Use the Divergence Theorem to evaluate [ int_{S} int mathbf{F} cdot mathbf{N} d S ] and find the outward flux of ( mathbf{F} ) through the surface of the solid ( S ) bounded by the graphs of the equations. Use a computer algebra system to verify your results. [ begin{array}{l} mathbf{F}(x, y, z)=x e^{z} mathbf{i}+y e^{z^{2}} math

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Use the Divergence Theorem to evaluate  [  int_{S}  int  mathbf{F}  cdot  mathbf{N} d S  ] and find the outward flux of  (  mathbf{F}  ) through the surface of the solid  ( S  ) bounded by the graphs of the equations. Use a computer algebra system to verify your results.  [  begin{array}{l}  mathbf{F}(x, y, z)=x e^{z}  mathbf{i}+y e^{z^{2}}  mathbf{j}+e^{z}  mathbf{k}    S: z=1-y, z=0, x=0, x=8, y=0  end{array}  ]

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(Solved): Use the Divergence Theorem to evaluate \[ \int_{S} \int \mathbf{F} \cdot \mathbf{N} d S \] and fin ...

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