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**Unformatted text preview: **written as an iterated integral. 6. Know how to calculate areas and volumes with double integrals in both Cartesian and polar coordinates. 7. Know how to calculate volumes with triple integrals in Cartesian, cylindrical, and spherical coordinates. 8. Know how to calculate centroids and centers of mass in Cartesian, cylindrical and spherical coordinates. 9. Pappuss 1 st Theorem....

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