1. Let $A eq B \in \mathbb {R}^{2}$ be two fixed points in the plane and $m>0$ be a constant. What is the smallest possible value that $\int_{C} f(x, y) d s$ can have, if $f$ is any function such that $f(x, y) \geq m$ and $C$ is any smooth curve from $A$ to $B$ ? CS.VS. 1368||