Question: Use Stokes theorem to evaluate \(W=\int\limits_{C}{\mathbf{F}\cdot d\mathbf{r}}\) where \(\mathbf{F}(x,y,z)=3y\mathbf{i}-2x\mathbf{j}+4x\mathbf{k}\); C is the circle \({{x}^{2}}+{{y}^{2}}=9\), \(z=4\), oriented counterclockwise as viewed from above.