5. (6 points) The distance d(C, C) between two curves C and C is defined to...
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5. (6 points) The distance d(C₁, C₂) between two curves C₁ and C₂ is defined to be the minimum distance between a point on C₁ and a point on C₂, that is, d(C₁, C₂) d(A, B). min min AEC₂,BEC₂ (Here, we assume this minimum value exists). -6 C₁ d(A, B) 2 S B Let C₁ be defined by the equation (x+7/2)2+(y-1)² = 1, and let C₂ be defined by the equation y = 1/x with x > 0; see the above picture. Find the distance d(C₁, C₂) between these two curves, and justify your answer. 5. (6 points) The distance d(C₁, C₂) between two curves C₁ and C₂ is defined to be the minimum distance between a point on C₁ and a point on C₂, that is, d(C₁, C₂) d(A, B). min min AEC₂,BEC₂ (Here, we assume this minimum value exists). -6 C₁ d(A, B) 2 S B Let C₁ be defined by the equation (x+7/2)2+(y-1)² = 1, and let C₂ be defined by the equation y = 1/x with x > 0; see the above picture. Find the distance d(C₁, C₂) between these two curves, and justify your answer.
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