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  • 09-03-2018
  • Mathematics
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Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

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MsEHolt MsEHolt
  • 19-03-2018
The graph of the region is attached.  The coordinates of the centroid are (5/3, 1).

The coordinates of the centroid are found by averaging the coordinates of the region;

Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1
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