Multivariable Calculus Quiz
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SURFACE INTEGRALS
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Consider a vector field F(x,y,z)=(P(x,y,z),Q(x,y,z),R(x,y,z))\mathbf{F}(x,y,z) = (P(x,y,z), Q(x,y,z), R(x,y,z)) where PP, QQ, and RR are continuously differentiable functions. If the flux of F\mathbf{F} through every closed surface in a region is zero, and you need to compute the flux through an open surface SS with boundary curve CC, which approach is most appropriate?
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