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Question-7013

Question Number 7013 by Master Moon last updated on 06/Aug/16 Commented by Yozzis last updated on 06/Aug/16 $$\left(\mathrm{1}−{x}\right)^{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}\left(−\mathrm{1}\right)^{{k}} {x}^{{k}} =\mathrm{1}+\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}\left(−\mathrm{1}\right)^{{k}}…

0-pi-2-ln-ln-2-sin-pi-2-ln-2-sin-ln-cos-tan-d-

Question Number 138086 by EnterUsername last updated on 10/Apr/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{ln}\left(\frac{\mathrm{ln}^{\mathrm{2}} \left(\mathrm{sin}\theta\right)}{\pi^{\mathrm{2}} +\mathrm{ln}^{\mathrm{2}} \left(\mathrm{sin}\theta\right)}\right)\:\frac{\mathrm{ln}\left(\mathrm{cos}\theta\right)}{\mathrm{tan}\theta}\mathrm{d}\theta \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-7009

Question Number 7009 by Tawakalitu. last updated on 05/Aug/16 Commented by FilupSmith last updated on 06/Aug/16 $$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:\left(−\mathrm{1}\right)^{\infty} \\ $$$$\mathrm{if}\:\mathrm{so}: \\ $$$$−\mathrm{1}={e}^{{i}\pi} \\ $$$$\therefore\mathrm{let}\:{z}=\left(−\mathrm{1}\right)^{{x}} ={e}^{{i}\pi{x}} \\…

Factorize-a-b-5-b-c-5-c-a-5-

Question Number 7008 by Tawakalitu. last updated on 05/Aug/16 $${Factorize}:\:\:\left({a}\:−\:{b}\right)^{\mathrm{5}} \:+\:\left({b}\:−\:{c}\right)^{\mathrm{5}} \:+\:\left({c}−\:{a}\right)^{\mathrm{5}} \\ $$ Commented by Yozzii last updated on 05/Aug/16 $$\left({a}−{b}\right),\:\left({b}−{c}\right)\:{and}\:\left({c}−{a}\right)\:{are}\:{factors} \\ $$$${since}\:{the}\:{expression}\:{above}\:{reduces} \\…

Is-u-n-real-sequence-defende-by-u-0-3e-t-u-n-1-2-u-n-2-1-Determine-the-general-term-u-n-of-this-series-justify-your-answer-and-method-used-

Question Number 7005 by Tawakalitu. last updated on 05/Aug/16 $${Is}\:\:{u}_{{n}} \:{real}\:{sequence}\:{defende}\:\:{by}\:\: \\ $$$${u}_{\mathrm{0}} \:=\:\mathrm{3}{e}^{{t}} \:{u}_{{n}+\mathrm{1}} \:=\:\mathrm{2}\left({u}_{{n}} \right)^{\mathrm{2}} \:−\:\mathrm{1} \\ $$$${Determine}\:{the}\:{general}\:{term}\:{u}_{{n}} \:{of}\:{this}\:{series}\: \\ $$$$\left({justify}\:{your}\:{answer}\:{and}\:{method}\:{used}\right) \\ $$$$…