Question
Find the volume of the shape generated by the region bounded above by f(x) = -x + 1, below by y = 1 from
Find the volume of the shape generated by the region bounded above by f(x) = -x + 1, below by y = 1 from [-2,0] on the x-axis about the line x = 2. You may use any method you wish (Cylindrical Shells, Washer, or Disk Method.) To receive full credit, make sure to show all calculus- based steps, justification for your limits of integration, all the arithmetic computations, and provide a sketch of the region, the shape generated, and a representative slice/shell for your calculations.
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