1. Suppose you have a circular tank with a 3 meter diameter and 2 meter height that is completely filled with water. Set up, DO NOT EVALUATE, a single integral to find the work required to empty the entire tank. Note that water weighs 9800 kg/m3 .
2.Consider the region bounded by the curves y =x^2 and y = 3x is rotated about the x-axis. Use the disc/washer method to set up, DO NOT EVALUATE, a single integral to find the volume of the resulting solid.
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