Use Stoke's theorem to evaluate ∬SF⋅dS. F(x,y,z) = 6.25xi + 25yj + 5(y2+x2)k C is the boundary of the part of the paraboloid z = 6.25−x2−y2 in the first octant. C is oriented counterclockwise as viewed from above.
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Use Stoke's theorem to evaluate .
is the boundary of the part of the paraboloid in the first octant. is oriented counterclockwise as viewed from above.