Question Number 197032 by bbbbbbbb last updated on 06/Sep/23 $$\left(\mathrm{logtan3}\right)\left(\mathrm{logtan6}\right)\left(\mathrm{logtan9}\right)\left(…\left(\mathrm{logtan87}\right)=?\right. \\ $$$$\boldsymbol{\mathrm{plz}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{need}} \\ $$ Answered by MM42 last updated on 06/Sep/23 $$\mathrm{0} \\ $$ Terms…
Question Number 197034 by Mingma last updated on 06/Sep/23 Answered by TheHoneyCat last updated on 08/Sep/23 $$\mathrm{let} \\ $$$${f}:\begin{cases}{\mathbb{R}}&{\rightarrow}&{\mathbb{R}_{+} }\\{\alpha}&{ }&{\frac{\mathrm{4}\alpha^{\mathrm{2}} }{\mathrm{1}+\mathrm{4}\alpha^{\mathrm{2}} }}\end{cases} \\ $$$$…
Question Number 197035 by bbbbbbbb last updated on 06/Sep/23 $$\mathrm{tan18}=\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{you}}\:\mathrm{tan72}? \\ $$ Answered by som(math1967) last updated on 06/Sep/23 $${tan}\mathrm{72}={cot}\left(\mathrm{90}−\mathrm{72}\right)={cot}\mathrm{18}=\frac{\mathrm{1}}{{a}} \\ $$ Terms of Service…
Question Number 197029 by cortano12 last updated on 06/Sep/23 $$\:\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{x}^{\mathrm{8}} −\mathrm{sin}\:^{\mathrm{8}} \mathrm{x}}{\mathrm{x}^{\mathrm{10}} }\:=? \\ $$ Answered by MM42 last updated on 06/Sep/23 $${lim}_{{x}\rightarrow\mathrm{0}} \:\frac{\left({x}^{\mathrm{4}}…
Question Number 197024 by mnjuly1970 last updated on 06/Sep/23 $$ \\ $$$$\:\:\:\:\:\:{calculate} \\ $$$$\:\Omega=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {sin}\left({x}\right)\:\sqrt{\:\mathrm{1}\overset{} {+}\:{sin}\left({x}\right){cos}\left({x}\right)}\:{dx}=? \\ $$$$ \\ $$ Answered by Frix last…
Question Number 197027 by sonukgindia last updated on 06/Sep/23 Answered by MM42 last updated on 06/Sep/23 $${c}_{\mathrm{1}} :\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{36}\:\:\:\:\&\:\:{c}_{\mathrm{2}} :\:\left({x}−\mathrm{10}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{36} \\ $$$${c}_{\mathrm{1}}…
Question Number 196959 by cortano12 last updated on 05/Sep/23 $$\:\:\:\:\:\:\underline{ } \\ $$ Answered by horsebrand11 last updated on 05/Sep/23 $$\:\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{sin}\:\mathrm{2x}−\mathrm{2x}}{\mathrm{x}^{\mathrm{3}} }\:\right)+\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{ax}+\mathrm{2x}}{\mathrm{x}^{\mathrm{3}} }\right)=\mathrm{1}−\mathrm{b}…
Question Number 196986 by Erico last updated on 05/Sep/23 $$\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}n}\underset{\:\mathrm{0}} {\int}^{\:\mathrm{1}} \mathrm{e}^{−\mathrm{nt}\left(\mathrm{1}−\mathrm{ln}\left(\mathrm{1}−\mathrm{t}\right)\right)} \mathrm{dt}=\sqrt{\mathrm{2}\pi} \\ $$ Answered by witcher3 last updated on 07/Sep/23…
Question Number 196983 by universe last updated on 05/Sep/23 Commented by Frix last updated on 06/Sep/23 $$\mathrm{I}\:\mathrm{can}'\mathrm{t}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{first}\:\mathrm{2}\:\mathrm{but}\:\mathrm{wolframalpha}\:\mathrm{can} \\ $$$$\left(\mathrm{C}\:\mathrm{is}\:\mathrm{the}\:\mathrm{Catalan}\:\mathrm{constant}\right) \\ $$$$\mathrm{1}.\:{I}_{\mathrm{1}} =\underset{\mathrm{0}} {\overset{\pi} {\int}}\frac{{x}^{\mathrm{3}} }{…}{dx}=\frac{\pi\left(−\mathrm{1440C}+\mathrm{1144}+\mathrm{15}\pi\left(−\mathrm{41}+\mathrm{20}\pi+\mathrm{24ln}\:\mathrm{2}\right)\right)}{\mathrm{3780}}…
Question Number 196976 by sonukgindia last updated on 05/Sep/23 Answered by Frix last updated on 05/Sep/23 $$\mathrm{6} \\ $$ Terms of Service Privacy Policy Contact:…