verify that the force F=xyi+xyj+yzk is conservative


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Question Number 170015 by Best1 last updated on 14/May/22

$v e r i f y t h a t t h e f o r c e$ $F = x y i + x y j + y z k i s$ $c o n s e r v a t i v e$
	Answered by ajfour last updated on 14/May/22

	$d W = x y d x + x y d y + y z d z$ $2 d W = y d (x^{2}) + x d (y^{2}) + y d (z^{2})$ $= y d (x^{2} + z^{2}) + x d (y^{2})$ $= y d (s^{2} - y^{2}) + x d (y^{2})$ $. . . .!!$
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