Friday, 25 October 2013

drawn centered at the origin

A circle of radius 6 is drawn centered at the origin. How many squares of side length 1 and integer
coordinate vertices intersect the interior of this circle?

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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, ...