Friday 20 August 2021

If the maximum and minimum values of \(\sin ^{6} x+\cos ^{6} x,\) as \(x\) takes all real values, are \(a\) and \(b\), respectively, then \(a-b\) equals
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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...