[Solution] Find the work done by the force field F on a particle that moves along the curve C. F(x, y, z)=x y i+y z j+x z k c: r(t)=t i+t^2 j+t^3
Question: Find the work done by the force field F on a particle that moves along the curve \(C\).
\(F(x, y, z)=x y i+y z j+x z k\)
\(c: r(t)=t i+t^{2} j+t^{3} k\)
Deliverable: Word Document 
![[See Steps] Find the work done by](/images/solutions/MC-solution-library-53138.jpg "[See Steps] Find the work done by the force field F on a particle")
[See Steps] Find the work done by the force field F on a particle
(See Solution) Show that the integral is independent of the path
![[All Steps] Use Stoke's theorem to evaluate](/images/solutions/MC-solution-library-53140.jpg "[All Steps] Use Stoke's theorem to evaluate \oint_C F • d")
[All Steps] Use Stoke's theorem to evaluate \oint_C F • d
![[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 •
(Solution Library) Show that the integral is independent of the
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