Question Number 66096 by sitangshu17 last updated on 09/Aug/19 $$\int\:\:\frac{\sqrt{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}}{\mathrm{x}^{\mathrm{2}} }\:\mathrm{dx}\:=\:? \\ $$ Commented by mathmax by abdo last updated on 09/Aug/19 $${let}\:{I}\:=\int\:\:\:\frac{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}{{x}^{\mathrm{2}}…
Question Number 561 by 123456 last updated on 27/Jan/15 $${a}_{{n}+\mathrm{2}} =\frac{{a}_{{n}+\mathrm{1}} +{a}_{{n}} +{a}_{{n}+\mathrm{1}} {a}_{{n}} }{\mathrm{3}},{a}_{\mathrm{0}} ={e},{a}_{\mathrm{1}} =\pi \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{a}_{{n}} =? \\ $$ Terms of…
Question Number 560 by 123456 last updated on 26/Jan/15 $${u}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${v}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$$\begin{cases}{{u}\left({x}\right){v}\left({x}\right)={x}^{\mathrm{2}} −{v}\left(−{x}\right)}\\{{u}\left(−{x}\right){v}\left({x}\right)={x}^{\mathrm{3}} +{v}\left(−{x}\right)}\end{cases} \\ $$$${h}\left({x}\right)={u}\left({x}\right){v}\left({x}\right)=? \\ $$ Answered by prakash jain last…
Question Number 558 by 112358 last updated on 26/Jan/15 $${Determine}\:{the}\:{complex}\:{number} \\ $$$${z}\:{such}\:{that}\:{z}^{\mathrm{2}} ={tanx}+{icosx}, \\ $$$${in}\:{the}\:{form}\:{z}={p}+{ik},\:{p},{k}\in{R}. \\ $$$$ \\ $$ Answered by prakash jain last updated…
Question Number 131631 by liberty last updated on 07/Feb/21 $$\mathrm{Selecting}\:\mathrm{randomly}\:\mathrm{an}\:\mathrm{integer} \\ $$$$\mathrm{from}\:\mathrm{1}\:\mathrm{to}\:\mathrm{2000}\:,\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{neither}\:\mathrm{6}\:\mathrm{nor}\:\mathrm{8}\:\mathrm{divides}\:\mathrm{the} \\ $$$$\mathrm{integer}. \\ $$ Answered by som(math1967) last updated on 07/Feb/21…
Question Number 131630 by Ahmed1hamouda last updated on 07/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131624 by mr W last updated on 06/Feb/21 Commented by mr W last updated on 06/Feb/21 $${an}\:{old}\:{unsolved}\:{question} \\ $$ Commented by MJS_new last…
Question Number 66089 by Lalita 42@gmeilcon last updated on 09/Aug/19 $$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 552 by 123456 last updated on 25/Jan/15 $${proof}\:{that}\:\mathrm{log}_{\mathrm{2}} \mathrm{3}\:{is}\:{irrational} \\ $$ Answered by prakash jain last updated on 25/Jan/15 $$\mathrm{Let}\:\mathrm{us}\:\mathrm{say}\:\mathrm{log}_{\mathrm{2}} \mathrm{3}\:\mathrm{is}\:\mathrm{rational},\:\mathrm{then} \\ $$$$\mathrm{log}_{\mathrm{2}}…
Question Number 551 by 123456 last updated on 26/Jan/15 $${f}\left({z}\right)={z}\left({y}−{xi}\right) \\ $$$${z}={x}+{yi} \\ $$$$\frac{{df}}{{dz}}=? \\ $$ Answered by prakash jain last updated on 26/Jan/15 $${y}−{xi}=−{i}\left({x}+{iy}\right)=−{iz}…