Friday, 11 October 2013

M X N

If each of the m points in one straight line be joined to each of the n points by straight lines terminated then excluding the given points, find the number of points where the line will intersect.  

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