Question Number 218189 by Mingma last updated on 01/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218191 by Mamadi last updated on 01/Apr/25 $${exercises}\:{algebra}. \\ $$$${all}\:\:{algebraically}\:\:{closed}\:\:{fields} \\ $$$${ares}\:{finite}. \\ $$$${prouve}\:\:{it}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218187 by Mingma last updated on 01/Apr/25 Answered by efronzo1 last updated on 01/Apr/25 $$\mathrm{5}.\mathrm{1}\::\:\frac{\mathrm{k}}{\mathrm{5}}\:=\:\frac{\mathrm{2}}{\mathrm{3}}\:\Rightarrow\mathrm{k}=\frac{\mathrm{10}}{\mathrm{3}}\: \\ $$$$\:\mathrm{5}.\mathrm{2}\::\:\mathrm{6}+\mathrm{5k}=\mathrm{0}\:\Rightarrow\mathrm{k}=−\frac{\mathrm{6}}{\mathrm{5}} \\ $$ Terms of Service Privacy…
Question Number 218165 by hardmath last updated on 31/Mar/25 $$\lambda\:>\:\mathrm{0} \\ $$$$\mathrm{x}\:,\:\mathrm{y}\:,\:\mathrm{z}\:\in\:\mathrm{C} \\ $$$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{system}:\:\:\:\begin{cases}{\mathrm{xy}\:=\:\mathrm{z}^{\mathrm{2}} \:+\:\mathrm{2}\lambda\mathrm{z}\:−\:\lambda\mathrm{x}\:−\:\lambda\mathrm{y}}\\{\mathrm{yz}\:=\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{2}\lambda\mathrm{x}\:−\:\lambda\mathrm{y}\:−\:\lambda\mathrm{z}\:\:\:\:\:\:\:\:}\\{\mathrm{zx}\:=\:\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{2}\lambda\mathrm{y}\:−\:\lambda\mathrm{z}\:−\:\lambda\mathrm{x}}\end{cases} \\ $$ Answered by mr W last updated…
Question Number 218163 by hardmath last updated on 31/Mar/25 $$\mathrm{Find}:\:\:\:\int\:\frac{\mathrm{x}}{\:\sqrt{\mathrm{48}\:−\:\mathrm{2x}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx}\:=\:? \\ $$ Answered by efronzo1 last updated on 31/Mar/25 $$\:\mathrm{I}=\:\int\:\frac{\mathrm{x}}{\:\sqrt{\mathrm{49}−\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }}\:\mathrm{dx} \\ $$$$\:\mathrm{x}+\mathrm{1}\:=\:\mathrm{7sin}\:\:\mathrm{u}\: \\…
Question Number 218184 by hardmath last updated on 31/Mar/25 $$−\:\mathrm{2025}\:\::\:\:\mathrm{7} \\ $$$$\mathrm{Residue}\:=\:? \\ $$ Answered by MrGaster last updated on 05/Apr/25 $$−\mathrm{2025}=\mathrm{7}\left(−\mathrm{290}\right)+\mathrm{5} \\ $$ Commented…
Question Number 218185 by hardmath last updated on 31/Mar/25 $$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{sin}\:\left(\mathrm{n}\pi\:\sqrt{\mathrm{n}^{\mathrm{2}} \:+\:\mathrm{2n}\:+\:\mathrm{2}\centerdot\left(\mathrm{k}\:+\:\mathrm{1}\right)}\right)\:=\:? \\ $$$$\mathrm{k}\:\in\:\mathbb{Z}\:-\:\mathrm{fixed} \\ $$ Answered by vnm last updated on 01/Apr/25…
Question Number 218153 by Rojarani last updated on 31/Mar/25 $$\:{x}+{y}\:=\mathrm{12} \\ $$$$\:{minimum}\:{value}\:{of} \\ $$$$\:\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\:+\sqrt{{y}^{\mathrm{2}} +\mathrm{9}}\:=? \\ $$ Answered by mr W last updated on…
Question Number 218183 by hardmath last updated on 31/Mar/25 $$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{33}^{\mathrm{2}} \:\:+\:\:\mathrm{544}^{\mathrm{2}} }\:\:+\:\:\sqrt{\mathrm{333}^{\mathrm{2}} \:\:+\:\:\mathrm{55444}^{\mathrm{2}} }\:\:=\:\:? \\ $$ Answered by Hanuda354 last updated on 01/Apr/25…
Question Number 218138 by hardmath last updated on 30/Mar/25 $$\sqrt[{\mathrm{4}}]{\mathrm{629}\:−\:\mathrm{x}}\:\:+\:\:\sqrt[{\mathrm{4}}]{\mathrm{77}\:\:+\:\:\mathrm{x}}\:\:=\:\:\mathrm{8} \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$ Answered by Ghisom last updated on 30/Mar/25 $$\mathrm{easy}\:\mathrm{to}\:\mathrm{see}: \\ $$$$\mathrm{629}\:\mathrm{is}\:\mathrm{almost}\:\mathrm{5}^{\mathrm{4}} ,\:\mathrm{77}\:\mathrm{is}\:\mathrm{almost}\:\mathrm{3}^{\mathrm{4}}…