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This 4-page document provides instructions for calculating the volume and surface area of two unbounded solids of revolution. Students are asked to sketch the regions, set up improper integrals to represent the volume and surface area, and evaluate the integrals to solve for each. For the second solid, a trig substitution and u-substitution are required. Students are then asked to analyze how viewing volume as amount of paint to fill and surface area as amount to coat the surface reveals a paradox with one

Author

asianpanda14

Language

EN