Practice 1-A problems for Calculus 3 (Fall 2025) --- Coordinate systems and vectors скачать в хорошем качестве

Practice 1-A problems for Calculus 3 (Fall 2025) --- Coordinate systems and vectors

Vimeo (ad-free) link to same video: https://vimeo.com/1114085772 A set of problems that cover material from the first week of the first block for Calculus 3 (e.g. coordinate systems and vectors). For more information, including scanned copies of the material: https://www.calc3.org/ Presenter: Steve Butler (https://www.stevebutler.org/) 0:00 Intro 0:40 1-Make three points collinear 9:24 2-Rewrite plane using spherical coordinates 15:43 3-Minimum distance between spheres 27:10 4-Identify sphere in spherical coordinates 34:11 5-Axis of circular cylinder 43:24 6-Find volume between two spheres 54:28 7-Find unit vector 1:05:13 8-Volume of solid in cylindrical coordinates 1:17:51 9-Find linear combination of vectors 1:29:05 10-Find point nearest to a line