max/min?
4) Are you able to solve the system of equations by hand? If not,
explain what you tried.