Determine Whether There Is a Relative Maximum, a Relative Minimum $f ( x , y ) \text { at the critical point }$

question 93

Multiple Choice

Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient information to determine the nature of the function $f ( x , y ) \text { at the critical point }$ $\left( x _ { 0 } , y _ { 0 } \right) \text {, if } f _ { x x } \left( x _ { 0 } , y _ { 0 } \right) = 16 , f _ { y y } \left( x _ { 0 } , y _ { 0 } \right) = - 2 , f _ { x y } \left( x _ { 0 } , y _ { 0 } \right) = - 1$

• A) relative maximum
• B) relative minimum
• C) saddle point
• D) insufficient information .

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Definitions:

Moral Reasoning

The process of determining right and wrong in ethical situations, often guided by moral principles, values, and beliefs.

Longitudinal

A type of study or analysis that follows the same subjects over a period of time, observing changes and developments.

Four Years

A period equivalent to 48 months or the typical duration for completing an undergraduate degree.

Cross-sectional

A research method that involves examining data from a population at a single point in time to investigate relationships or outcomes.