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Use the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the y-axis.

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the y-axis. 2 y=x , y=4-3x, x=0, for x20 The volume is (Type an exact answer in terms of x. )Use the shell method to find the volume of the solid generated by revolving the region bounded by y = 10x - 9, y = , x, and x =0 about the y-axis. The volume is cubic units. (Type an exact answer, using x as needed.)Use the shell method to find the volume of the solid generated by revolving the region bounded by x = 6y - y and x =0 about the x-axis. The volume of the solid is cubic units. (Type an exact answer, using It as needed)Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about the x-axis. x - 5 y= vx, y=0, y=- 4 The volume is (Type an exact answer, using x as needed.)Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x =2 about the following lines a. The y-axis b. The line x = 6 C. The line x = - 7 d. The x-axis e. The line y = 7 f. The line y = - 2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. dx

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