Question Number 171339 by Best1 last updated on 13/Jun/22 $${an}\:{integer}\:{n}\:\mathrm{1}\leq{n}\leq\mathrm{144}\:{is}\:{picked} \\ $$$${at}\:{random}\: \\ $$$${what}\:{is}\:{the}\:{probability}\:{that} \\ $$$$\:{n}\:{is}\:{the}\:{square}\:{of}\:{an} \\ $$$${inteer}? \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 105799 by mohammad17 last updated on 31/Jul/20 Answered by Dwaipayan Shikari last updated on 31/Jul/20 $$\frac{{dy}}{{dx}}={x}.\frac{\mathrm{1}}{{y}}\:\frac{{dy}}{{dx}}+{logy}+\frac{{y}}{{x}}+{logx}\frac{{dy}}{{dx}}+{nx}^{{n}−\mathrm{1}} +\mathrm{2}^{{x}+{y}} {log}\mathrm{2}\left(\mathrm{1}+\frac{{dy}}{{dx}}\right) \\ $$$$\frac{{dy}}{{dx}}\left(\mathrm{1}−\frac{{x}}{{y}}−{logx}−\mathrm{2}^{{x}+{y}} {log}\mathrm{2}\right)={logy}+\frac{{y}}{{x}}+{nx}^{{n}−\mathrm{1}} +\mathrm{2}^{{x}+{y}} {log}\mathrm{2}…
Question Number 171312 by akolade last updated on 12/Jun/22 Commented by mr W last updated on 12/Jun/22 $${question}\:{is}\:{wrong}! \\ $$$${the}\:{three}\:{equations}\:{for}\:{two}\:{variables} \\ $$$${are}\:{inconsistent}. \\ $$ Commented…
Question Number 171307 by Raxreedoroid last updated on 12/Jun/22 $$\mathrm{Simplify} \\ $$$$\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\sum}}\mathrm{3}^{{k}} \mathrm{2}^{{n}−{k}} \\ $$ Commented by mr W last updated on 12/Jun/22…
Question Number 105748 by ZiYangLee last updated on 31/Jul/20 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{100}} \left(\mathrm{6x}+\mathrm{1}\right)^{\mathrm{100}} }{\left(\mathrm{3x}+\mathrm{5}\right)^{\mathrm{200}} }=? \\ $$ Answered by john santu last updated on 31/Jul/20 $$=\:\frac{\mathrm{6}^{\mathrm{100}}…
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Question Number 105742 by ZiYangLee last updated on 31/Jul/20 $$\mathrm{Let}\:\mathrm{a}\:\mathrm{differentiable}\:\mathrm{function}\:\mathrm{f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$$\mathrm{satisfies}\:\mid\mathrm{f}'\left(\mathrm{x}\right)\mid\leqslant\mathrm{1}\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}\in\left[\mathrm{0},\mathrm{2}\right]\:\mathrm{and} \\ $$$$\mathrm{f}\left(\mathrm{0}\right)=\mathrm{f}\left(\mathrm{2}\right)=\mathrm{1} \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{1}\leqslant\int_{\mathrm{0}} ^{\mathrm{2}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}\leqslant\mathrm{3}\: \\ $$ Terms of Service Privacy Policy…
Question Number 105725 by Tinku Tara last updated on 31/Jul/20 $$\mathrm{App}\:\mathrm{updates}: \\ $$$$\bullet\:\mathrm{Image}\:\mathrm{are}\:\mathrm{saved}\:\mathrm{as}\:\mathrm{a}\:\mathrm{background} \\ $$$$\:\:\:\mathrm{task}\:\mathrm{so}\:\mathrm{that}\:\mathrm{you}\:\mathrm{dont}\:\mathrm{get}\:\mathrm{app}\:\mathrm{not} \\ $$$$\:\:\:\mathrm{responding}\:\mathrm{when}\:\mathrm{saving}\:\mathrm{images}. \\ $$$$\bullet\:\mathrm{Bug}\:\mathrm{Fix}:\:\mathrm{Background}\:\mathrm{color}\:\mathrm{was}\: \\ $$$$\:\:\:\:\mathrm{ignored}\:\mathrm{while}\:\mathrm{sharing} \\ $$$$\bullet\:\mathrm{Support}\:\mathrm{added}\:\mathrm{for}\:\mathrm{Bangla} \\ $$$$\bullet\:\mathrm{Fixes}\:\mathrm{for}\:\mathrm{crashes}\:\mathrm{reported}.…
Question Number 105707 by ZiYangLee last updated on 31/Jul/20 $$\mathrm{Find}\:\mathrm{a}\:\mathrm{polynomial}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{which}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{conditions}: \\ $$$$\left.\mathrm{i}\right)\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{of}\:\mathrm{degree}\:\mathrm{4} \\ $$$$\left.\mathrm{ii}\right)\:\left(\mathrm{x}−\mathrm{1}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{factor}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{f}'\left(\mathrm{x}\right) \\ $$$$\left.\mathrm{iii}\right)\:\mathrm{f}\left(\mathrm{0}\right)=\mathrm{3}\:\mathrm{and}\:\mathrm{f}'\left(\mathrm{0}\right)=−\mathrm{5} \\ $$$$\left.\mathrm{iv}\right)\:\mathrm{when}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\left(\mathrm{x}−\mathrm{2}\right),\:\mathrm{the} \\ $$$$\:\:\:\:\:\:\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{13}. \\ $$ Commented…
Question Number 171235 by thean last updated on 10/Jun/22 Commented by eman_64 last updated on 10/Jun/22 $$ \\ $$ Commented by cortano1 last updated on…