Math 2415 Concept Quiz, Week 13 1. [3 pts] State the formula for the integral_C F · ds, of a vector field over an oriented curve.

2. [2 pts] Let F(x, y) = P(x, y)i + Q(x, y)j be a vector field in the plane. What does it mean to say that a vector field F is conservative?

3. [2 pts] Let F(x, y) = P(x, y)i + Q(x, y)j be a vector field in the plane. What condition on the partial derivatives of P and Q guarantees that F is conservative?

4. [3 pts] State Green's Theorem. Include a schematic diagram that explains how the boundary of the domain is oriented.