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For the following exercises, use a calculator to draw the region enclosed by the curve. Find the area $M$ and the centroid $(\overline{x}, \overline{y})$ for the given shapes. Use symmetry to help locate the center of mass whenever possible.Quarter-circle: $y=\sqrt{1-x^{2}}, \quad y=0, \quad$ and $x=0$

$M=\frac{\pi}{4}$ and $(\overline{x}, \overline{y})=\left(\frac{4}{3 \pi}, \frac{4}{3 \pi}\right)$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

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