2. Let C be the intersection between the surfaces 81 with equation 332 + y2 + 222 = 4 and 32 with equation 2 = 1. (a) (5 points) Write a vector function r(t) with space curve C for a parameter 0 S if g 271'. (b) (5 points) For which values of t is r'(t) perpendicular to r05)? l-Iotivate your answer. (c) (5 points) Let D be the space curve associated to the vector function 3(0) : (v.1), 2'0). D0 C and D intersect? Motivate your