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

## Defining and differentiating parametric equations

### Practice

Parametric equations differentiationGet 3 of 4 questions to level up!

## Second derivatives of parametric equations

### Practice

Second derivatives (parametric functions)Get 3 of 4 questions to level up!

## Finding arc lengths of curves given by parametric equations

### Practice

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

## Defining and differentiating vector-valued functions

### Practice

Vector-valued functions differentiationGet 3 of 4 questions to level up!
Second derivatives (vector-valued functions)Get 3 of 4 questions to level up!

## Solving motion problems using parametric and vector-valued functions

### Practice

Planar motion (differential calc)Get 3 of 4 questions to level up!
Motion along a curve (differential calc)Get 3 of 4 questions to level up!
Planar motion (with integrals)Get 3 of 4 questions to level up!

## Defining polar coordinates and differentiating in polar form

### Practice

Differentiate polar functionsGet 3 of 4 questions to level up!
Tangents to polar curvesGet 3 of 4 questions to level up!

## Finding the area of a polar region or the area bounded by a single polar 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!

## Finding the area of the region bounded by two polar curves

### Practice

Area between two 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!