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) = x2 sin(y)i + x cos(y)j − xz sin(y)k, s is the "fat sphere" x8 + y8 + z8 = 8.

has divergence

so that the flux of across is 0 by the divergence theorem.

0

Step-by-step explanation:

According to the Divergence Theorem,

Here, for ,

Take

Differentiate with respect to respectively,

Therefore,

So,

i got 142 as my answer

step-by-step explanation:

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.