2. Below is a plot of the field F(x, y) = (y, x - y) and...

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2. Below is a plot of the field F(x, y) = (y, x - y) and the circle x + y = 1. a) There are four points on the circle where the field is tangent to the circle. Find them. b) Find a potential function (x, y) such that V = . That is, find (x, y) such that 84 = Y and =x-y. x 2. Below is a plot of the field F(x, y) = (y, x - y) and the circle x + y = 1. a) There are four points on the circle where the field is tangent to the circle. Find them. b) Find a potential function (x, y) such that V = . That is, find (x, y) such that 84 = Y and =x-y. x