Find the Equation of the Hyperbola with Center $( 2 , - 2 ) , a ^ { 2 } = 25$

question 64

Multiple Choice

Find the equation of the hyperbola with center $( 2 , - 2 ) , a ^ { 2 } = 25$ and $b ^ { 2 } = 4$ .

• A) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• C) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\quad \frac { ( x + 2 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)

Understand the implications of broad versus narrow definitions of leadership.

Appreciate the role of assumptions in dyadic leadership theories.

Recognize indicators of follower dissatisfaction.

Understand the subjective nature of leadership effectiveness ratings.

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Definitions:

Societies

Groups of individuals involved in persistent social interaction, or a large social grouping sharing the same geographical or virtual territory, subject to the same political authority and dominant cultural expectations.

Leader

An individual who guides or influences a group towards achieving a common goal or vision.

Organizations

Structured groups of people with specific purposes or goals, working together to achieve them.

Utilitarianism

An ethical theory suggesting that the best action is the one that maximizes utility, usually defined as maximizing happiness and reducing suffering.