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Author: Tinku Tara

Question-128457

Question Number 128457 by SLVR last updated on 07/Jan/21 Commented by BHOOPENDRA last updated on 07/Jan/21 $${x}^{\mathrm{5}} =\frac{\mathrm{133}{x}−\mathrm{78}}{\mathrm{133}−\mathrm{78}{x}} \\ $$$$\mathrm{78}{x}^{\mathrm{6}} −\mathrm{133}{x}^{\mathrm{5}} +\mathrm{133}−\mathrm{78}=\mathrm{0} \\ $$$$\left({x}^{\mathrm{2}} −\mathrm{1}\right)\left(\mathrm{78}{x}^{\mathrm{4}}…

kelvin-and-price-were-contesting-for-an-election-in-the-year-2016-kelvin-lost-the-election-and-prince-won-the-election-thursday-of-the-second-week-of-December-After-how-many-days-will-prince-win-th

Question Number 62919 by otchereabdullai@gmail.com last updated on 26/Jun/19 $$\mathrm{kelvin}\:\mathrm{and}\:\mathrm{price}\:\mathrm{were}\:\mathrm{contesting}\:\mathrm{for}\:\mathrm{an} \\ $$$$\mathrm{election}\:\mathrm{in}\:\mathrm{the}\:\mathrm{year}\:\mathrm{2016},\:\mathrm{kelvin}\:\mathrm{lost}\:\mathrm{the} \\ $$$$\mathrm{election}\:\mathrm{and}\:\:\mathrm{prince}\:\mathrm{won}\:\mathrm{the}\:\mathrm{election}\:\mathrm{thursday} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{second}\:\mathrm{week}\:\mathrm{of}\:\mathrm{December}.\:\mathrm{After} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{days}\:\mathrm{will}\:\mathrm{prince}\:\mathrm{win}\:\mathrm{the}\:\mathrm{election} \\ $$$$\mathrm{again}\:\mathrm{on}\:\mathrm{thursday}\:\mathrm{if}\:\mathrm{the}\:\mathrm{eletion}\:\mathrm{is}\:\mathrm{postponed}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{first}\:\mathrm{week}\:\mathrm{of}\:\mathrm{january}.\:\mathrm{suppose}\:\left(\mathrm{kelvin}\:\mathrm{continious}\right. \\ $$$$\mathrm{to}\:\mathrm{loose}\:\mathrm{the}\:\mathrm{eletion}\:\mathrm{again}\:\mathrm{in}\:\mathrm{the}\:\mathrm{next}\:\mathrm{four} \\…

Question-62914

Question Number 62914 by Tawa1 last updated on 26/Jun/19 Answered by MJS last updated on 27/Jun/19 $$\mathrm{this}\:\mathrm{is}\:\mathrm{very}\:\mathrm{easy} \\ $$$${R}=\mathrm{15} \\ $$$${r}=\frac{\mathrm{15}}{\mathrm{3}}=\mathrm{5} \\ $$$$\mathrm{blue}={R}^{\mathrm{2}} \pi−\mathrm{7}{r}^{\mathrm{2}} \pi=\mathrm{50}\pi…

arctan-x-x-dx-

Question Number 62908 by aliesam last updated on 26/Jun/19 $$\int\frac{{arctan}\left({x}\right)}{{x}}{dx} \\ $$ Commented by mathmax by abdo last updated on 26/Jun/19 $$\left.\:\left.{for}\:{all}\:{x}\:{from}\:{R}\:\:\:\:{u}\rightarrow\frac{{arctanu}}{{u}}{is}\:{integrable}\:{on}\:\right]\mathrm{0},{x}\right]{let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{{x}} \:\frac{{arctan}\left({tu}\right)}{{u}}{du} \\…