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Find a Function Of f(x,y)f ( x , y ) Such That

Question 143

Essay

Find a function of f(x,y)f ( x , y ) such that ∇f=F(x,y)=⟨xy2+2,x2y+2⟩\nabla f = \mathrm { F } ( x , y ) = \left\langle x y ^ { 2 } + 2 , x ^ { 2 } y + 2 \right\rangle .

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