Curves & Surfaces
A few examples of what you can ask Wolfram|Alpha about:
Plane Curves
compute properties of a named plane curve
compare curves
find curves of a given type
compute a particular property of a curve
compute derived curves
learn about the math behind drawing a popular curve
get closed-form equations for filled curves
Space Curves
compute properties of a named space curve
compute a particular property of a curve
Surfaces
compute properties of a named surface
compute a particular property of a surface