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

please need help with questions 2, 3, 12, 15 1-4 A solid

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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