Solids of Revolution Solutions.pdf - Volume by Slicing Volume by Slicing Discussion Questions Problem 1 I The region bounded by y = x y = 3x and x = 2

Solids of Revolution Solutions.pdf - Volume by Slicing...

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Volume by Slicing Volume by Slicing Discussion Questions Problem1I. The region bounded byy=x,y= 3x, andx= 2is revolvedabout the linex= 5.We wish to compute the volume of the resultingsolid by integrating with respect tox. Which method (Washer or Shell)should be used to compute the volume?II. The region bounded byy=x,y= 0,x= 1andx= 4is revolved aboutthe linex= 8. We wish to compute the volume of the resulting solid usingthe Washer Method. Which variable should we integrate with respect toin order to compute the volume?III. The region bounded byy=-ex,y= 0,x= 1andx= 2is rotatedabout either a horizontal or a vertical line. Suppose that the volume ofthe resulting solid can be calculated using the Shell method, integratingwith respect toy. Was the axis of rotation horizontal or vertical?

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