Wednesday, 16 October 2013

A rod is broken

A rod is broken into three pieces; the two break points are chosen at random.
What is the probability that the three pieces can be joined at the ends to form a triangle? 

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Define f:RR by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...