Question Number 218428 by hardmath last updated on 09/Apr/25 Answered by A5T last updated on 09/Apr/25 $$\mathrm{Let}\:\mathrm{F}\:\in\:\mathrm{BC}\:\mathrm{such}\:\mathrm{that}\:\mathrm{AF}\bot\mathrm{BC} \\ $$$$\mathrm{AB}=\mathrm{AE}\Rightarrow\mathrm{BF}=\mathrm{FE}=\frac{\mathrm{7}+\mathrm{3}}{\mathrm{2}}=\mathrm{5} \\ $$$$\mathrm{BF}×\mathrm{BC}=\mathrm{BA}^{\mathrm{2}} \Rightarrow\mathrm{5}\left(\mathrm{10}+\mathrm{x}\right)=\mathrm{BA}^{\mathrm{2}} …\left(\mathrm{i}\right) \\ $$$$\mathrm{AB}^{\mathrm{2}}…
Question Number 218396 by Nicholas666 last updated on 09/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218397 by Nicholas666 last updated on 09/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218398 by Nicholas666 last updated on 09/Apr/25 Answered by MrGaster last updated on 10/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218399 by Nicholas666 last updated on 09/Apr/25 Answered by MrGaster last updated on 10/Apr/25 $$\begin{array}{|c|}{{f}\left({n}\right)=\frac{{n}^{\mathrm{2}} }{\mathrm{2}}}\\\hline\end{array}\mathrm{when}\:{n}\:\mathrm{is}\:\mathrm{even} \\ $$$$\cancel{{f}\left({n}\right)=\frac{{n}^{\mathrm{2}} }{\mathrm{2}}} \\ $$$${f}\left({n}\right)=\frac{{n}^{\mathrm{2}} −\tau\left({n}\right)}{\mathrm{2}} \\…
Question Number 218393 by Nicholas666 last updated on 09/Apr/25 $$ \\ $$$$\:{let}\:{ABC}\:{be}\:{a}\:{triangle}\:{with}\:{incenter}\:{I}. \\ $$$$\:{prove}\:{that}\:{Ia}\:.\:{Ib}\:.\:{Ic}\:\:\leqslant\:\frac{{abc}}{\mathrm{8}}\:\: \\ $$$$ \\ $$ Answered by mr W last updated on…
Question Number 218427 by mathocean1 last updated on 09/Apr/25 $$ \\ $$$${give}\:{a}\:{recurrence}\:{relation}\:{for}\:{I}_{{n}} . \\ $$$${I}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{{n}} }{dx},\:\forall{n}\:\in\:\mathbb{N}. \\ $$ Answered by mehdee7396…
Question Number 218395 by Nicholas666 last updated on 09/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218420 by Majak last updated on 09/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 218421 by SdC355 last updated on 09/Apr/25 $$\mathrm{prove}\: \\ $$$$\int_{\:\partial\boldsymbol{\Sigma}} \:\boldsymbol{\omega}=\int_{\:\boldsymbol{\Sigma}\:} \mathrm{d}\boldsymbol{\omega} \\ $$ Commented by Ghisom last updated on 09/Apr/25 $$\mathrm{is}\:\mathrm{this}\:\mathrm{the}\:\mathrm{newest}\:\mathrm{anti}−\mathrm{syntax}? \\…