Using the Divergence Theorem, Find the Outward Flux of F $\mathbf { F } = - 12 \mathrm { xz }^ 5 \mathrm { i } + 2 \mathrm { yj } + 2 \mathrm { z } ^ { 6 } \mathbf { k } ;$

question 236

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $\mathbf { F } = - 12 \mathrm { xz }^ 5 \mathrm { i } + 2 \mathrm { yj } + 2 \mathrm { z } ^ { 6 } \mathbf { k } ;$ D: the solid wedge cut from the first quadrant by the plane $\mathrm { z } = 4 \mathrm { y }$ and the elliptic cylinder $x ^ { 2 } + 25 y ^ { 2 } = 49$

• A) \(\frac { 1000 } { 147 }\)
• B) \(\frac { 1372 } { 75 }\)
• C) \(\frac { 392 } { 75 }\)
• D) \(\frac { 2744 } { 75 }\)

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Definitions:

Direct Control

Supervising employees in explicit ways and monitoring their behavior to make sure they are performing adequately.

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Technological Control

The use of various forms of organizational technology to control worker productivity.