Find the centroid of the solid bounded by x² = 4y and y = 5x - x² about the x-axis.
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- Find the centroid of a thin, flat plate covering the region enclosed by the parabolas y = 2x2 and y = 3 - x.Find the centroid of the region cut from the first quadrant by the curve y = 1/sqrt(x + 1) and the line x =3.Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2 and x = -2, and the parabola y = x2.
- Find the centroid of the region that is bounded by the line Y = 3X, the line X = 2 and the X axis.Find the centroid of the region above the X axis that is bounded by the Y axis and the line Y = 3 - 3X.Determine the centroid C (x,y) of the shaded region bounded by (y-20)^2 =16x, and the axes PS: its -16X not 16x
- Find the centroid of the boomerang-shaped region between the parabolas y2 = -4(x - 1) and y2 = -2(x - 2) in the xy-plane.Find the centroid of the region bounded by the curve y=x³ and y=4x in the first quadrant.Find the centroid of the region bounded by the graph of the parametric equations and the coordinate axes x = √(4 − t), y = √t