Solution: Divergence Theorem for more general regions Use

QUESTION:

Divergence Theorem for more general regions Use the Divergence Theorem to compute the net outward flux of the following vector fields across the boundary of the given regions D.

\(\mathbf{F}=\langle z-y, x-z, 2 y-x\rangle\); d is the region between two cubes: \(\{(x, y, z): 1 \leq|x| \leq 3,1 \leq|y| \leq 3,1 \leq|z| \leq 3\}\)

Text Transcription:

F = langle z - y, x - z, 2y - x rangle

{(x, y, z): 1 leq |x| leq 3, 1 leq |y| leq 3, 1 leq |z| leq 3}