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Use Stokes' Theorem to Evaluate CFdr\int _ { C } \vec { F } \cdot d \vec { r }

Question 35

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Use Stokes' theorem to evaluate CFdr\int _ { C } \vec { F } \cdot d \vec { r } , where C is in the plane z=72xyz = 7 - 2 x - y lying above the unit disk with the normal vector in the positive z direction where F(x,y,z)=z,y,2x\vec { F } ( x , y , z ) = \langle z , y , 2 x \rangle

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