Find the Absolute Maxima and Minima of the Function on the Given

question 233

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = x ^ { 2 } + x y + y ^ { 2 } \text { on the square } - 8 \leq x , y \leq 8$$

• A) Absolute maximum: 192 at (8, 8) and (-8, -8); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 64 at (8, -8) and (-8, 8); absolute minimum: 48 at - 4, 8 , 4, -8 , 8, - 4 , and -8, 4
• C) Absolute maximum: 64 at (8, -8) and (-8, 8); absolute minimum: 0 at (0, 0)
• D) Absolute maximum: 192 at (8, 8) and (-8, -8); absolute minimum: 64 at (8, -8) and (-8, 8)

---

Definitions:

Procedural Values

The principles or standards that guide how decisions are made or actions are carried out within an organization or society, emphasizing the importance of the process used.

Social Weighting

The process of assigning importance or value to individuals or groups within a social context, often influencing decision-making and interactions.

Rationalization Strategy

A method for improving efficiency and productivity through the standardization of processes and the adoption of best practices.

Abstract Ideals

Concepts or beliefs that are not associated with any specific concrete object or instance, often representing perfect or idealized forms.