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(Solved): 6. Find the centroid of the region bounded by the curve \( f(x)=x^{2}-4 \) and the line \( g(x)=x-2 ...




6. Find the centroid of the region bounded by the curve \( f(x)=x^{2}-4 \) and the line \( g(x)=x-2 \). Assume constant densi
6. Find the centroid of the region bounded by the curve \( f(x)=x^{2}-4 \) and the line \( g(x)=x-2 \). Assume constant density. (9 pts.)


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f(x)=x2?4, g(x)=x?2 f(x)=g(x)?(x2?4)=(x?2) ?(x?2)(x+2)=(x?2)?(x?2)(x+1)=0?x=2,?1 Hence region will in
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