Consider the function f : D C R2 -> R given by f(x, y) = In[x In(y - x2)]. (a) Determine D, the domain of f. Consider the function 9 : R2 -> R defined by f(x, y) if (x, y) ED (a-1) cos( Forty-1) g(x, y) = (x-1)2+(9-1)2 if (x, y) @ D and x * y if otherwise Evaluate or determine if the following limits do not exist (with proof): (b) lim g (x, y) (x,y) - (1,3) (c) lim g(x, y) (x,y)-> (1,1)