Question: Evaluate the line integral F . dr, where C is given by the vector function r(t). JC F(x, y, z) = ( x + y




Evaluate the line integral F . dr, where C is given by the vector function r(t). JC F(x, y, z) = ( x + y ) i + xz j + (y + z) k, r (t) = thi + +3 j - 2t k, Osts2Use Stokes' theorem to evaluate curl (F) . ds. F(x, y, z) = x sin(z) i+ y j + xyk, S is the part of the paraboloid z = 4 - x2 - y that lies above the xy-plane, oriented upward
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