2nd Putnam 1939

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Problem A1

Let C be the curve y2 = x3 (where x takes all non-negative real values). Let O be the origin, and A be the point where the gradient is 1. Find the length of the curve from O to A.

 

Solution

Ans: 8/27 (2√2 - 1). Trivial integration.

 


 

2nd Putnam 1939

© John Scholes
jscholes@kalva.demon.co.uk
4 Sep 1999