What distinguishes a level set from a level curve in multi-variable calculus?

[Calpalned]

Whats the difference between a level set and a level curve, with regards to multi-variable calculus?

 

[MisterX]

They are very similar concepts but a level set is merely a set of points $\mathbf{x}$ such that $f(\mathbf{x}) = c$, and a level curve is a special case when those points take the form of a curve.

 

[Calpalned]

Thank you

They are very similar concepts but a level set is merely a set of points $\mathbf{x}$ such that $f(\mathbf{x}) = c$, and a level curve is a special case when those points take the form of a curve.

Thank you

 

[HallsofIvy]

Calpalned, you asked this same question under "Calculus and Beyond Homework". Please do not post the same question more than once. That can get you suspended.