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For each of the following vector fields 𝐅, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ∇ f=𝐅 ) with f(0,0)=0. If it is not conservative, type N.A. 𝐅(x, y)=(10 x-4 y) 𝐢 (-4 x 12 y) 𝐣 f(x, y)=B. 𝐅(x, y)=5 y 𝐢 6 x 𝐣 f(x, y)=C. 𝐅(x, y)=(5 sin y) 𝐢 (-8 y 5 x cos y) 𝐣 f(x, y)=Note: Your answers should be either expressions of x and y (e.g. "3xy 2 y "), or the letter " N "Note: You c
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