Come up with your own non-constant conservative vector field…
Come up with your own non-constant conservative vector field F→\style{font-size:35px}{\vec{F}}. Show that is it conservative. Then, find the work done by F→\style{font-size:35px}{\vec{F}} over the curve starting at (5,5)\style{font-size:35px}{(5,5)}, looping around the arrow on the x-\style{font-size:35px}{x-}axis, visiting Neptune, traveling to another universe, then coming back and ending up back at (5,5)\style{font-size:35px}{(5,5)}.Hint: work can be represented by ∫CF→∙ dr→\style{font-size:35px}{\int_C{\vec{F}\bullet\ d\vec{r}}}.