Question Number 197359 by sniper237 last updated on 14/Sep/23 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{1}−{cosxcos}\mathrm{2}{x}…{cos}\left({nx}\right)}{{x}^{\mathrm{2}} }\:=\:\frac{{n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)}{\mathrm{12}}\: \\ $$ Commented by universe last updated on 16/Sep/23 Answered by witcher3 last…
Question Number 196992 by MATHEMATICSAM last updated on 05/Sep/23 $$\mathrm{If}\:\mathrm{A}\left({a}^{\mathrm{2}} ,\:\mathrm{2}{a}\right),\:\mathrm{B}\left(\frac{\mathrm{1}}{{a}^{\mathrm{2}} },\:\frac{−\:\mathrm{2}}{{a}}\right)\:\mathrm{and}\:\mathrm{S}\left(\mathrm{1},\:\mathrm{0}\right)\: \\ $$$$\mathrm{are}\:\mathrm{three}\:\mathrm{points}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}, \\ $$$$\frac{\mathrm{1}}{\mathrm{SA}}\:+\:\frac{\mathrm{1}}{\mathrm{SB}}\:=\:\mathrm{1}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 196917 by peter frank last updated on 03/Sep/23 Answered by MM42 last updated on 03/Sep/23 $$\:\:\frac{\mid{PA}\mid}{\mid{PB}\mid}\:=\:\mathrm{3}\:\:\checkmark \\ $$ Commented by peter frank last…
Question Number 196674 by Erico last updated on 29/Aug/23 $$\mathrm{prove}\:\mathrm{that}\: \\ $$$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\:\left(−\mathrm{1}\right)^{\mathrm{n}−\mathrm{1}} +\underset{\mathrm{p}=\mathrm{2}} {\overset{\mathrm{n}} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{p}} \mathrm{pln}\left(\frac{\mathrm{p}+\mathrm{1}}{\mathrm{p}−\mathrm{1}}\right)=\mathrm{ln}\left(\pi\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 196460 by peter frank last updated on 25/Aug/23 Commented by mr W last updated on 25/Aug/23 $${question}\:{is}\:{not}\:{clear}.\: \\ $$$${t}_{\mathrm{1}} ,{t}_{\mathrm{2}} ,{t}_{\mathrm{3}} \:{are}\:{three}\:{points}.\:{what}\:{do}\:{you} \\…
Question Number 196395 by Amidip last updated on 24/Aug/23 Commented by mr W last updated on 24/Aug/23 $${what}'{s}\:{your}\:{question}? \\ $$ Terms of Service Privacy Policy…
Question Number 196304 by cortano12 last updated on 22/Aug/23 Answered by a.lgnaoui last updated on 24/Aug/23 $$\:\boldsymbol{\mathrm{S}}=\mathrm{shaded}\:\mathrm{Area} \\ $$$$\boldsymbol{\mathrm{S}}\mathrm{1}=\mathrm{Arc}\left(\mathrm{AMC}\right)\:\:\:\boldsymbol{\mathrm{S}}\mathrm{2}=\mathrm{Arc}\left(\mathrm{OBD}\right) \\ $$$$\:\boldsymbol{\mathrm{S}}=\boldsymbol{\mathrm{S}}\left(\boldsymbol{\mathrm{ABCD}}\right)−\boldsymbol{\mathrm{S}}\mathrm{1}+\boldsymbol{\mathrm{S}}\mathrm{2} \\ $$$$\bullet\boldsymbol{\mathrm{Calcul}}\:\boldsymbol{\mathrm{de}}\:\boldsymbol{\mathrm{S}}\left(\mathrm{ABCD}\right) \\ $$$$\:\:\mathrm{OBsin}\:\mathrm{30}=\mathrm{OAsin}\:\mathrm{45}\Rightarrow\:\:\boldsymbol{\mathrm{OA}}=\mathrm{5}\sqrt{\mathrm{2}}\:…
Question Number 196321 by sniper237 last updated on 22/Aug/23 $$\:\:\:\underset{{n}\rightarrow+\infty} {\mathrm{lim}}\:{sin}\left(\mathrm{2}\pi\sqrt{{n}^{\mathrm{2}} +\mathrm{1}\:}\:\right)\:=\:\mathrm{0} \\ $$$$\:\:\:\:\underset{{n}\rightarrow+\infty} {\mathrm{lim}}\:\:{arg}\left({n}^{\mathrm{2}} +{n}+\mathrm{1}+{i}\right)\:=\:\mathrm{0} \\ $$ Answered by witcher3 last updated on 22/Aug/23…
Question Number 194821 by sniper237 last updated on 16/Jul/23 $${M}\:{a}\:{inside}\:{poin}\:{in}\:\:\Delta{ABC}. \\ $$$${M}\:=\:{bar}\:\left\{\left({A},\:{area}\left({MBC}\right)\right),\:\left({B},\:{area}\left({MAC}\right)\right),\left({C},{area}\left({MAB}\right)\right)\right\} \\ $$ Commented by mr W last updated on 16/Jul/23 $${what}\:{do}\:{mean}\:{with}\:\left({A},\:{area}\left({MBC}\right)\right)? \\ $$$${what}\:{do}\:{mean}\:{with}\:{bar}\:\left\{{X},\:{Y},\:{Z}\right\}?…
Question Number 194301 by a.lgnaoui last updated on 02/Jul/23 $$\boldsymbol{\mathrm{Resolution}}\:\boldsymbol{\mathrm{de}}\:\boldsymbol{\mathrm{l}}\:\boldsymbol{\mathrm{exercice}}\:\boldsymbol{\mathrm{du}}\:\mathrm{28}.\mathrm{6}.\mathrm{23} \\ $$$$\:\:\left({env}\mathrm{o}{ye}\:{par}\:{universe}\:\right) \\ $$$$\boldsymbol{{Q}}\mathrm{194116} \\ $$$$ \\ $$ Answered by a.lgnaoui last updated on 02/Jul/23…