Using the Divergence Theorem, Find the Outward Flux of F

question 121

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $$\mathbf { F } = x ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + z \mathbf { k } \text {; D: the solid cube cut by the coordinate planes and the planes } x = 3 , y = 3 \text {, and } z = 3$$

• A) 189
• B) 164
• C) 81
• D) 108

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Definitions:

First-In, First-Out Method

An inventory valuation method where the costs of the earliest goods purchased are the first to be recognized in determining cost of goods sold.

Equivalent Unit

A concept used in cost accounting to represent the portion of a product, in terms of material, labor, or overhead costs, completed within a given period, facilitating cost analysis.

Assembly Department

A division within a manufacturing facility where components are assembled into final products or where significant assembly activity takes place.

First-In, First-Out Method

An inventory valuation method where the goods first produced or acquired are sold or used before newer inventory.