*+iy (excluding the stagnation 3. Let F(x, y, z) = (0, 0, a) and let S be the portion of the paraboloid :=1-2²-²2² negative 2-coordinate). (.e. non- (a) Find a parametrisation of the surface 5 with normal n pointing upwards. (b) Use the parametrisation from part (3a) to calculate (F-n) ds. (c) Find a parametrisation of the boundary of S. Hint: show that the boundary of S is the circle x² + y² = 1, z = 0. (d) Use Stokes' theorem and the parametrisation for part (3c) to calculate n) ds. 2m cos³0 de = 0. Given: curl(0,²,0) = (0,0,r) and JL.F.

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