Using the Divergence Theorem, Find the Outward Flux of F $\mathbf { F } = x y \mathbf { i } + \mathrm { y } ^ { 2 } \mathbf { j } - 2 y z \mathbf { k }$

question 257

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $\mathbf { F } = x y \mathbf { i } + \mathrm { y } ^ { 2 } \mathbf { j } - 2 y z \mathbf { k }$ ; $\mathrm { D }$ : the solid wedge cut from the first quadrant by the plane $\mathrm { y } + \mathrm { z } = 2$ and the parabolic cylinder $x = 1 - 16 y ^ { 2 }$

• A) \(\frac { 29 } { 960 }\)
• B) \(\frac { 7 } { 240 }\)
• C) \(\frac { 7 } { 120 }\)
• D) \(\frac { 1 } { 30 }\)