Provide an Appropriate Response $f ( x , y )$ Given That

question 256

Multiple Choice

Provide an appropriate response.
-Find any local extrema (maxima, minima, or saddle points) of $f ( x , y )$ given that $f _ { x } = 8 x - 24$ and $f _ { y } = 2 y - 4$ .

• A) Local maximum at (3, 2)
• B) Saddle point at (2, 3)
• C) Local maximum at (2, 3)
• D) Local minimum at (3, 2)

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Definitions:

Social Equilibrium

Social equilibrium refers to a state of balance within a society, where social forces, interests, and values are stable and in harmony.

AGIL

A theoretical framework by Talcott Parsons that describes four basic functions necessary for the survival of any social system: Adaptation, Goal attainment, Integration, and Latency.

Sacrifice Freedom

The act of giving up personal liberties and choices for the benefit of a larger group, cause, or principle.

Hobbes's Ideas

The political philosophies of Thomas Hobbes, which emphasize the necessity of a strong central authority to avoid the chaos and conflict inherent in the state of nature.