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Problem 1 of 4 (2 pts each for 8 pts). Circle TRUE if the statement is always true or FALSE if the statement is ever

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Problem 1 of 4 (2 pts each for 8 pts). Circle TRUE if the statement is always true or FALSE if the statement is ever false. These are graded all or nothing and you do not need to show any work. . (TRUE / FALSE) If f has continuous partial derivatives on R3, then V . (V X f) = 0 . (TRUE / FALSE) If F and G are vector fields and V X F = V X G, then F = G . (TRUE / FALSE) If f is some scalar function and F is some vector field, then V . (f F) = (f) (V x F) + (Vf) XF . (TRUE / FALSE) If V X F = 0, then F is conservative

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