Thursday, 10 October 2013

Tossed Coin

A square of 10 cms side has a circle of 1 cm diameter, whose centre is the centre of the square. A coin of diameter 1 cm is tossed onto the square. Find the probability that this tossed coin intersects the 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, ...