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15_6_11 - 11 r = u cos vi u sin vj uk(0 u 2 0 v has upward...

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11. : r = u cos v i + u sin v j + u k , ( 0 u 2 , 0 v π) , has upward surface element ˆ N dS = r u × r ∂v du d v = ( - u cos v i - u sin v j + u k ) du d v. The flux of F = x i + y j + z 2 k upward through is ZZ F ˆ N dS = Z 2
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