Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = xyezi + xy2z3j − yezk, s is the surface of the box bounded by the coordinate plane and the planes x = 7, y = 2, and z = 1.

By the divergence theorem, the surface integral of across the closed surface is equal to the integral of the divergence of over the region enclosed by .

The divergence of is

Then the flux of across is

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )