A vector field is given by F(r) = zi + xj + y k, and a paraboloid is given by S = {(x, y, z) ( R3 | z =1 - x2 - y', z E [0, 1]}, as shown in Figure 6. Z oy O X 1 Figure 6 i) Compute the parametric line integral W = $ E(r(t)) . ar dr(t) - dt . C is the counter-clockwise circular boundary of S in the xy-plane, with para- metric definition r(t) = cos(t) 2 + sin(t)3 + 0k , te [0, 27). ii) Compute the curl of F; i.e. VX F