1. The problem statement, all variables and given/known data I found the local maximum for the equation g(x,y)=3xe^y - x^3 - e^(3y), which is (1, 0)...now I am supposed to show that this is not the absolute maximum for g(x,y). I don't know how to find an absolute maximum without an interval! Could anyonw shed some light on this? 2. Relevant equations I have solved for the partial derivatives with respect to x, y, xx, yy, and xy (all needed to find the local max). 3. The attempt at a solution I really don't know where to go from here, all I think we have learned is the extreme value theorem where you compare the critical points to the boundary values, but I am not given any boundary values, just that x and y are continuous for all values.