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Week 11 review problems for Calculus 3 (Fall 2024)

Beard Meets Calculus 2,129 3 months ago
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A set of problems that cover material from the eleventh week of Calculus 3 (e.g. integration in spherical/cylindrical coordinates and changing variables). For more information: https://www.calc3.org/ Presenter: Steve Butler (https://www.stevebutler.org/) 0:00 1-Find mass (cylindrical coordinates) 5:59 2-Set up volume integral (spherical coordinates) 16:30 3-Find new bounding curves (substitution) 24:06 4-Find center of mass (cylindrical coordinates) 39:51 5-Find volume (spherical coordinates) 48:34 6-Inertia (cylindrical coordinates) 58:54 7-Center of mass (spherical coordinates) 1:14:26 8-Convert integral to spherical coordinates 1:33:06 9-Change of variables (triangle) 1:46:39 10-Change of variables (square-ish)

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