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Find the Flux of the Vector Field F Across the Surface

question 27

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Find the flux of the vector field F across the surface S in the indicated direction.
- F=z29k;S\mathbf { F } = \frac { z ^ { 2 } } { 9 } \mathbf { k } ; \mathrm { S } is the upper hemisphere of x2+y2+z2=9\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 9 ; direction is outward

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