Use a Computer Algebra System to Compute the Flux Of \mathbf

question 65

Multiple Choice

Use a computer algebra system to compute the flux of $\mathbf { F }$ across $S$ . $S$ is the surface of the cube cut from the first octant by the planes
$$x = \frac { \pi } { 2 } , y = \frac { \pi } { 2 } , z = \frac { \pi } { 2 }$$
$\mathbf { F } ( x , y , z ) = 5 \sin x \cos ^ { 2 } y \mathbf { i } + 5 \sin ^ { 3 } y \cos ^ { 4 } z \mathbf { j } + 5 \sin ^ { 5 } z \cos ^ { 6 } x \mathbf { k }$

• A) \(5 \pi ^ { 2 }\)
• B) \(95 \pi ^ { 2 }\)
• C) \(\frac { 5 \pi ^ { 2 } } { 64 }\)
• D) \(\frac { 95 \pi ^ { 2 } } { 64 }\)
• E) \(\frac { 95 \pi ^ { 2 } } { 32 }\)

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Definitions:

Batch Processing

A method of processing data where a group of transactions is gathered over a period and processed together at once.

Completeness

The attribute of being whole or perfect, with no missing parts or elements.

Consistency

In the context of data, it refers to the reliability and uniformity of information stored across a database or a system.

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Pertaining to a set of letters or symbols arranged in a customary fixed order used in written language.