At What Point Is the Following Function a Local Maximum $$f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$$

question 76

Multiple Choice

At what point is the following function a local maximum?
$$f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }$$

• A) \(( 1,1 )\)
• B) \(( - 1,1 )\)
• C) \(( 3,1 )\)
• D) \(( 0,1 )\)
• E) \(( 1 , - 1 )\)

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Definitions:

Agreeableness

A personality trait featuring attributes like trust, altruism, kindness, and affection toward others.

Characteristic Adaptation

Patterns of behavior that are developed in response to the environment and are consistent over time and situations.

Basic Tendency

An underlying characteristic or predisposition to respond to the environment in a certain way, often considered stable over time.

Reticular Activating System

A network of nerves in the brainstem that plays a key role in regulating wakefulness, attention, and sleep-wake transitions.