Determine whether the following vector field is conservative on an open region R$^(*)$ of R$^(2)$ that does not include the origin. If so$,$ determine the potential function. F$=(($:$6$x$,4$y:$))/(\backslash$sqrt$(6$x$^(2)+4$y$^(2)))$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A$.$ F is conservative on R$^(*).$ Assuming the arbitrary constant is $0,$ the potential function is $\backslash$phi $($x$,$y$)=$ B$.$ F is not conservative on R$^(*).$