Sunday, 27 October 2013

A line in the plane is called strange

A line in the plane is called strange if it passes through (a, 0) & (0, 10 - a)  for some a
in the interval [0,10].  A point in the plane is called charming if it lies in the fi rst quadrant
and also lies below some strange line. What is the area of the set of all charming points?

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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, ...