Let f = (ax + by + 4z) i + (x + cz) j + (9y + mx) k where a, b, c, and m are constants. a. suppose that the flux of f through any closed surface is 0. which of the constants can be determined?

Let be an arbitrary closed region with boundary the surface . By the divergence theorem,



We have



so that the flux satisfies



We're assuming is a closed region, and the integral above is its volume, which must be positive. This means we must have .

Is 8.50 an answer or no? ?

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