|Let F = 2xi+ 2yj+2zk be a vector field on R³. Use the Divergence Theorem to evaluate ff, F.n dS where o is the closed surface of the sphere x? + y? + 2? Answer: 87a3. a? oriented by the outward unit normal n.

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A: Gauss Divergence Theorem∬F.ds=∭(∇·F)dv

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Q: Let S be the portion of the solid, D formed by a sphere x²+y²+z² = 16 and xy-plane for which the…

A: Solution is given below

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A: We will use the basic knowledge of vector calculus and integral calculus to answer this question.

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A: Solution is given below

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A: please see the next step for solution

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A: see below

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A: In this question, we need to find the flux of vector field by using the Gausses divergence theorem.

Q: Let F = 2xi+ 2yj+2zk be a vector field on R³. Use the Divergence Theorem to evaluate ff, F.n dS…

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