5. (6 points) The distance d(C, C) between two curves C and C is defined to be the minimum distance between a point on C and a point on C, that is, d(C, C) d(A, B). min min AEC,BEC (Here, we assume this minimum value exists). -6 C d(A, B) 2 S B Let C be defined by the equation (x+7/2)2+(y-1) = 1, and let C be defined by the equation y = 1/x with x > 0; see the above picture. Find the distance d(C, C) between these two curves, and justify your answer.