Examine the Function Given Below for Relative Extrema and Saddle $f ( x , y ) =$

question 17

Multiple Choice

Examine the function given below for relative extrema and saddle points. $f ( x , y ) =$ $\frac { x y } { 2 }$

• A)The function has a saddle point at \(( 0,0,0 )\) .
• B)The function has a relative maximum at \(( 0,0,0 )\) .
• C)The function has a relative minimum at \(( 0,0,0 )\) .
• D)The function has a saddle point at \(( 0,0,2 )\) .
• E)The function has a relative maximum at \(( 0,0,2 )\) .

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Definitions:

Probabilities

The likelihood or chance of an event occurring, typically expressed as a number between 0 and 1, where 0 means the event cannot occur and 1 indicates certainty.

Outcomes

The results obtained from an action, experiment, or event, which can vary based on the conditions and processes involved.

Sample Points

Individual elements or cases selected from a population, usually in the context of statistical sampling.

Applications

The practical uses or relevance of a theory, tool, or concept in real-world situations or specific fields.