Locate the Local Maximum of the Function $f ( x , y ) = x ^ { 2 } y - 8 x ^ { 2 } - 4 y ^ { 2 }$

question 106

Multiple Choice

Locate the local maximum of the function. $f ( x , y ) = x ^ { 2 } y - 8 x ^ { 2 } - 4 y ^ { 2 }$

• A) \(( 8,4 , - 256 )\)
• B) \(( 0,0,0 )\)
• C) \(( - 8,8 , - 256 )\)
• D) \(( - 8 , - 4,0 )\)
• E) \(( 8,8 , - 256 )\)

---

Definitions:

Sacred Entity

An object, being, or concept that is considered holy, divine, or of supreme importance within a religious or spiritual belief system.

Spousal Abuse

Harmful, aggressive, or controlling behaviors perpetrated by one partner towards another within the context of marriage or a similar committed relationship.

Verbal Aggression

The use of words to harm others, which can include yelling, insults, or threats, differing from physical aggression.

Economic Difficulties

Pertains to financial challenges and hardships that affect individuals, families, businesses, or economies.