Solve the Problem $\delta = 3$ Bounded by The $x$ -Axis and the Curve

question 11

Multiple Choice

Solve the problem.
-Find the center of mass of the thin semicircular region of constant density $\delta = 3$ bounded by the $x$ -axis and the curve $y = \sqrt { 25 - x ^ { 2 } }$ .

• A) \(\bar { x } = 0 , \bar { y } = \frac { 40 } { 3 \pi }\)
• B) \(\bar { x } = 0 , \bar { y } = \frac { 5 } { 3 \pi }\)
• C) \(\bar { x } = 0 , \bar { y } = \frac { 20 } { 3 \pi }\)
• D) \(\bar { x } = 0 , \bar { y } = \frac { 10 } { 3 \pi }\)

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