Question: 5. Determine whether or not the vector function is the gradient Vf (x, y) of a function everywheredefined. If so, find all the functions with

5. Determine whether or not the vector function is the gradient Vf (x, y) of a function everywheredefined. If so, find all the functions with that gradient.(5e"+2xy) i +(x2+ sin(y))ja. Not a gradientb.5e +2 x y + Cc.5 e"+ x y - cos(y)+ Cd.5 e y + x y + C132 x + sin(y) x + Ce.f. None of these

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