Question 2. Let V be an irreducible affine variety over an algebraically closed field K. Recall that for any point p E V, the ring Op(V) := {f E K(V) | f is regular at p} is local. Denote by Mo the maximal ideal of Op (V). (1) Let V = V(Y - X2) C K2 and p E V. Show that dimp Mp/M2 = 1. (2) Let V = V(Y2 - X3) C K2 and p = (0, 0). Show that dimp Mp/M. = 2