To keep track of a location in a two-dimensional space, two measurements are needed. Most of the time, we would naturally think to do this by the Cartesian method, measuring position along one axis ...

Chalk is fun to draw with, and some people even get really good at using it to make art on the sidewalk. If you don’t like tediously developing such skills, though, you could go another route.

To sketch the graph of a polar equation a good first step is to sketch the graph in the Cartesian coordinate system. This will give a way to visualize how r changes with θ. The information about how r ...