2. (a) Consider the function 9(33, y) given by 9(m, y) = 10w$2 + 3/2 for all (as, y) E R2. (1) Sketch and label the level curves of 9(33, y) for each of the heights 0, 50 and 100. Describe each of these level curves in words. (ii) Calculate g(3, 4) and draw it so that it starts at (3, 4) in your sketch from part (i). (iii) Calculate the directional derivative of g at (3, 4) in the direction of \"E = 1 1 2 j and determine whether g is increasing or decreasing in this direction x/if ail-(3&4) [14 marks] (b) Locate and classify all critical points of x, y) = 8x3 y3 241:3; + 6. [16 marks]