Question: Problem 2. Consider the vector field,F (x, y)=y, x2y +2y , y >0.(1) Determine if F is conservative;(2) If yes find the potential function f

Problem 2. Consider the vector field,F (x, y)=y, x2y +2y , y >0.(1) Determine if F is conservative;(2) If yes find the potential function f (x, y) such that F =f ;(3) Evaluate the line integral RC F dr where C is the curve r (t) :=3+cos(t2),3+ sin(t2),0 t 2.

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