Question Number 200833 by Mastermind last updated on 24/Nov/23 $$\mathrm{Advance}\:\mathrm{question} \\ $$$$ \\ $$$$\mathrm{A}\:\mathrm{phone}\:\mathrm{mistakenly}\:\mathrm{got}\:\mathrm{locked}\:\mathrm{with}\:\mathrm{the}\: \\ $$$$\mathrm{pattern}\:\mathrm{of}\:\:\mathrm{3}\:×\:\mathrm{3}\:\mathrm{form},\:\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{attempts} \\ $$$$\mathrm{person}\:\mathrm{can}\:\mathrm{try}\:\mathrm{before}\:\mathrm{he}\:\mathrm{can}\:\mathrm{eventually}\:\mathrm{get} \\ $$$$\mathrm{it}\:\mathrm{right}\:? \\ $$$$ \\ $$$$\mathrm{Thank}\:\mathrm{you} \\…
Question Number 200677 by a.lgnaoui last updated on 21/Nov/23 $$\int\frac{\mathrm{df}}{\mathrm{dx}}×\frac{\mathrm{dg}}{\mathrm{dx}}\:\:\:\:\:? \\ $$ Commented by mr W last updated on 22/Nov/23 $${it}'{s}\:{just}\:{non}−{sense}. \\ $$ Terms of…
Question Number 200520 by malak last updated on 19/Nov/23 $$\:\:{x}/{x}+\mathrm{1}−{x}−\mathrm{1}/{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 199391 by Calculusboy last updated on 03/Nov/23 Answered by AST last updated on 03/Nov/23 $$\left({x}−\mathrm{5}\right)^{\mathrm{2}} +\left({y}−\mathrm{5}\right)^{\mathrm{2}} =\mathrm{10}\Rightarrow\left({x}−\mathrm{5}\right)^{\mathrm{2}} +\left(\mathrm{5}−\mathrm{2}{x}\right)^{\mathrm{2}} =\mathrm{10} \\ $$$$\Rightarrow\mathrm{5}\left({x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{8}\right)=\mathrm{0}\Rightarrow{x}=\mathrm{4}\:{or}\:\mathrm{2}\Rightarrow\left({x},{y}\right)=\left(\mathrm{4},\mathrm{2}\right);\left(\mathrm{2},\mathrm{6}\right) \\…
Question Number 199392 by Calculusboy last updated on 03/Nov/23 Answered by mr W last updated on 03/Nov/23 $$\left({x}−\mathrm{3}\right)^{\mathrm{2}} +\left({y}+\mathrm{4}\right)^{\mathrm{2}} =\mathrm{53} \\ $$$$\left({x}+\mathrm{2}\right)^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{13} \\…
Question Number 199312 by Mastermind last updated on 01/Nov/23 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{continuity}\:\mathrm{ortherwise}\:\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{following}\:\mathrm{functions} \\ $$$$ \\ $$$$\left.\mathrm{a}\right)\:\frac{\mathrm{7x}^{\mathrm{2}} +\mathrm{x}−\mathrm{3}}{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} } \\ $$$$ \\ $$$$\left.\mathrm{b}\right)\:\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{1} \\ $$$$…
Question Number 198941 by Mingma last updated on 26/Oct/23 Commented by witcher3 last updated on 06/Nov/23 $$\varpi\:\mathrm{what}\:\mathrm{is}\:\mathrm{omega}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 198939 by Mingma last updated on 26/Oct/23 Answered by witcher3 last updated on 26/Oct/23 $$\varphi:\mathrm{2}\mathbb{N}\rightarrow\mathbb{Z} \\ $$$$\varphi\left(\mathrm{2n}\right)=\begin{cases}{\mathrm{k}\:\mathrm{if}\:\mathrm{n}=\mathrm{2}\left(\mathrm{2k}+\mathrm{1}\right)}\\{−\mathrm{k}\:\mathrm{if}\:\mathrm{n}=\mathrm{2}.\left(\mathrm{2k}\right)}\end{cases} \\ $$$$\varphi\left(\mathrm{m}\right)=\varphi\left(\mathrm{n}\right)\:\Leftrightarrow\mathrm{m}=\mathrm{n} \\ $$$$\varphi\:\mathrm{injective} \\ $$$$\mathrm{if}\:\:\mathrm{n}\in\mathbb{Z}\:\mathrm{if}\:\mathrm{n}\geqslant\mathrm{0}\:…