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Calculus II
Orientation refers to the direction in which a curve is traced as a parameter increases. It determines the order of traversal along the curve.
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Equations that express coordinates as functions of a parameter, typically written as $(x(t), y(t))$.
A coordinate system where each point on a plane is determined by an angle and a distance from a fixed point.
Tangent Vector: $\vec{r}'(t)$ represents the derivative of position vector with respect to parameter $t$, indicating direction and rate of change.