Find the Flux of the Vector Field F(x, Y, Z) $\pi$

question 113

Multiple Choice

Find the flux of the vector field F(x, y, z) = 3z k across the sphere x² + y² + z² = 9 oriented outward.

• A) \(\pi\)
• B) 3 \(\pi\)
• C) 0
• D) 108 \(\pi\)
• E) \(\pi\)

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Definitions:

Predetermined Overhead Rate

An estimated rate used to assign manufacturing overhead costs to products based on a cost driver, calculated before the period begins.

Variable Manufacturing Overhead

Overhead costs that vary with production volume, including indirect labor and utilities.

Direct Labor-Hours

The total hours of labor time directly involved in producing goods or providing services, often used as a basis for allocating manufacturing overhead.

Fixed Manufacturing Overhead

Costs related to production that do not change with the level of output, such as rent, salaries of permanent staff, and depreciation of factory equipment.