Question Number 223538 by fantastic last updated on 28/Jul/25 $${x}+{y}=\mathrm{36} \\ $$$${xy}_{{max}} =?? \\ $$ Answered by Frix last updated on 28/Jul/25 $$\mathrm{Max}\:\mathrm{at}\:{x}={y}=\mathrm{18}\:\mathrm{because}\:\mathrm{out}\:\mathrm{of}\:\mathrm{all}\:\mathrm{rectangles} \\ $$$$\mathrm{with}\:\mathrm{given}\:\mathrm{circumference}\:\mathrm{the}\:\mathrm{square}\:\mathrm{has}\:\mathrm{the}…
Question Number 223529 by Ismoiljon_008 last updated on 27/Jul/25 Answered by mr W last updated on 27/Jul/25 Commented by mr W last updated on 27/Jul/25…
Question Number 223401 by wewji12 last updated on 24/Jul/25 Commented by MathematicalUser2357 last updated on 24/Jul/25 대학전쟁에서 나온 문제라면 개추 Answered by wewji12 last updated on 24/Jul/25 $$\underset{{n}\rightarrow\infty}…
Question Number 223412 by nECxx2 last updated on 24/Jul/25 $${Good}\:{day}\:{great}\:{problem}\:{solvers}. \\ $$$${Please}\:{I}\:{need}\:{links}\:{to}\:{resources}\:{helpful} \\ $$$${for}\:{preparations}\:{for}\:{Olympiad}\:{mathematics} \\ $$$${especially}\:{books}\:{and}\:{video}\:{recommendations}. \\ $$$${I}'{ll}\:{be}\:{grateful}\:{to}\:{get}\:{our}\:{responses}. \\ $$ Commented by fantastic last updated…
Question Number 223410 by STUDENT12345 last updated on 24/Jul/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 223224 by wewji12 last updated on 18/Jul/25 $$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{k}}=\infty \\ $$$$\underset{\mathrm{p}\:\mathrm{prime}} {\sum}\:\frac{\mathrm{1}}{{p}}=\infty \\ $$$$\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}….\right)−\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}+…\right)=?? \\ $$ Commented by Ghisom last updated on…
Question Number 223210 by fantastic last updated on 17/Jul/25 $${I}\:{have}\:{a}\:{theory}.\:{this}\:{may}\:{not}\:{be}\:{true}\:{and} \\ $$$${I}\:{cannot}\:{prove}\:{it}\:.\:{I}\:{think} \\ $$$${If}\:{you}\:{want}\:{to}\:{draw} \\ $$$$\:{a}\:{closed}\:{shape}\:{in}\:{x}^{{th}} \:{dimention} \\ $$$${the}\:{minimum}\:{number}\:{of} \\ $$$$\:{vertex}\:{you}\:{will}\:{need}\:{is}\:{x}+\mathrm{1} \\ $$$$ \\ $$$$\:{like}\:{if}\:{you}\:{want}\:{to}\:{draw}\:{a}\:{closed}\:{shape}…
Question Number 223169 by wewji12 last updated on 16/Jul/25 $$\mathrm{evaluate}\: \\ $$$$\underset{{h}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{{h}−\mathrm{1}} }{{p}_{{h}} }\:\:,\:{p}_{{h}} \in\mathbb{P}\left(\mathrm{Set}\:\mathrm{of}\:\mathrm{primes}\right)\:,\:{h}\in\mathbb{Z} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 223085 by wewji12 last updated on 14/Jul/25 Answered by wewji12 last updated on 14/Jul/25 $$\mathrm{if}\:\mathrm{sequence}\:{A}_{{n}} \:\mathrm{is}\:\mathrm{monotonic}\:\mathrm{decrease}.\: \\ $$$$\bullet\:\:{A}_{{n}} \:\mathrm{satisfie}\:{A}_{\mathrm{0}} \geq{A}_{\mathrm{1}} \geq….\geq{A}_{{n}} \\ $$$$\bullet\:\:\underset{{n}\rightarrow\infty}…
Question Number 223032 by MrGaster last updated on 13/Jul/25 $$ \\ $$$$\:\:\:\:\underset{{t}=\mathrm{0}} {\overset{\mathrm{2}^{\mathrm{2024}} } {\prod}}\left(\mathrm{4sin}^{\mathrm{2}} \frac{{t}\pi}{\mathrm{2}^{\mathrm{2025}} }−\mathrm{3}\right) \\ $$ Answered by MrGaster last updated on…