Sunday 15 August 2021

The number of ways one can express \(2^{2} 3^{3} 5^{5} 7^{7}\) as a product of two numbers \(a\) and \(b\), where \((a, b)=1\) and \(b>a>1\), is
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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, &a...