Find the Center of Mass of a Thin Plate of Constant

question 28

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region cut from the first quadrant by the circle $x ^ { 2 } + y ^ { 2 } = 49$

• A) \(\bar { x } = 0 , \bar { y } = \frac { 28 } { 3 \pi }\)
• B) \(\bar { x } = \frac { 7 } { 2 } , \bar { y } = \frac { 7 } { 2 }\)
• C) \(\bar { x } = \frac { 7 } { 3 \pi } , \bar { y } = \frac { 7 } { 3 \pi }\)
• D) \(\bar { x } = \frac { 28 } { 3 \pi } , \bar { y } = \frac { 28 } { 3 \pi }\)

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Definitions:

Extraversion

A personality trait characterized by outgoingness, sociability, and a high level of activity.

Neuroticism

A personality trait characterized by a tendency to experience negative emotions such as anxiety, fear, moodiness, worry, envy, frustration, jealousy, and loneliness.

Neuroticism

A personality trait characterized by a tendency towards anxiety, depression, self-doubt, and other negative emotional states.

Conscientiousness

A personality trait characterized by diligence, carefulness, thoroughness, and the desire to do a task well.