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Use Stokes' Theorem to find the value of the line integral of the vector field Faround the curve C where C is in the direction of positive orientation (that is, counterclockwise when looking down from the positive z-axis): for F. dr = = [ (curl F). n ds where F(x, y, z) = xyi + x²j + z²k and C'is the intersection of the paraboloid z = x² + y² and the plane z = y. i
* Your answer is incorrect. 16r If F(r) = and o is the surface (x-4)² + y² + z² = 64 oriented outwards, what is the value of £ ff. F. F.ndS? NOTE: Enter the exact answer. F.no F.ndS=0 X