Consider the vector field F(x,y)=(4x^3y^2−2xy^3)i+(2x^4y−3x^2y^2+4y^3) a. Find the potential function f(x,y). b. Determine the work done by the vector field in moving a particle along a curve C from (1,2) to (3,1).

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Consider the vector field F(x,y)=(4x^3y^2−2xy^3)i+(2x^4y−3x^2y^2+4y^3)

a. Find the potential function f(x,y).

b. Determine the work done by the vector field in moving a particle along a curve C from (1,2) to (3,1).

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