Question

Mathematically, the functions in Green’s theorem will be

(a) Continuous derivatives

(b) Discrete derivatives

(c) Continuous partial derivatives

(d) Discrete partial derivatives

The question was posed to me in exam.

This question is from Green’s Theorem topic in section Vector Calculus of Electromagnetic Theory

Answer 1

The correct choice is (c) Continuous partial derivatives

The best explanation: The Green’s theorem states that if L and M are functions of (x,y) in an open region containing D and having continuous partial derivatives then,

∫ (F dx + G dy) = ∫∫(dG/dx – dF/dy)dx dy, with path taken anticlockwise.