Solve the attached:

(a) Consider the quadric surface 31 given by 22 = 2:2 + y" + 2. Which of the following is a graph of this surface? N0 EXPLANATION NEEDED. ii. (b) Consider a different surface 32 given by z = '93 23y 1. Find a normal vector to 52 at the point (1,1,2) on 32. (c) Consider the curve C = 31 F1 32 given by intersection of these two surfaces: 31: z2=xz+y2+2 5'2: z=y32:vy1 Find the tangent line to this curve of intersection at point (1, 1, 2). (Hint: you can do this without parameterizing the curve, think normally!)