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Determine whether $\int_{C} \mathbf{F} \cdot$ dr along the paths $C_{1}$ and $C_{2}$ shown in the following vector fields is positive or negative. Explain your reasoning.

(FIGURE CANNOT COPY)

$C_{1}$ negative, $C_{2}$ positive

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Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Boston College

from draft in question. A 49 for the given curve. C one Most of the points on the girl or pointing against the victor filled. Hence integral partial C one if he X is negative. Similarly forgiven Curve C two most off the points on the curve or pointing along the victor field. Hence integral partial See he to it's the X is poster.