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Curves in Space: Parametric Equations and Surfaces
This lecture covers the equations for curves and surfaces in space, including parametric and particular surfaces. It explains how to calculate the length of a curve between two points and introduces the concept of surfaces of revolution. The instructor demonstrates how to determine the equation of a plane and discusses the normal vector. Additionally, the lecture explores parametric equations of surfaces of revolution and the concept of sweeping a curve around a fixed axis.
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