Find the Centroid of the Region Bounded by the Graphs $$y = | x | \sqrt { 16 - x ^ { 2 } } , \quad y = 0 , \quad x = - 4 , \quad x = 4$$

question 72

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations.
$$y = | x | \sqrt { 16 - x ^ { 2 } } , \quad y = 0 , \quad x = - 4 , \quad x = 4$$

• A) \(\left( \frac { 5 } { 16 } , 0 \right)\)
• B) \(\left( \frac { 16 } { 5 } , 0 \right)\)
• C) \(\left( 0 , \frac { 5 } { 16 } \right)\)
• D) \(\left( 0 , \frac { 16 } { 5 } \right)\)

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