# Stoke's Theorem

Find the work done by the vector field $F(x,y,z)=(-y,x,0)$ when displacing a particle on the boundary of the surface parameterized by $p(r,\theta)=(r(2+cos \theta)cos\theta, r(2+cos \theta)sin \theta, sin \theta)$ where $0 \leq r<1,0<\theta<2\pi$.

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Low bounty!

Bounty seems too low.

The range of theta looks suspicious too, it probably goes from 0 to 2pi.

very suspicious. also, p(.) has only 2 components, how's that a surface in R^3?

Please double check the statement of your question. There seems to be typoes.

Ok, I changed it.

There is still a typo on the first component of p(r,theta)