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Let F⃗(x,y)\vec { F } ( x , y ) Be the Vector Field

Question 14

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Let F⃗(x,y)\vec { F } ( x , y ) be the vector field F⃗=(12x2+2x)j⃗\vec{F}=\left(12 x^{2}+2 x\right) \vec{j} Find ∫CF⃗⋅dr⃗\int _ { C } \vec { F } \cdot d \vec { r } using Green's theorem, if C is the unit circle traveled counterclockwise.

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