Using integral calculus, solve problems 7.12, 7.13 and 7.14 analytically. 7.12. Using numerical methods, find the position of the center of mass of the semicircle. For ease of calculation, set R==1.00. 7.13. Using numerical methods, find the position of the center of mass of the hemisphere. 7.14.Using numerical methods, find the position of the center of mass of a right circular cone of height h=1, the generatrix of which makes an angle a with the height.

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