The Temperature at the Point $( x , y , z )$

question 101

Multiple Choice

The temperature at the point $( x , y , z )$ in a substance with conductivity $K$ is $u ( x , y , z ) = 6 x ^ { 2 } + 6 y ^ { 2 }$ Find the rate of heat flow inward across the cylindrical $y ^ { 2 } + z ^ { 2 } = 6 , \quad 0 \leq x \leq 5$

• A) \(2530 \pi\)
• B) \(2560 \pi\)
• C) \(2520\)
• D) \(2540 \pi\)
• E) \(2520 \pi\)

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Definitions:

Predetermined Overhead Rate

A rate calculated at the beginning of a period, used to allocate manufacturing overhead to products based on a particular activity base, such as machine hours or labor hours.

Machine-Hours

A measure of production output or activity based on the hours that machinery is operational.

Plantwide Predetermined Overhead Rate

A single overhead rate calculated by dividing estimated total manufacturing overhead costs by an estimated total cost driver, applied throughout the entire plant.

Job-Order Costing System

An accounting method that tracks the costs associated with producing a specific item or providing a particular service.