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Stokes Theorem, Curl and Positively Oriented Hemisphere

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7) Use Stoke's Theorem to evaluate curl F*dS

S is the hemisphere oriented in the direction of the positive x-axis.

8) Use Stokes Theorem to evaluate

C is the boundary of the part of the plane 2x + y + 2z = 2 in the first octant.

9) Suppose that f(x,y,z)= , where g is a function of one variable such that g(2) = -5. Evaluate , where S is the sphere

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Stokes Theorem, Curl and Positively Oriented Hemisphere are investigated. The solution is detailed and well presented.

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