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1. Find the area of the region bounded by the given curves y=x+3 and y = 5x - x. 2. Find the volume of

1. Find the area of the region bounded by the given curves y=x+3 and y = 5x - x. 2. Find the volume of the solid obtained by rotating the region bounded by y = x+2 and y = 3x about the line y = 1. 3. Consider the solid obtained by rotating the region bounded by y = x +3, y = 3 and x=2 about the y-axis. (a) Using the method of cylindrical shells, set up an integral for the volume of the solid. Do not evaluate the integral. (b) Using the method of disks/washers, set up an integral for the volume of the solid. Do not evaluate the integral.

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