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

5. Determine whether or not the vector function is the gradient Vf (x, y) of a function everywhere defined. If so, find all the functions with that gradient. (5 e + 2 xy) it ( x + sin(y) ) j a. Not a gradient b. 5e+ 2xy+ C c. 5e + x y - cos(y) + C d. 5ey+xy + C 1 3 e. 3 x + sin(y ) x + C f. None of these

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