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Let F ( x , y ) = 〈 e^x + y^2 − 3 , −...

Let F ( x , y ) = 〈 e^x + y^2 − 3 , − e ^(− y) + 2 x y + 4 y 〉. a) Determine if F ( x , y ) is a conservative vector field and, if so, find a potential function for it. b) Calculate ∫ C F ⋅ d r where C is the curve parameterized by r ( t ) = 〈 2 t , 4 t + sin ⁡ π t 〉 for 0 ≤ t ≤ 3

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