Question Number 227194 by fantastic2 last updated on 05/Jan/26 $${umm}….\:{hi} \\ $$ Commented by fantastic2 last updated on 05/Jan/26 $$\frac{\mid{x}\mid−\mathrm{2}}{\mid{x}\mid−\mathrm{3}}\geqslant\mathrm{0} \\ $$$${x}\in? \\ $$ Commented…
Question Number 227174 by Spillover last updated on 04/Jan/26 $${Solve}\:{the}\:{equation} \\ $$$$\left(\boldsymbol{{x}}−\mathrm{2}\right)\frac{\boldsymbol{{dy}}}{\boldsymbol{{dx}}}−\boldsymbol{{y}}=\left(\boldsymbol{{x}}−\mathrm{2}\right)^{\mathrm{3}} \\ $$$$\boldsymbol{{given}}\:\boldsymbol{{y}}=\mathrm{10}\:\:\boldsymbol{{when}}\:\boldsymbol{{x}}=\mathrm{4}. \\ $$$$\mathrm{4}/\mathrm{1}/\mathrm{2026} \\ $$ Answered by AgniMath last updated on 04/Jan/26…
Question Number 227162 by nikif99 last updated on 03/Jan/26 $${How}\:{can}\:{I}\:{recall}\:{an}\:{older}\:{question}? \\ $$$${To}\:{be}\:{precise},\:{number}\:\mathrm{175409}.\:{I}\:{have} \\ $$$${a}\:{solution}. \\ $$ Answered by TonyCWX last updated on 04/Jan/26 $$\mathrm{Q175409} \\…
Question Number 227115 by MrAjder last updated on 01/Jan/26 $$\mathrm{prove}:\underset{{i}=\mathrm{1}} {\overset{{n}} {\prod}}{i}\:\mathrm{sin}\frac{\mathrm{1}}{{i}}>\frac{\mathrm{1}}{{n}\left({n}+\mathrm{1}\right)} \\ $$ Answered by MrAjder last updated on 01/Jan/26 $$\forall{i}\in\mathbb{Z}^{+} ,\mathrm{0}<\frac{\mathrm{1}}{{i}}\leq\mathrm{1}\Rightarrow\mathrm{sin}\frac{\mathrm{1}}{{i}}>\frac{\mathrm{1}}{{i}}−\frac{\mathrm{1}}{\mathrm{6}{i}^{\mathrm{3}} }\Rightarrow{i}\:\mathrm{sin}\frac{\mathrm{1}}{{i}}>\mathrm{1}−\frac{\mathrm{1}}{\mathrm{6}{i}^{\mathrm{2}} }…
Question Number 227124 by BaliramKumar last updated on 01/Jan/26 $$\sqrt[{\mathrm{3}}]{\mathrm{2025}×\mathrm{2026}×\mathrm{2027}\:+\:\mathrm{2026}}\:=\:?\:\:\:\:\:\:\: \\ $$ Answered by TonyCWX last updated on 01/Jan/26 $$\sqrt[{\mathrm{3}}]{\left({x}−\mathrm{1}\right)\left({x}\right)\left({x}+\mathrm{1}\right)+{x}} \\ $$$$=\:\sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} −{x}+{x}} \\ $$$$=\:\sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}}…
Question Number 227121 by ajfour last updated on 01/Jan/26 $$\:\:\:\:\:\:\:\:\:{I}\:{Cracked}\: \\ $$$$\:\:\:{The}\:{Angle}\:{Trisection}\:{problem} \\ $$$$ \\ $$ Commented by ajfour last updated on 01/Jan/26 https://g.co/gemini/share/b49a5367b503 Commented…
Question Number 227085 by Rojarani last updated on 29/Dec/25 Commented by mr W last updated on 30/Dec/25 $${to}\:{wabi}\:{sir}: \\ $$$${please}\:{don}'{t}\:{put}\:{your}\:{new}\:{question} \\ $$$${as}\:{comment}\:{to}\:{an}\:{other}\:{question}! \\ $$$${please}\:{post}\:{it}\:{as}\:{new}\:{question}! \\…
Question Number 227043 by Spillover last updated on 28/Dec/25 Answered by Spillover last updated on 28/Dec/25 Answered by Spillover last updated on 28/Dec/25 Answered by…
Question Number 227034 by AgniMath last updated on 27/Dec/25 $$\mathrm{Velocity}\:\left({v}\right),\:\mathrm{time}\:\left({t}\right)\:\mathrm{and}\:\mathrm{displacement} \\ $$$$\left({x}\right)\:\mathrm{of}\:\mathrm{a}\:\mathrm{particle}\:\mathrm{are}\:\mathrm{in}\:\mathrm{the}\:\mathrm{relation} \\ $$$$\left(\mathrm{1}\:+\:{t}^{\mathrm{3}} \right){v}\:+\:\mathrm{3}{t}^{\mathrm{2}} {x}\:=\:\mathrm{4}{t}.\:\mathrm{If}\:\mathrm{at}\:{t}\:=\:\mathrm{0},\:{x}\:=\:\mathrm{1}\:\mathrm{m} \\ $$$$\mathrm{then}\:\mathrm{find}\:\mathrm{displacement}\:\mathrm{at}\:{t}\:=\:\mathrm{1}\:\mathrm{s}. \\ $$ Commented by fantastic2 last updated…
Question Number 227026 by Mohammedqasim last updated on 26/Dec/25 Answered by Kassista last updated on 26/Dec/25 $$ \\ $$$${Numerator}: \\ $$$$\frac{{d}}{{dx}}\left(\pi{x}+\sqrt[{\mathrm{5}}]{\mathrm{99}}\right)=\pi \\ $$$$ \\ $$$${Denominator}:…