Please help me solve this unconstrained optimization problem in two variables. I can't paste the format so I attached a picture. Thanks so much.

3 Unconstrained optimization in two variables Consider the function 2 2 'y [(3231) = $31 - w a) Find 31* that maximizes f (x, y) given that x = 2. b) Now consider the function f(ac,y) at the y* you calculated in the previous part. f (at, y*) is now only a function of at. What happens to the value of f(x, y*) when x increases? c) Now consider (cc, y) E R2, that is, the entire twodimensional space here a: and y are in [00, +00]. Find the maximum