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Evaluate SFdS\iint _ { S } \mathbf { F } \cdot d \mathbf { S }

question 75

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Evaluate SFdS\iint _ { S } \mathbf { F } \cdot d \mathbf { S } , where F=(x,y,z) =yjzk\mathbf { F } = ( x , y , z ) = y \mathbf { j } - z \mathbf { k } and S is the cube bounded by x=±1,y=±1,z=±1x = \pm 1 , \quad y = \pm 1 , \quad z = \pm 1 .


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