Question

Find the values that maximize the value of F=X^2*Y

Answer 1

F= X^2 * Y? Does it give any more information about F? Because if F is really F(x)... Anyhoo. The maximum values of any function can be determined by values that exist within the domain of the original function, and and are examples of when the derivative of the function is zero, and going from positive to negative.

Since you have two variables in your equation, you'd solve for df/dx = 2xY + (dy/dx)X

Without knowing anything else, i'm not sure what I can do for you. Technically, the values of Y & X that maximize F are infinity, and any positive nonzero number.

DO you have answer choices, or other information?