[Solved] Evaluate \oint_C F • d r, where F(x, y, z)=y i-x j+y z k, C is the curve of intersection of the cylinder x^2+y^2=4 and the plane z=5-y, using:
Question: Evaluate \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(\mathbf{F}(x, y, z)=y \mathbf{i}-x \mathbf{j}+y z \mathbf{k}, C\) is the curve of intersection of the cylinder \(x^{2}+y^{2}=4\) and the plane \(z=5-y\), using: (a) Line Integrals, (b) Stokes' Theorem.
Deliverable: Word Document 
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