Question 12.1: A parabolic semisegment OAB is bounded by the x axis, the y ...
A parabolic semisegment OAB is bounded by the x axis, the y axis, and a par-abolic curve having its vertex at A (Fig. 12-5). The equation of the curve is
y=f(x)=h\left(1-\frac{x^{2}}{b^{2}}\right) (a)
in which b is the base and h is the height of the semisegment.
Locate the centroid C of the semisegment.
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