6. Let D be the region bounded by the curves x = In y, y =...
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6. Let D be the region bounded by the curves x = In y, y = e2x and the line x = 1. (a) Sketch the region D and find its area. (b) Find the volume of the solid obtained by revolving the region D about the x-axis. (use the washers method) (c) Find the volume of the solid obtained by revolving the region D about the y-axis. (use the shell method) 6. Let D be the region bounded by the curves x = In y, y = e2x and the line x = 1. (a) Sketch the region D and find its area. (b) Find the volume of the solid obtained by revolving the region D about the x-axis. (use the washers method) (c) Find the volume of the solid obtained by revolving the region D about the y-axis. (use the shell method)
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