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I am having some trouble with this question Suppose that the vector field F = < y^2, 2 x y > and C is a

I am having some trouble with this question

Suppose that the vector field F = < y^2, 2 x y > and C is a curve that starts at (0,0) and goes to (1,2) along the parabola y = 2 x^2. Given :c F dr.

a. Prove that F is conservative.

b. Find the potential function.

c. Findc F dr by using the Fundamental Theorem of Line Integrals

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