Question
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. If it is not, enter NONE.
F(x, y) = (3x^2 − 2y^2) i + (4xy + 2) j
F(x, y) = (3x^2 − 2y^2) i + (4xy + 2) j
Answers
Since ∇✕<b>F</b> = 8y<b>k</b> ≠ <b>0</b>, <b>F</b> is not conservative.