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Evaluate the Flux of the Vector Field F=2i+j+3k\mathbf { F } = 2 \mathbf { i } + \mathbf { j } + 3 \mathbf { k }

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Evaluate the flux of the vector field F=2i+j+3k\mathbf { F } = 2 \mathbf { i } + \mathbf { j } + 3 \mathbf { k } through the plane region with the given orientation as shown below.  Evaluate the flux of the vector field  \mathbf { F } = 2 \mathbf { i } + \mathbf { j } + 3 \mathbf { k }  through the plane region with the given orientation as shown below.


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