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.

the answer is somewhere there guys it really . there im just not gonna answer

step-by-step explanation:

but i'm guessing ur first option tho

the answer is 9.8975

explanation:

when you multiply the "39.59" with the 25% it reduces it and shows its final discounted price. hope this !

step-by-step explanation:

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

about 168 miles

step-by-step explanation: