Question: Problem 2.In this problem, we aim to reconstruct the potential of a gradient field fromthe given vector field by integration.If a vector field F=(:P,Q:)is conservative

Problem 2.In this problem, we aim to reconstruct the potential of a gradient field fromthe given vector field by integration.If a vector field F=(:P,Q:)is conservative inan open domain DsubR2, then there exists asmooth scalar function f(x,y) such that F=gradfU is-f. The potential function can be derived through a line integral, a fundamental result inmultivariable calculus.a(x0,y0)inD and define f(x,y)as follows for any arbitrary (x,y)inD :f(x,y)=(x0)(x,y),y,y0

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