(Solution Library) Use Stoke's theorem to evaluate \oint_C F • d r F(x, y, z)=x y i+x^2 j+z^2 k C is the intersection of the paraboloid z=x^2+y^2 and
Question: Use Stoke's theorem to evaluate \(\oint_{C} F \cdot d r\)
\(F(x, y, z)=x y i+x^{2} j+z^{2} k\)
\(C\) is the intersection of the paraboloid \(z=x^{2}+y^{2}\) and the plane \(z=y\) with a counter clock wise orientation counter clock wise looking from the first octant toward the origin.
Deliverable: Word Document 
![[Solution Library] Use Stoke's theorem to evaluate](/images/solutions/MC-solution-library-53141.jpg "[Solution Library] Use Stoke's theorem to evaluate \oint_C F •")
[Solution Library] Use Stoke's theorem to evaluate \oint_C F •
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