Assuming That S Satisfies the Conditions of the Divergence Theorem $\iint _ { s } 4 \mathbf { a } \cdot \mathbf { n } d S \text {, }$

question 31

Multiple Choice

Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives, find $\iint _ { s } 4 \mathbf { a } \cdot \mathbf { n } d S \text {, }$ where a is the constant vector.

• A) 8
• B) 6
• C) 5
• D) 7
• E) 0

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Definitions:

Profile

A description or analysis of something that presents its key characteristics or qualities.

Headwaters

The location or general area where a stream or river begins.

Perennial

Describes plants that live for more than two years or streams that flow continuously throughout the year.

Gradient

A rate of inclination or slope, or the rate at which a physical quantity changes with respect to change in another quantity.