Determine which of the following vector fields
F in the plane is the gradient of a...
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Determine which of the following vector fieldsF in the plane is the gradient of a scalarfunction f. If such an f exists, find it. (If ananswer does not exist, enter DNE.)
F(x, y) = 3xi + 3yj
f(x, y) =
F(x, y) = 6xyi + 6xyj
f(x, y) =Â Â
F(x, y) = (4x2 + 4y2)i + 8xyj
f(x, y) =
 Â
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