Cylinders and Quadric Surfaces, Worked Examples - Calculus 3

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10 months ago
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Health & Science Education quadric surfaces calculus 3 quadric surfaces calc 3 cylinders and quadric surfaces cylinders and quadric surfaces in 3d quadric surfaces calculus 3 calculus cylinders quadric surfaces examples

This video explains cylinders and quadric surfaces in 3D space, including the equations, conic sections formed by intersections with planes, saddle points and how to sketch the main ones such as ellipsoids, elliptical cones, elliptical paraboloids, hyperbolic paraboloids and hyperboloids (with one and two sheets).

0:00 Cylinders
3:02 Quadric surfaces
5:24 Ellipsoids
9:42 Elliptical cone
12:55 Elliptical paraboloid
15:47 Hyperbolic paraboloid
20:01 Hyperboloid
25:12 Worked examples

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