Question Number 196343 by universe last updated on 23/Aug/23 $$\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:=\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{2x}\:+\mathrm{5}}\:\:+\:\:\sqrt{\mathrm{4x}^{\mathrm{2}} \:−\mathrm{4x}\:+\mathrm{10}\:} \\ $$ Answered by MM42 last updated on 23/Aug/23 $$\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{4}}+\sqrt{\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{2}}…
Question Number 196368 by bavamian last updated on 23/Aug/23 $${pour}\:{tout}\:{n}\:{de}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 196364 by mathlove last updated on 23/Aug/23 $${xp}\left({x}\right)={x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +{x}−{a} \\ $$$${p}\left(−\mathrm{1}\right)=? \\ $$ Answered by MM42 last updated on 23/Aug/23 $${x}=\mathrm{0}\Rightarrow{a}=\mathrm{0} \\…
Question Number 196360 by mathlove last updated on 23/Aug/23 Commented by mathlove last updated on 23/Aug/23 $${x}_{\mathrm{1}} +{n}=? \\ $$ Answered by AST last updated…
Question Number 196358 by mathlove last updated on 23/Aug/23 Commented by mathlove last updated on 23/Aug/23 $${m}=? \\ $$ Commented by mahdipoor last updated on…
Question Number 196355 by MATHEMATICSAM last updated on 23/Aug/23 $$\mathrm{log}_{\mathrm{5}} \sqrt{\mathrm{5}\sqrt{\mathrm{5}\sqrt{\mathrm{5}\sqrt{\mathrm{5}…..}}}\:}=\:? \\ $$ Commented by bbbbbbbb last updated on 23/Aug/23 $$\mathrm{log}_{\mathrm{5}} \sqrt{\mathrm{5}\sqrt{\mathrm{5}\sqrt{\mathrm{5}\sqrt{\mathrm{5}…..}}}\:}=\:? \\ $$$$\sqrt{\mathrm{x}\sqrt{\mathrm{x}\sqrt{\mathrm{x}\sqrt{\mathrm{x}…..}}}}=\mathrm{x} \\…
Question Number 196300 by hardmath last updated on 22/Aug/23 $$\mathrm{If}\:\rightarrow\:\mathrm{n}\:\in\:\mathbb{N}\:\:\:\:\:\mathrm{and}\:\:\:\:\:\mathrm{n}\:\geqslant\:\mathrm{2} \\ $$$$\mathrm{Then}\:\rightarrow\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{n}\:−\:\mathrm{1}}\:\underset{\boldsymbol{\mathrm{k}}=\mathrm{2}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{arctan}\:\frac{\mathrm{1}}{\mathrm{k}}\right)\:<\:\frac{\mathrm{2}}{\mathrm{5}}\:+\:\frac{\boldsymbol{\gamma}}{\mathrm{n}\:−\:\mathrm{1}} \\ $$ Answered by sniper237 last updated on 22/Aug/23 $${n}=\mathrm{2}\Rightarrow\mathrm{0},\mathrm{5}={tan}\left({arctan}\left(\mathrm{1}/\mathrm{2}\right)\right)\overset{?} {<}\mathrm{2}/\mathrm{5}\:=\mathrm{0},\mathrm{4}\:…
Question Number 196299 by hardmath last updated on 22/Aug/23 $$\mathrm{If}\:\rightarrow\:\mathrm{y}\:=\:\mathrm{x}\:!\:\:\:\:\:\mathrm{find}\:\rightarrow\:\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$ Answered by Frix last updated on 22/Aug/23 $${y}={x}!\:\mathrm{is}\:\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{N}\:\Rightarrow\:\mathrm{no}\:\mathrm{derivative} \\ $$$$\mathrm{exists}. \\ $$$$\mathrm{If}\:\mathrm{you}\:\mathrm{mean}\:{x}!=\Gamma\:\left({x}+\mathrm{1}\right): \\…
Question Number 196325 by sniper237 last updated on 22/Aug/23 $$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{arg}\left({n}^{\mathrm{2}} +{n}+\mathrm{1}+{i}\right)=\:\pi/\mathrm{2}\: \\ $$ Answered by witcher3 last updated on 22/Aug/23 $$=\underset{\mathrm{n}\geqslant\mathrm{0}} {\sum}\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{1}+\mathrm{n}+\mathrm{n}^{\mathrm{2}}…
Question Number 196288 by mathlove last updated on 22/Aug/23 $$\mathrm{4}^{{x}} =\sqrt{\mathrm{5}^{{y}} }=\mathrm{400} \\ $$$$\frac{{xy}}{\mathrm{2}{x}+{y}}=? \\ $$ Commented by hardmath last updated on 22/Aug/23 $$\rightarrow\:\mathrm{x}\:=\:\mathrm{log}_{\mathrm{2}} \left(\mathrm{20}\right)…