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# Parametric equations, polar coordinates, and vector-valued functions

## Arc length: parametric curves

Practice
Parametric curve arc lengthGet 3 of 4 questions to level up!

## Planar motion

Practice
Planar motion (with integrals)Get 3 of 4 questions to level up!

## Area: polar regions (single curve)

Practice
Area bounded by polar curves introGet 3 of 4 questions to level up!
Area bounded by polar curvesGet 3 of 4 questions to level up!

## Area: polar regions (two curves)

Practice
Area between two polar curvesGet 3 of 4 questions to level up!

## Arc length: polar curves

Practice
Arc length of polar curvesGet 3 of 4 questions to level up!

## Calculator-active practice

Practice
Area with polar functions (calculator-active)Get 3 of 4 questions to level up!

### 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 concept of the integral on them.