Figures 20.23 and 20.24 show the vector fields F and G .Each vector field has no

Chapter 20, Problem 29

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Figures 20.23 and 20.24 show the vector fields F and G .Each vector field has no z-component and is independentof z. All the axes have the same scales.(a) What can you say about div F and div G at the origin?(b) What can you say about curl F and curl G at theorigin?(c) Is there a closed surface around the origin such thatF has a nonzero flux through it?(d) Repeat part (c) for G .(e) Is there a closed curve around the origin such that Fhas a nonzero circulation around it?(f) Repeat part (e) for G .

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