Find the Centroid of the Region Bounded by the Graphs $y=15-x^{2}, \quad y=3-x$

question 37

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations. $y=15-x^{2}, \quad y=3-x$

• A) \(\left(\frac{1}{2}, \frac{37}{5}\right)\)
• B) \(\left(\frac{1}{2}, \frac{5}{2}\right)\)
• C) \(\left(\frac{5}{2}, \frac{1}{2}\right)\)
• D) \(\left(\frac{37}{5}, \frac{1}{2}\right)\)

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Definitions:

Ingratiation

A psychological technique where an individual attempts to become more likable to their target, often through flattery or other forms of manipulation.

Impression Management

The conscious or unconscious attempt by individuals to influence how others perceive them.

Flattery

The act of giving excessive praise or compliments, often to gain favor or advantage.

Favors

Acts of kindness beyond what is due or usual, often done to gain advantage or as a gesture of goodwill.