Question Number 66832 by Rio Michael last updated on 20/Aug/19 $${solve}\:{the}\:{system}\:{of}\:{congruence} \\ $$$$\:\:\:\left.\begin{matrix}{{x}\equiv\:\mathrm{1}\:\left({mod}\:\mathrm{5}\right)}\\{{x}\:\equiv\:\mathrm{2}\:\left({mod}\:\mathrm{7}\right)}\\{{x}\equiv\:\:\mathrm{3}\left({mod}\:\mathrm{9}\right)}\\{{x}\:\equiv\:\mathrm{4}\left(\:{mod}\:\mathrm{11}\right)}\end{matrix}\right\} \\ $$ Answered by mr W last updated on 26/Aug/19 $${x}=\mathrm{5}{h}+\mathrm{1}\:\:\:\:…\left(\mathrm{1}\right) \\…
Question Number 66833 by ~ À ® @ 237 ~ last updated on 20/Aug/19 $${Somewhere}\:,\:{there}\:{are}\:{scorpio},\:{snake}\:{and}\:{mouse}. \\ $$$${We}\:{ascertain}\:{that}\:: \\ $$$${Every}\:{morning}\:,\:{each}\:{snake}\:{eats}\:{a}\:{mouse}\:. \\ $$$${Every}\:{afternoon}\:,{each}\:{scorpio}\:\:{kills}\:{a}\:{snake}. \\ $$$${And}\:{every}\:{night}\:,\:{each}\:{mouse}\:{eats}\:{a}\:{scorpio}. \\ $$$${Two}\:{weeks}\:{passed}\:{and}\:{we}\:{find}\:{that}\:{there}\:{was}\:{remaining}\:{only}\:{one}\:{animal}\:.…
Question Number 132365 by mr W last updated on 13/Feb/21 Commented by mr W last updated on 13/Feb/21 $${Q}\:\mathrm{132102}\:{is}\:{solved}.\:{please}\:{review}. \\ $$ Commented by Ar Brandon…
Question Number 66830 by Rio Michael last updated on 20/Aug/19 $${evaluate}. \\ $$$$\:\int_{\mathrm{1}} ^{\:\infty} \:\frac{\mathrm{1}}{{x}^{\mathrm{2}\:} }\:{dx}. \\ $$$$ \\ $$$${can}\:{i}\:{assume}\:\underset{{t}\rightarrow\mathrm{0}} {\:\mathrm{lim}}\:\int_{\mathrm{1}} ^{\:\:{t}} \frac{\mathrm{1}}{{x}^{\mathrm{2}\:} }\:{dx}\:???? \\…
Question Number 1295 by prakash jain last updated on 20/Jul/15 $$\mathrm{Solve}\:\mathrm{for}\:{f}\left({x}\right) \\ $$$${f}\left({x}+\mathrm{1}\right)=\left[{f}\left({x}\right)\right]^{\mathrm{3}} \\ $$ Commented by Rasheed Ahmad last updated on 20/Jul/15 $$\left({Rasheed}\:{Soomro}\right) \\…
Question Number 132367 by Raxreedoroid last updated on 13/Feb/21 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{x}^{{n}} }{\Gamma\left({n}+\mathrm{1}\right)} \\ $$ Answered by TheSupreme last updated on 13/Feb/21 $${if}\:{n}\in\mathbb{N}\:\rightarrow\:\Gamma\left({n}+\mathrm{1}\right)={n}! \\ $$$$\mathrm{lim}\:\frac{\mathrm{x}^{\mathrm{n}} }{\mathrm{n}!}=\mathrm{0}\:\forall{x}\in\mathbb{R}_{\mathrm{0}}…
Question Number 66827 by mr W last updated on 20/Aug/19 Commented by mr W last updated on 20/Aug/19 $${the}\:{graph}\:{above}\:{shows}\:{the}\:{equation} \\ $$$$\frac{\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}=\frac{\mathrm{ln}\:\left({y}+\sqrt{\mathrm{1}+{y}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{y}^{\mathrm{2}} }}…
Question Number 1289 by Rasheed Soomro last updated on 19/Jul/15 $${Prove}\:{that}\: \\ $$$$\:\:''\:{f}\left(\:{f}\left({x}\right)\:\right)\:{is}\:{polynomial}\:''\:\Rightarrow\:''\:{f}\left({x}\right)\:{is}\:{rational}\:{expression}\:'' \\ $$$$\:{Or}\:{give}\:{a}\:{counter}\:{example}\:. \\ $$$$ \\ $$ Answered by prakash jain last updated…
Question Number 132356 by Raxreedoroid last updated on 13/Feb/21 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{x}^{{n}} }{{n}!}+\frac{\mathrm{1}}{\mathrm{2}\left(\mathrm{ln}\:\mathrm{2}\right)^{{n}} }\right)=?\:,{x}\in\mathbb{R} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132358 by Engr_Jidda last updated on 13/Feb/21 $${find}\:{the}\:{equation}\:{whose}\:{roots}\:{are} \\ $$$$\alpha\:{and}\:\beta.\:{find}\:\alpha\:{and}\:\beta\:{if}\:\:\alpha−\beta=\mathrm{2}\:{and}\:\alpha^{\mathrm{2}} −\beta^{\mathrm{2}} =\mathrm{3} \\ $$ Commented by Dwaipayan Shikari last updated on 13/Feb/21 $${x}^{\mathrm{2}}…