Hi, iam James Gilman, G’day, mate.

What Is A Piecewise Smooth Curve? [Solved]

1The precise definition of a piecewise smooth curve is that you want the derivative ˙c(t) = (˙x(t), ˙y(t)) to exist. and be continuous for all except maybe finitely many t ∈ [a, b], and the side limits limt→t± 0. ˙x(t) to exist for all t0 ∈ [a, b].

Definition of a piecewise smooth curve

and how it relates to line integrals.

#01 Type of curves | oriented curve | closed curve | smooth curve | piecewise smooth curve | unit

01 Type of

3.2 Smooth and piecewise smooth functions

We introduce smooth and