Question: please need help with questions 2, 3, 12, 15 1-4 A solid is obtained by revolving the shaded region about the specified line. (a) Sketch
please need help with questions 2, 3, 12, 15

1-4 A solid is obtained by revolving the shaded region about the specified line. (a) Sketch the solid and a typical disk or washer. (b) Set up an integral for the volume of the solid. (c) Evaluate the integral to find the volume of the solid. 1. About the x-axis 2. About the x-axis y (4, 2) y = x2+5 y = vx y = 2X 3 X 10 3. About the y-axis 4. About the y-axis y = 9 (1, 2) (4, 2) (2, 1) y=x'+1 y = 2/x y = x/2 10 X 5-10 Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 5. y = Inx, y = 0, x =3; about the x-axis 6. x = \\5 - y, y =0, x =0; about the y-axis 7. 8y = x2, y = vx; about the y-axis 8. y = (x - 2)2, y = x+ 10; about the x-axis 9. y = sin x, y = 0, 0 x 7; about y = -2 10. y = Vx, y = 0, x =4; about x = 6 11-28 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 1, y = x + 1, y = 0, x = 0, x =2; about the x-axis 12./y = 1/x, y = 0, x = 1, x = 4; about the x-axis 13. y = Vx - 1, y =0, x =5; about the x-axis 14. y = e*, y = 0, x = -1, x = 1; about the x-axis 15. (x = 2vy, x =0, y =9; about the y-axis 16. 2x = y2, x = 0, y = 4; about the y-axis
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