Question Number 66981 by Mr Jor last updated on 21/Aug/19 Commented by Mr Jor last updated on 21/Aug/19 $${In}\:{the}\:{figure}\:{above},{ABCD}\:{is}\:{a} \\ $$$${parallelogram}.{AOC}\:{and}\:{BOD}\: \\ $$$${are}\:{diagonals}\:{of}\:{the}\:{parallologram}. \\ $$$${Show}\:{that}\:{the}\:{diagonals}\:{of}\:{the}\:…
Evaluate-the-following-integral-0-n-x-1-x-dx-n-N-Here-x-is-the-integer-part-of-x-e-g-0-12-0-5-896-5-
Question Number 1444 by 112358 last updated on 04/Aug/15 $${Evaluate}\:{the}\:{following}\:{integral}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:{n}} \lfloor{x}\rfloor^{\mathrm{1}/\lfloor{x}\rfloor!} {dx}\:\:\:\:\:\:\:\left({n}\in\mathbb{N}\right) \\ $$$${Here}\:\lfloor{x}\rfloor\:{is}\:{the}\:{integer}−{part}\:{of}\:{x} \\ $$$${e}.{g}\:\lfloor\mathrm{0}.\mathrm{12}\rfloor=\mathrm{0},\:\lfloor\mathrm{5}.\mathrm{896}\rfloor=\mathrm{5} \\ $$$$ \\ $$ Answered by…
Question Number 66979 by Mr Jor last updated on 21/Aug/19 Commented by Mr Jor last updated on 21/Aug/19 $${In}\:{the}\:{figure}\:{above},\:{OC}=\mathrm{3}{CA}\:{and} \\ $$$${OD}=\mathrm{3}{DB}.{By}\:{taking}\:\boldsymbol{{OA}}=\boldsymbol{{a}},\boldsymbol{{OB}} \\ $$$$=\boldsymbol{{b}},{show}\:{that}\:{CB}//{AB}. \\ $$…
Question Number 132515 by mohammad17 last updated on 14/Feb/21 Commented by mohammad17 last updated on 14/Feb/21 $${help}\:{me}\:{sir} \\ $$ Answered by EDWIN88 last updated on…
Question Number 132514 by mohammad17 last updated on 14/Feb/21 Answered by guyyy last updated on 15/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1439 by Rasheed Ahmad last updated on 04/Aug/15 $${Are}\:{there}\:{two}\:{complex}\:{numbers} \\ $$$${which}\:{are}\:{cube}\:{of}\:{one}\:{another}? \\ $$$${If}\:{yes}\:{what}\:{are}\:{they}? \\ $$ Answered by 123456 last updated on 04/Aug/15 $$\begin{cases}{{x}={y}^{\mathrm{3}}…
Question Number 1437 by 112358 last updated on 03/Aug/15 $${Let}\:{f}\left({x}\right)\:{be}\:{a}\:{real}\:{valuedfunction} \\ $$$$\forall{x}\in\mathbb{R}.\:{Determine}\:{the}\:{following} \\ $$$${sums}\:: \\ $$$$\left(\mathrm{1}\right)\:{S}_{\mathrm{1}} \left({n}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{tan}^{−\mathrm{1}} \left({rf}\left({x}\right)\right) \\ $$$$\left(\mathrm{2}\right)\:{S}_{\mathrm{2}} \left({n}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}{sin}^{−\mathrm{1}}…
Question Number 66971 by Cmr 237 last updated on 21/Aug/19 $$\int\frac{\mathrm{dx}}{\mathrm{x}\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\:}}=? \\ $$$$\boldsymbol{\mathrm{p}\mathfrak{l}}\mathrm{ease}\:\mathrm{help} \\ $$ Commented by MJS last updated on 21/Aug/19 $$\int\frac{{dx}}{{x}\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}=…
Question Number 66968 by aliesam last updated on 21/Aug/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 66969 by mr W last updated on 21/Aug/19 Commented by mr W last updated on 21/Aug/19 $${Question}\:{from}\:{B}.{E}.{H}.{I}.\:{sir}\:{reposted}. \\ $$ Answered by mr W…