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Let R be the region bounded by y = et, x = 2, and y = - 2x + 1. (a) Sketch and shade R.

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Let R be the region bounded by y = et, x = 2, and y = - 2x + 1. (a) Sketch and shade R. (b) Using the Washer method, setup (but do not evaluate) the definite integral representing the volume of the solid generated by rotating R about the x-axis. (c) Using the Cylindrical Shell method, setup (but do not evaluate) the definite integral that represents the volume of the solid generated by rotating R about the line x = 3

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