(x, y) = (0,0) (x, y) = (0,0) Given f(x, y) = x2 Determine (a) whether f(x, y) is continuous at (0,0); (b) whether fx (0,0) and fy (0,0) exist, and their values, if they do; (c) whether f(x, y) is differentiable at the point (0,0). (In each part, write your answer in detail!)