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  3. 1 sketch the region below the graph of yvx and...

Question: 1 sketch the region below the graph of yvx and...

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(1) Sketch the region below the graph of y-vx and above the a-axis for 0 4 and find the volume of the solid produced when that region is revolved about the y-axis. (2) Sketch the region enclosed by the graphs of y sin(?), y-0, and z-yT, and find the volume of the solid produced when that region is revolved about the y-axis. (3) Sketch the region enclosed by the graphs of y = x, y = 3, and z-0, and find the volume of the solid produced when that region is revolved about the r-axis. (Note: r-axis.) (4) Sketch the region enclosed by the graphs of y 2,2 and y2-82 and find the volume of the solid produced when that region is revolved about the line x 4. (5) (Bonus question): Sketch the region enclosed by the graph of y 2x-x2 and the z-axis find the volume of the solid produced when that region is revolved about the y-axis.

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