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A Circular Disk, S, of Radius 2 and Centered on an Axis

question 38

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A circular disk, S, of radius 2 and centered on an axis, is perpendicular to the y-axis at y = -6 with normal in the direction of decreasing y. Consider the vector field F=xi+yj+(z+x) k\vec { F } = x \vec { i } + y \vec { j } + ( z + x ) \vec { k } .Is the flux integral SFdA\int_{S} \vec{F} \cdot \overrightarrow{d A} positive, negative or zero?


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The opportunity cost principle denotes the value of the best alternative foregone when a decision is made to pursue a particular action.

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