Using the Divergence Theorem, Find the Outward Flux of F $\mathbf { F } = \mathrm { e } ^ { \mathrm { yz } } \mathrm { i } + 6 \mathrm { yj } + 8 \mathrm { z } ^ { 2 } \mathbf { k } ;$

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $\mathbf { F } = \mathrm { e } ^ { \mathrm { yz } } \mathrm { i } + 6 \mathrm { yj } + 8 \mathrm { z } ^ { 2 } \mathbf { k } ;$ D: the solid sphere $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } \leq 64$

A) $12,288 \pi$
B) $36864 \pi$
C) $4096 \pi$
D) $\frac { 2048 } { 3 } \pi$