5. Consider the vector field F(a:,y,z) = (z y,z 53,3; :6) and the curves 01 and 02 parameterised by r1(t) = (t, 2t,3t) and 1'2 (15) = (153, t3 + t2,t3 + t2 -l- t) for 0 S t S 1. (a) Compute F(r1(t)) and F(r2(t)). Compute r'1(t) and r'2(t). (b) Hence find the work done by F in moving an object along Cl, by calculating the integral F-d =f Fr 13 -r'tdt. c1 r 01 (10) 1() (c) Compare this with the work done by F in moving an object along 02