Question: cc (14.9 Divergence Theorem) Use the Divergence Theorem to calculate _(S)F*dS where F(x,y,z)=x^(3)hat(i)+y^(3),hat(j)+z^(3)hat(k) S is the surface of the solid bounded by the cylinder x^(2)+y^(2)=1

cc (14.9 Divergence Theorem) Use the Divergence Theorem to calculate _(S)F*dS where F(x,y,z)=x^(3)hat(i)+y^(3),hat(j)+z^(3)hat(k) S is the surface of the solid bounded by the cylinder x^(2)+y^(2)=1 and the planes z=0,z=2. Include a graph of the surface S. Be sure to show work to justify your answers, and simplify your answers. For each problem, be sure to show all work to explain your answers.I'll upvote 100% after I check and if it's CORRECT. BUT DOWNVOTE RIGHT AWAY IF IT IS WRONG. Do not use Chat GPT, cuz I have used that to figure out the answer. Please help me with an accurate answer. I'll be extremely thankful and grateful.

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