Friday, 20 August 2021

For \(0 \leq x<2 \pi\), the number of solutions of the equation \[\sin ^{2} x+2 \cos ^{2} x+3 \sin x \cos x=0\] 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, ...