Question Number 227471 by hardmath last updated on 02/Feb/26 $$\begin{cases}{\mathrm{log}_{\mathrm{3}} \mathrm{x}=\mathrm{a}}\\{\mathrm{log}_{\mathrm{3}} \mathrm{y}=\mathrm{b}}\end{cases}\:\:\:\:\:\Rightarrow\:\:\:\:\mathrm{log}_{\mathrm{3}} \left(\mathrm{x}^{\mathrm{3}} \centerdot\mathrm{y}^{\mathrm{2}} \right)=? \\ $$ Answered by som(math1967) last updated on 02/Feb/26 $${log}_{\mathrm{3}}…
Question Number 227476 by Spillover last updated on 02/Feb/26 Answered by fantastic2 last updated on 03/Feb/26 $$\mathrm{162} \\ $$ Commented by Spillover last updated on…
Question Number 227477 by Spillover last updated on 02/Feb/26 Answered by Kanda_Dewa last updated on 03/Feb/26 $$\mathrm{3}\:-{bromo}-\mathrm{2}-{methylbutanoic}\:{acid} \\ $$ Commented by Spillover last updated on…
Question Number 227478 by Spillover last updated on 02/Feb/26 Answered by Kanda_Dewa last updated on 03/Feb/26 $$\mathrm{3},\mathrm{4}-{dimethyl}\:{hexane} \\ $$ Commented by Spillover last updated on…
Question Number 227473 by Lara2440 last updated on 02/Feb/26 $$\forall\epsilon>\mathrm{0}\:,\:\exists\delta>\mathrm{0}\:\mathrm{s}.\mathrm{t}\:\:\mid{x}\mid<\delta\:\Rightarrow\:\mid\frac{\mathrm{sin}\left({x}\right)}{{x}}−\mathrm{1}\mid<\epsilon \\ $$$$\delta=?? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 227474 by Spillover last updated on 02/Feb/26 Answered by som(math1967) last updated on 03/Feb/26 Commented by Spillover last updated on 05/Feb/26 $${correct} \\…
Question Number 227465 by Spillover last updated on 01/Feb/26 $${How}\:{many}\:{hydrogen}\:{atoms}\:{are} \\ $$$${there}\:{in}\:\mathrm{2}.\mathrm{57}×\mathrm{10}^{−\mathrm{6}} {g}\:\:{of}\:{hydrogen} \\ $$ Answered by Kassista last updated on 02/Feb/26 $$ \\ $$$${M}\left({H}_{\mathrm{2}}…
Question Number 227466 by Spillover last updated on 01/Feb/26 $${Explain}\:{how}\:{the}\:{following} \\ $$$${conversions}\:{take}\:{place}.{Give} \\ $$$${the}\:{necessary}\:{conditions} \\ $$$$\left({a}\right){methane}\:{to}\:{tetra}\:{chloromethane} \\ $$$$\left({b}\right){Ethanol}\:{to}\:{acetaldehyde} \\ $$$$\left({c}\right){Alchol}\:{to}\:{ethane} \\ $$ Terms of Service…
Question Number 227446 by mr W last updated on 31/Jan/26 Commented by mr W last updated on 31/Jan/26 $${find}\:{the}\:{blue}\:{area}. \\ $$ Commented by Spillover last…
Question Number 227438 by Lara2440 last updated on 29/Jan/26 $$\mathrm{Let}\:{f}\left({x}\right)=\begin{cases}{\frac{\mathrm{1}}{{q}}\:\:\:\:\:{x}=\frac{{p}}{{q}}\:,\:{p},{q}\in\mathbb{Z}\:,\:\mathrm{gcd}\left({p},{q}\right)=\mathrm{1}\:,\:{q}>\mathrm{0}}\\{\mathrm{0}\:\:\:\:{x}\in\mathbb{R}\backslash\mathbb{Q}}\end{cases} \\ $$$$\: \\ $$$$\mathrm{1}.\:\mathrm{Show}\:\mathrm{that}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{continuous}\:\mathrm{function}\:\mathrm{when}\:{x}\in\mathbb{R}\backslash\mathbb{Q} \\ $$$$\mathrm{2}.\:\mathrm{Show}\:\mathrm{that}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{continuous}\:\mathrm{function}\:\mathrm{when}\:{x}\in\mathbb{Q} \\ $$$$\mathrm{3}.\:\mathrm{Prove}\:\mathrm{function}\:\mathrm{g}\left({x}\right)\:\mathrm{does}\:\mathrm{not}\:\mathrm{exist} \\ $$$$\mathrm{when}\:\mathrm{g}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{function}\:\mathrm{that}\:\mathrm{is}\:\mathrm{continuous}\:\mathrm{only}\:\mathrm{in}\:{x}\in\mathbb{Q} \\ $$$$\mathrm{4}.\:\int_{\:\mathbb{R}} \:{f}\left({x}\right)\mathrm{d}{x} \\ $$…