3D Coordinate Systems, Distance and Spheres in Space - Calculus 3

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Health & Science Education calculus 3 calculus distance formula in 3d calculus iii three dimensional coordinate systems distance formula calculus 3 3d coordinate systems three dimensional coordinate systems coordinate systems 3d coordinate systems

This Calculus III video explains 3D coordinate systems, including rectangular (Cartesian) vs cylindrical vs spherical coordinates and how to visualize them, extending the Pythagorean theorem to compute distance in 3D space, representing spheres in 3D space, geometric interpretations of inequalities, and worked examples.

0:00 3D Cartesian coordinate system
5:23 Cartesian vs cylindrical vs spherical coordinate systems
8:53 Distance in 3D space
10:45 Spheres, standard representation

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