Tuesday, 29 October 2013

the least possible value of (m + n)

If m, n are positive real numbers such that the lines mx + 9y = 5 and 4x + ny = 3 are parallel, find the least possible value of (m + n).
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...