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SpringWater
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Homework Statement
The problem is attached with my work so far.
Consider the vector Field F, where C is the perimeter of the circle of radius 3 centered at (2,5)
Homework Equations
∫ Mdx+Ndy----->∫∫ (∂N/∂x)-(∂M/∂y) da
The Attempt at a Solution
Attached is my work thus far. I am having trouble figuring out how to answer this question. I know that I cannot find a potential function f: ∇f=F because ∂M/∂y ≠ ∂N/∂x so i am assuming I could use greens thrm or another method in which i would just do ∫F(r(t)) (dot) (dr/dt)*(dt) (attached second picture) but i am unsure if I parametrized the circle correctly.
Any help would be greatly appreciated. Also I am unable to find a similar question in my textbook, if anyone can point me in the right direction to a similar problem that would also be great.
thank you
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