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Question Number 149958 by mathdanisur last updated on 08/Aug/21 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\sqrt[{\boldsymbol{\mathrm{x}}}]{\mathrm{cos}\sqrt{\mathrm{x}}}\:=\:? \\ $$ Commented by dumitrel last updated on 08/Aug/21 $${e}^{−\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Commented by…
Question Number 18884 by Tinkutara last updated on 31/Jul/17 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{positive}\:\mathrm{integer} \\ $$$$\mathrm{x},\:\mathrm{whose}\:\mathrm{last}\:\mathrm{digit}\:\mathrm{is}\:\mathrm{6}\:\mathrm{and}\:\mathrm{if}\:\mathrm{we}\:\mathrm{erase} \\ $$$$\mathrm{this}\:\mathrm{6}\:\mathrm{and}\:\mathrm{put}\:\mathrm{it}\:\mathrm{in}\:\mathrm{left}\:\mathrm{most}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{so}\:\mathrm{obtained},\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{becomes}\:\mathrm{4x}. \\ $$ Answered by mrW1 last updated…
Question Number 149955 by jlewis last updated on 08/Aug/21 $$\mathrm{If}\:\mathrm{a}\:\mathrm{group}\:\mathrm{consist}\:\mathrm{of}\:\mathrm{8}\:\mathrm{men}\:\mathrm{and}\:\mathrm{6}\:\mathrm{women}, \\ $$$$\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{a}\:\mathrm{committee}\:\mathrm{of} \\ $$$$\mathrm{5}\:\mathrm{be}\:\mathrm{selected}\:\mathrm{if}: \\ $$$$\left.\:\:\:\:\:\:\mathrm{i}\right)\:\mathrm{the}\:\mathrm{committee}\:\mathrm{is}\:\mathrm{to}\:\mathrm{consist}\:\mathrm{of}\:\mathrm{3}\:\mathrm{men} \\ $$$$\mathrm{and}\:\mathrm{3}\:\mathrm{women}. \\ $$$$\left.\:\:\:\:\:\:\mathrm{ii}\right)\:\mathrm{there}\:\mathrm{are}\:\mathrm{no}\:\mathrm{restrictions}\:\mathrm{on}\:\mathrm{the}\: \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{men}\:\mathrm{and}\:\mathrm{women}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{committee}. \\…
Question Number 84415 by TawaTawa1 last updated on 12/Mar/20 $$\int\:\sqrt{\mathrm{x}\:−\:\sqrt{\mathrm{4}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\:\mathrm{dx} \\ $$ Answered by john santu last updated on 13/Mar/20 $$\mathrm{let}\:\mathrm{x}\:=\:\mathrm{2sin}\:\mathrm{t} \\ $$$$\int\:\sqrt{\mathrm{2sin}\:\mathrm{t}−\mathrm{2cos}\:\mathrm{t}}\:×\mathrm{2cos}\:\mathrm{t}\:\mathrm{dt} \\…
Question Number 149944 by ArielVyny last updated on 08/Aug/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{t}^{\frac{{n}−\mathrm{1}}{\mathrm{2}}} }{\left(\mathrm{1}+{t}\right)^{{n}+\mathrm{1}} }{dt} \\ $$ Commented by Ar Brandon last updated on 08/Aug/21 $$\beta\left(\mathrm{m},\:\mathrm{n}\right)=\int_{\mathrm{0}}…
Question Number 149946 by DELETED last updated on 08/Aug/21 Answered by DELETED last updated on 08/Aug/21 $$\boldsymbol{\mathrm{Jawaban}}\:\boldsymbol{\mathrm{no}}\:\mathrm{2} \\ $$$$\mathrm{Gunakan}\:\mathrm{Hk}\:\mathrm{Kirchoff}\:\mathrm{I} \\ $$$$\Sigma\mathrm{I}_{\mathrm{masuk}} =\Sigma\mathrm{I}_{\mathrm{keluar}} \\ $$$$\mathrm{I}_{\mathrm{1}} +\mathrm{I}_{\mathrm{2}}…
Question Number 84409 by mr W last updated on 12/Mar/20 Commented by mr W last updated on 12/Mar/20 $${Find}\:{the}\:{radius}\:{r}. \\ $$ Commented by ajfour last…
Question Number 18872 by mondodotto@gmail.com last updated on 31/Jul/17 Answered by ajfour last updated on 31/Jul/17 $$\mathrm{b}=\mathrm{a}+\frac{\mathrm{1}}{\mathrm{b}} \\ $$$$\Rightarrow\mathrm{a}=\mathrm{b}−\frac{\mathrm{1}}{\mathrm{b}}\: \\ $$ Answered by Joel577 last…
Question Number 18871 by A WLAN last updated on 31/Jul/17 Commented by A WLAN last updated on 31/Jul/17 $$\mathrm{Help}\:\mathrm{me}\:\mathrm{1}\:\mathrm{and}\:\mathrm{2} \\ $$ Terms of Service Privacy…