Parametric Equations, Polar Coordinates, and Vector-Valued Functions

This study guide covers parametric equations, including defining, differentiating (first and second derivatives), and finding arc lengths. It also introduces vector-valued functions, focusing on defining, differentiating, integrating, and applying them to motion problems. Finally, it explores polar coordinates, covering defining, differentiating, and finding areas of single and multiple polar curves. Key formulas for each topic are emphasized.