Question Number 195279 by edwinpollito last updated on 28/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 195278 by Erico last updated on 28/Jul/23 $$\mathrm{calculer}\:\underset{\mathrm{x}\rightarrow\pi} {\mathrm{lim}}\frac{\left(\mathrm{n}+\mathrm{1}\right)\mathrm{sin}\left(\left(\mathrm{n}−\mathrm{1}\right)\mathrm{x}\right)−\left(\mathrm{n}−\mathrm{1}\right)\mathrm{sin}\left(\left(\mathrm{n}+\mathrm{1}\right)\mathrm{x}\right)}{\mathrm{sinx}\:\mathrm{sin}\left(\mathrm{nx}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 195273 by Shlock last updated on 28/Jul/23 Commented by necx122 last updated on 30/Jul/23 $${are}\:{the}\:{three}\:{red}\:{lines}\:{equal}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 195232 by CrispyXYZ last updated on 28/Jul/23 $${a},\:{b},\:{c}>\mathrm{0},\:\:{a}+{b}+{c}\geqslant\mathrm{1}.\:\mathrm{Find} \\ $$$$\mathrm{max}\:\underset{\mathrm{cyc}} {\sum}\:\frac{{a}−{bc}}{{a}+{bc}}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 195224 by Rodier97 last updated on 28/Jul/23 $$\:\:\:\:\:\:\:\int_{\mathrm{1}} ^{\mathrm{e}} \mathrm{0}\:{dx}\:=\:?? \\ $$ Answered by Frix last updated on 27/Jul/23 $$=\mathrm{0}\underset{\mathrm{1}} {\overset{\mathrm{e}} {\int}}{dx}=\mathrm{0} \\…
Question Number 195208 by Mastermind last updated on 27/Jul/23 Answered by BaliramKumar last updated on 27/Jul/23 $$\mathrm{3}\left[\frac{\mathrm{3}\left(\mathrm{3}+\mathrm{1}\right)}{\mathrm{2}}\right]\:=\:\mathrm{18} \\ $$ Commented by BaliramKumar last updated on…
Question Number 195223 by Rodier97 last updated on 27/Jul/23 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{In}=\int_{\mathrm{1}} ^{\mathrm{e}} \frac{\left({lnx}\right)^{{n}} }{{x}^{\mathrm{2}} }\:{dx} \\ $$$$\:\:\:\:\:\mathrm{using}\:\mathrm{an}\:\mathrm{enclosing}\:{lnx}\:\mathrm{on}\:\mathrm{interval}\:\left[\mathrm{1};\mathrm{e}\right]\:\mathrm{show}\:\mathrm{that}\:\forall{n}\:\in\:\mathbb{N}^{\ast} ,\:\mathrm{0}\:\leq\mathrm{In}\leq\:\mathrm{1} \\ $$$$ \\ $$$$ \\ $$$$…
Question Number 195206 by otchereabdullai@gmail.com last updated on 27/Jul/23 Answered by MM42 last updated on 27/Jul/23 $${p}\left({a}\right)={p}\left({b}\right)={p}\left({c}\right)=\frac{\mathrm{3}}{\mathrm{4}}\:;\:{probability}\:{of}\:{winning}\:{each}\:{race} \\ $$$$\left({i}\right)\:{p}\left({a}'\cap{b}\cap{c}'\right)=\frac{\mathrm{1}}{\mathrm{4}}×\frac{\mathrm{3}}{\mathrm{4}}×\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{64}} \\ $$$$\left({ii}\right)\:{p}\left({a}\cap{b}\cap{c}\right)=\frac{\mathrm{27}}{\mathrm{64}} \\ $$$$\left({iii}\right)\:{p}\left(\Sigma{abc}'\right)=\mathrm{3}×\frac{\mathrm{1}}{\mathrm{4}}×\frac{\mathrm{9}}{\mathrm{16}}=\frac{\mathrm{27}}{\mathrm{64}} \\ $$…
Question Number 195203 by Erico last updated on 27/Jul/23 $$\mathrm{Calculer}\:\underset{\:\mathrm{0}} {\int}^{\:+\infty} \frac{\mathrm{dt}}{\left(\mathrm{e}^{\mathrm{t}} −\mathrm{e}^{−\mathrm{t}} \right)^{\mathrm{2}} +\mathrm{a}^{\mathrm{2}} } \\ $$ Answered by Frix last updated on 27/Jul/23…
Question Number 195202 by sonukgindia last updated on 27/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com