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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.1 (EK)
AP Calc: CHA (BI), CHA‑3 (EU), CHA‑3.G (LO), CHA‑3.G.3 (EK)
Level up on the above skills and collect up to 300 Mastery points
Level up on the above skills and collect up to 500 Mastery points
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)
AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)
Level up on the above skills and collect up to 600 Mastery points
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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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