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1. Sketch a graph and shade the region bound by y = sqrt x-1, y = 1, x = 0, and y = 0. Set
1. Sketch a graph and shade the region bound by y = sqrt x-1, y = 1, x = 0, and y = 0. Set up an integral that could be used to find the volume of the solid obtained by rotating this region about the y- axis. DO NOT EVALUATE the integral, only set up the integral as dx or dy. 2. Sketch a graph and shade the region bound by y = x^2 and y = 1. Set up an integral that could be used to find the volume of the solid obtained by rotating this region about the line y = 2. DO NOT EVALUATE the integral, only set up the integral as dx or dy. 3. Sketch a graph and shade the region bound by y = sin x, y = e^x, the y-axis, and x = 1. Set up an integral that could be used to find the volume of the solid obtained by rotating this region about the line x = -1. DO NOT EVALUATE the integral, only set up the integral as dx or dy
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