(See Solution) Compute the curl of F(x, y, z)=(e^x √1+x^2)/(1+ sin ^4 x) \vecimath+((1+y^2 cos y)^27)/(1+(arctan ^2 y)) \vecjmath+(z^7+z^6+2 ln (1+z^2))/(z^8+2)


Question: Compute the curl of

\[\vec{F}(x, y, z)=\frac{e^{x} \sqrt{1+x^{2}}}{1+\sin ^{4} x} \vec{\imath}+\frac{\left(1+y^{2} \cos y\right)^{27}}{1+\left(\arctan ^{2} y\right)} \vec{\jmath}+\frac{z^{7}+z^{6}+2 \ln \left(1+z^{2}\right)}{z^{8}+2} \vec{k}\]

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