QUESTION 2 (a) In the following cases, find dF/dt using the Chain Rule: (i) F(x, y) = cln (x) + dln(y), a = Aeat, y = Belt (ii) F (u, v) = But U = = v =+3 (9 marks) (b) Apply the Chain Rule to find Oz/Ot and Oz/Os for the following case: -34 2 = 3x+4y' x = =, y = et-s (10 marks) (c) Using implicit differentiation, find y' and y" for the following level curves: (i) xy' = 3 (ii) e + 4x - 2y = c (6 marks)