Find and Classify the Relative Extrema and Saddle Points of the Function

question 32

Multiple Choice

Find and classify the relative extrema and saddle points of the function $f ( x , y ) = e ^ { - 2 x } \sin 4 y$ for $x \geq 0$ and $0 \leq y \leq \frac { \pi } { 2 } .$

• A)
• None
• B)
• Relative maximum \(f \left( 0 , \frac { \pi } { 8 } \right) = 1\)
• C)
• Saddle point \(( 0,0,0 )\)
• D)
• Relative minimum \(f \left( 0 , \frac { \pi } { 4 } \right) = 0\)

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Definitions:

Job-Order Costing

A cost accounting system that assigns costs to specific jobs or batches, used in industries where products are distinctly different.

Predetermined Overhead Rate

An estimated overhead rate used to apply manufacturing overhead to products, calculated before the accounting period begins.

Direct Labor-Hours

The total hours worked by employees directly involved in the manufacturing process, used as a basis for allocating overhead costs.

Machine-Hours

A measure of the amount of time machines are operated during the production process, used for allocating costs or measuring productivity.