The arc length of a curve is the distance along the curve between two points. It measures how long the curve is.
Imagine you are walking along a curvy path in a park. The arc length is like measuring how far you have walked from the starting point to your current position.
Parametric Equations: These equations describe the coordinates of points on a curve using parameters or variables. They can be used to represent curves in terms of time or other independent variables.
Vector-Valued Functions: These functions assign vectors to each input value, which can be used to represent curves in three-dimensional space.
Tangent Line: A line that touches a curve at only one point and has the same slope as the curve at that point. It represents the instantaneous direction of motion along the curve.
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