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Parametric equations, polar coordinates, and vector-valued functions

AP Calc: CHA (BI), CHA‑3 (EU), CHA‑5 (EU), CHA‑6 (EU), FUN (BI), FUN‑3 (EU), FUN‑8 (EU)
AP Calc: CHA (BI), CHA‑3 (EU), CHA‑3.G (LO), CHA‑3.G.3 (EK)
AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.G (LO), FUN‑3.G.1 (EK), FUN‑3.G.2 (EK)
AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)
AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)

About this unit

We are used to working with functions whose output is a single variable, and whose graph is defined with Cartesian, i.e., (x,y) coordinates. But there can be other functions! For example, vector-valued functions can have two variables or more as outputs! Polar functions are graphed using polar coordinates, i.e., they take an angle as an input and output a radius! Learn about these functions and how we apply the concepts of the derivative and the integral on them.
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