Examine the Function $f ( x , y ) = 5 x ^ { 2 } - 8 y ^ { 2 } - 3 x + 8 y + 4$

question 64

Multiple Choice

Examine the function $f ( x , y ) = 5 x ^ { 2 } - 8 y ^ { 2 } - 3 x + 8 y + 4$ for relative extrema.

• A)saddle point at \(\left( \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• B)relative minimum at \(\left( \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• C)saddle point at \(\left( - \frac { 3 } { 10 } , \frac { 1 } { 2 } \right)\)
• D)relative maximum at \(\left( \frac { 3 } { 10 } , - \frac { 1 } { 2 } \right)\)
• E)saddle point at \(\left( - \frac { 3 } { 10 } , - \frac { 1 } { 2 } \right)\)

Comprehend the impact of physical presence on leadership effectiveness.

Recognize the importance of feedback in leadership.

Identify and differentiate between various leadership styles, including autocratic, democratic, servant, and transformational leadership.

Understand the significance of adaptability and style flexibility in leadership.

---

Definitions:

Oil Crisis

A period marked by a significant increase in oil prices and a decrease in supply, leading to economic and political tensions globally.

United States

A country in North America consisting of 50 states and a federal district, known for its large size, diverse population, and influence in global affairs.

Europe

A continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere, known for its diverse cultures, languages, and histories.

Turning Point

A moment or event that marks a significant change or shift in direction, leading to new developments or transformations in various contexts, such as historical events, personal lives, or industries.