Question: 6. Determine whether or not the vector function is the gradient Vf (x, y) of a function everywhere defined. If so, find all the functions

6. 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 xe +x y)it (5ye - 2y)j a. Not a gradient b. 5yet -2y +C c. 5ye" - xy+C d. 5xe +-x- 2 x 2 y + C e. 5xe" - x'y + C f. None of these

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