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ButterflyEVE
ButterflyEVE
18.08.2020 • 
Mathematics

Let F(x,y)=−yi+xjx2+y2 and let C be the circle r(t)=(cost)i+(sint)j, 0≤t≤2π. A. Compute ∂Q∂x (y^2-x^2)/(x^2+y^2)^2 Note: Your answer should be an expression of x and y; e.g. "3xy - y"
B. Compute ∂P∂y (y^2-x^2)/(x^2+y^2)^2 Note: Your answer should be an expression of x and y; e.g. "3xy - y"
C. Compute ∫CF⋅dr 0 Note: Your answer should be a number
D. Is F conservative? Type Y if yes, type N if no.

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