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Find the Centroid of the Region Bounded by the Graphs y=x4x2,y=0,x=2,x=2y = | x | \sqrt { 4 - x ^ { 2 } } , \quad y = 0 , \quad x = - 2 , \quad x = 2

question 81

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Find the centroid of the region bounded by the graphs of the given equations.
y=x4x2,y=0,x=2,x=2y = | x | \sqrt { 4 - x ^ { 2 } } , \quad y = 0 , \quad x = - 2 , \quad x = 2

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Definitions:

Olympus Mons

The largest volcano in the solar system, located on Mars, standing about 22 kilometers high.

Volcano

An opening in the Earth's surface through which molten rock, ash, and gases are ejected or flow out.

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The study of the Earth's structural features, including its crust and mantle movements, which can lead to earthquakes, volcanoes, and mountain building.

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The sudden failure or caving in of a structure or geological feature due to weakening or underlining destabilization.

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