1. Consider the unit sphere S = {(33, y, z) | :52 + y2 + 2:2 = 1} and a. function r, y, z) = 3:3 + y2 + z restricted on 5'. Given a point p = (1/211/2,\\//2) E S (3.) Under a. local coordinate system X (151,152) = ($91,152, 1 (1.51)2 (u2)2), com- pute Vsp) and Asp) (b) Under a local coordinate system Y(6, gab) = (sincos g3), sinsin e5, cos 6), compute Vsp) and ASfU-J)