Need Help with 12

11. 12. 13. 14. 15. 16. Find the center of mass of a the region of uniform density bounded by the curves y = + 1 and 1 y = 5x + 1. Find the centroid of the region of uniform density bounded by y : 352/3 and y = 4. Find the arc length of the curve given by :1: = x/y 3) between y = 0 and y : 9. 11' Find the arc length of the curve given by y : ln(cos LU) from a: = 0 to a: = g. Find the surface area of the surface of revolution obtained by rotating y = from a: = 4 to a: = 9 about the waxis. Now set up the integral that represents the area of the surface of revolution obtained if the same curve is revolved about the yaxis. Explain Why the two integrals are equal. Hint: Consider each as an arc length. 6 1 1 / 1+2d3::/ \\/1+2wd33 1V 3: 0