Meaning of divergence and curl in the plane

Meaning of divergence and curl in the planeABSTRACT – Now — our last question: Suppose I’m given two functions f1(x,y) and f2(x,y). Is there a vector field F(x,y) with div(F(x,y)) = f1(x,y) and curl(F(x,y)) = f2(x,y)? If so, Is there a formula for fi …