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1. Suppose that S is a positively-oriented (or outward-oriented) closed cylinder of radius R and nite height h. (a) Determine div F, where F; =

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1. Suppose that S is a positively-oriented (or outward-oriented) closed cylinder of radius R and nite height h. (a) Determine div F", where F; = (my, 3; + z, a: yz). (b) Use the Divergence Theorem to compute the ux of F" across 5' (Hint: you should not need to actually compute a triple integral here instead, think about what it represents)

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