Verify that the divergence theorem is true for the vector field f on the region e. f(x, y, z) = z, y, x , e is the solid ball x2 + y2 + z2 ≤ 64 for your answer, put in the flux across the boundary of e with respect to the outward normal.

has divergence 1, so by the divergence theorem, the flux of across the boundary of is exactly the volume of ,

or simply .

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3