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Six copies of the parabola y=x^2 are arranged in the plane so that each vertex is tangent to a circle, and each parabola is tangent to its two neighbors. Find the radius of the circle.
 

I think you have to get the degree of one parabola and then solve, but I'm not sure

 Jul 17, 2020
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Draw a tangent between two parabolas.  This leads to an answer of 5/8.

 Jul 18, 2020

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