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Let F=(3x2+y4sinx)i+(4y3cosx+z)jyk\vec{F}=\left(3 x^{2}+y^{4} \sin x\right) \vec{i}+\left(4 y^{3} \cos x+z\right) \vec{j}-y \vec{k}

question 18

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Let F=(3x2+y4sinx) i+(4y3cosx+z) jyk\vec{F}=\left(3 x^{2}+y^{4} \sin x\right) \vec{i}+\left(4 y^{3} \cos x+z\right) \vec{j}-y \vec{k} Is the value of the line integral of F\vec{F} along any loop zero?


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