# The arc of the parabola

line x = 4. 8. The arc of the parabola π¦ = 2 + π₯ 2 in the first quadrant on [0 2] is rotated about the y-axis. Find the area of the surface generated. 9. Find the area of the region bounded by: π¦ 2 + 1 = π₯ πππ π¦ = π₯ β 3 10. Find the volume of the solid obtained by revolving the region in QI bounded by 2 y = e β2 x , y = 0, x = 0, x = 2 about the y-axis Find the volume of the solid obtained by revolving the region bounded by: π¦ = π₯ 2 , π¦ = βπ₯ about 11. the line y = 2 12. the line x = 1 13. Use integration to find the area of the triangle having the given vertices (0, 0), (a, 0), (b, c). 14. Find the center of mass of the lamina with density,πΏ, bounded by the graphs of 3 π¦ = βπ₯ πππ π¦ = π₯ 2

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