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.

Gexpressions: practice question 3 of 5 jackson wants to study the popularity of his music video by tracking the number of views the video gets on his website. the expression below represents the total number of views that jackson's video receives n days after he begins tracking the nu views, where b is the rate at which the number of views changes. alb)" select the statement that would accurately describe the effect of tripling a, the initial number of views before jackson beginst the rate at which the number of views changes, b, will triple. the total number of views the video has after n days, a(b)", will not change. the total number of days since jackson begins tracking views, n, will be reduced by one-third. the total number of views the video has after n days, alb)", will triple. submit