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Author: Tinku Tara

Question-210473

Question Number 210473 by Ismoiljon_008 last updated on 10/Aug/24 Answered by mrdiane last updated on 11/Aug/24 $${on}\:{a}\:\begin{cases}{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} −\mathrm{10}{xcos}\left(\theta\right)}\\{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\left({x}+\mathrm{5}\right)^{\mathrm{2}} −\mathrm{2}{x}\left({x}+\mathrm{5}\right){cos}\left(\Pi−\theta\right)}\end{cases} \\ $$$$\Leftrightarrow\begin{cases}{\mathrm{7}^{\mathrm{2}}…

Question-210441

Question Number 210441 by universe last updated on 09/Aug/24 Answered by aleks041103 last updated on 09/Aug/24 $$\left({i}\right)\: \\ $$$${for}\:{odd}\:{n},\:{the}\:{function}\:{sin}^{{n}} \left({nx}\right)\:{is}\:{similar} \\ $$$${to}\:{sin}\left({x}\right)\:{with}\:{the}\:{fact}\:{that}\:{the}\:{primitive}\:{function}\:{oscilates} \\ $$$${between}\:\mathrm{0}\:{and}\:{the}\:{maximal}\:{possible}\:{value} \\…

Question-210396

Question Number 210396 by jirodomo last updated on 08/Aug/24 Commented by jirodomo last updated on 08/Aug/24 $$\mathrm{applying}\:\mathrm{partial}\:\mathrm{fraction}\:\mathrm{decomposition} \\ $$$$\mathrm{straight}\:\mathrm{away}\:\mathrm{seems}\:\mathrm{impossible}\:\mathrm{here}. \\ $$$$\mathrm{is}\:\mathrm{there}\:\mathrm{other}\:\mathrm{way}?\:\mathrm{im}\:\mathrm{stuck}\:\mathrm{for}\:\mathrm{a}\:\mathrm{few} \\ $$$$\mathrm{months}\:\mathrm{now}. \\ $$…