Dr. John Rosson's Presentation

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Dr. John Rosson gave a presentation on Tuesday, April 7th 2009:

What is the area of the largest circle that can be inscribed between the graphs of f(x)=x2 and g(x)=x3 on  [0,1]? 

This problem was proposed by one of Dr. Abey's students.  John Rosson developed a beautiful Mathematica notebook which solves the problem to a high degree of precision.  The notebook also contains stunning visual images related to the solution.

 

Mathematica Notebook