Question Number 174500 by Mastermind last updated on 02/Aug/22 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{infinite} \\ $$$$\mathrm{sum}: \\ $$$$\mathrm{1}+\frac{\mathrm{3}}{\pi}+\frac{\mathrm{3}}{\pi^{\mathrm{2}} }+\frac{\mathrm{3}}{\pi^{\mathrm{3}} }+\frac{\mathrm{3}}{\pi^{\mathrm{4}} }+\frac{\mathrm{3}}{\pi^{\mathrm{5}} }+… \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$ Answered…
Question Number 174495 by Mastermind last updated on 02/Aug/22 $$\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{log}\left(\mathrm{3}^{\mathrm{x}} \right)−\mathrm{2log}\left(\mathrm{3}\right)\right)\centerdot\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\:\mathrm{with} \\ $$$$\mathrm{x}\in\mathrm{R}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$ Commented by kaivan.ahmadi…
Question Number 174490 by Mastermind last updated on 02/Aug/22 $$\mathrm{A}\:\mathrm{die}\:\mathrm{is}\:\mathrm{rolled}\:\mathrm{57}\:\mathrm{times},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its}\:\mathrm{outcome} \\ $$$$\mathrm{is}\:\mathrm{100}? \\ $$ Commented by mr W last updated on 28/Aug/22 https://www.arianarab.com/post/probability-of-rolling-a-die-with-a-given-sum-problem…
Question Number 108951 by Dwaipayan Shikari last updated on 20/Aug/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}!}{{n}^{{n}} } \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 43395 by Tawa1 last updated on 10/Sep/18 Commented by MrW3 last updated on 10/Sep/18 $${e}.{g}. \\ $$$${M}={N}=\mathrm{999}.\overset{\_} {\mathrm{9}} \\ $$ Commented by Tawa1…
Question Number 108907 by Rasheed.Sindhi last updated on 20/Aug/20 $$\mathcal{T}{hree}\:\:\mathcal{C}{atagories}\:{of}\:\mathcal{P}{osts}: \\ $$$${Question}\:,\:\mathcal{A}{nswer}\:\&\:\mathcal{C}{omment} \\ $$$$ \\ $$$$\mathbb{U}\mathrm{se}\:{Question}\:\mathrm{for}\:\boldsymbol{\mathrm{only}}\:\mathrm{questions}. \\ $$$$\left(\mathcal{D}{on}'{t}\:{use}\:{it}\:{for}\:{solutions}\:\&\right. \\ $$$$\left.{comments}.\right) \\ $$ Commented by Rasheed.Sindhi…
Question Number 174361 by infinityaction last updated on 30/Jul/22 Commented by a.lgnaoui last updated on 31/Jul/22 $${S}=\frac{\mathrm{5}×\mathrm{3}}{\left(\mathrm{5}−\mathrm{3}\right)\left(\mathrm{5}^{\mathrm{2}} −\mathrm{3}^{\mathrm{2}} \right)}+\frac{\mathrm{5}^{\mathrm{2}} ×\mathrm{3}^{\mathrm{2}} }{\left(\mathrm{5}^{\mathrm{2}} −\mathrm{3}^{\mathrm{2}} \right)\left(\mathrm{5}^{\mathrm{3}} −\mathrm{3}^{\mathrm{3}} \right)}+\frac{\mathrm{5}^{\mathrm{3}}…
Question Number 174367 by Mastermind last updated on 30/Jul/22 $$\mathrm{solve} \\ $$$$\mathrm{y}^{\mathrm{10}} \left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)+\frac{\mathrm{y}^{\mathrm{11}} }{\left(\mathrm{x}−\mathrm{1}\right)}=\mathrm{xy}^{\mathrm{12}} \\ $$ Commented by infinityaction last updated on 31/Jul/22 $$\:\:\:\frac{\mathrm{1}}{{y}^{\mathrm{2}} }\left(\frac{{dy}}{{dx}}\right)+\frac{\mathrm{1}}{{y}}\centerdot\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)}\:=\:{x}…
Question Number 43226 by veerendravyas1974@gmail.com last updated on 08/Sep/18 $$ \\ $$$${If}\left({x}−\frac{\mathrm{1}}{{x}}=\mathrm{7}\right){thenthevalueofx}^{\mathrm{4}} +\frac{\mathrm{1}}{{x}^{\mathrm{4}} }{is}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 08/Sep/18 $${x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 43224 by tanmay.chaudhury50@gmail.com last updated on 08/Sep/18 $${how}\:{many}\:{square}\:{in}\:{a}\:{chess}\:{board}. \\ $$ Answered by ajfour last updated on 08/Sep/18 $$\mathrm{64}+\mathrm{49}+\mathrm{36}+\mathrm{25}+\mathrm{16}+\mathrm{9}+\mathrm{4}+\mathrm{1} \\ $$$$\:\:\:\:\:=\:\frac{\mathrm{8}×\mathrm{9}×\mathrm{17}}{\mathrm{6}}\:=\:\mathrm{204}\:. \\ $$ Commented…