Question Number 126677 by AST last updated on 26/Sep/22 Commented by talminator2856791 last updated on 23/Dec/20 $$\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{question}? \\ $$$$\: \\ $$ Commented by talminator2856791 last…
Question Number 61140 by MJS last updated on 29/May/19 $$\mathrm{can}\:\mathrm{we}\:\mathrm{find}\:\mathrm{an}\:\mathrm{exact}\:\mathrm{solution}? \\ $$$${t}^{\mathrm{6}} +\mathrm{4}{t}^{\mathrm{4}} −\mathrm{12}{t}^{\mathrm{3}} +\mathrm{24}{t}^{\mathrm{2}} −\mathrm{24}{t}+\mathrm{8}=\mathrm{0} \\ $$ Commented by ajfour last updated on 04/Jun/19…
Question Number 192208 by Shlock last updated on 11/May/23 Answered by witcher3 last updated on 11/May/23 $$\Rightarrow\forall\left(\mathrm{7k}+\mathrm{r}\right)\in\mathbb{N}\Rightarrow\exists\left(\mathrm{a},\mathrm{b},\mathrm{c}\right)\in\left[\mathrm{7k}+\mathrm{r},\mathrm{7k}+\mathrm{r}+\mathrm{6}\right] \\ $$$$\mathrm{r}\in\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}\right\} \\ $$$$\mathrm{a}\equiv\mathrm{r}+\mathrm{1}\left[\mathrm{7}\right];\mathrm{a}=\mathrm{7k}+\mathrm{r}+\mathrm{1} \\ $$$$\mathrm{b}\equiv\mathrm{r}+\mathrm{2}\left[\mathrm{7}\right];\mathrm{b}=\mathrm{7k}+\mathrm{r}+\mathrm{2} \\ $$$$\mathrm{c}\equiv\mathrm{r}+\mathrm{4}\left[\mathrm{7}\right];\mathrm{c}=\mathrm{7k}+\mathrm{r}+\mathrm{4}…
Question Number 126672 by shaker last updated on 23/Dec/20 Answered by liberty last updated on 23/Dec/20 $$\:−\mathrm{1}\leqslant\:\mathrm{sin}\:\left(\frac{\mathrm{3}}{{x}}\right)\leqslant\mathrm{1}\:;\:−\left({x}+\mathrm{4}\right)\leqslant\left({x}+\mathrm{4}\right)\mathrm{sin}\:\left(\frac{\mathrm{3}}{{x}}\right)\leqslant{x}+\mathrm{4} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}−\left({x}+\mathrm{4}\right)\leqslant\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left({x}+\mathrm{4}\right)\mathrm{sin}\:\left(\frac{\mathrm{3}}{{x}}\right)\leqslant\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left({x}+\mathrm{4}\right) \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}−\left({x}+\mathrm{4}\right)=−\mathrm{4}…
Question Number 61137 by Tawa1 last updated on 29/May/19 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{3n}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:,\:\mathrm{if}\:\mathrm{the}\:\mathrm{sunm}\:\mathrm{of}\:\mathrm{first}\:\mathrm{n}\:\mathrm{term}\:\mathrm{is} \\ $$$$\mathrm{2n}\:\:\mathrm{and}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{2n}\:\mathrm{term}\:\mathrm{is}\:\:\mathrm{5n} \\ $$ Answered by Kunal12588 last updated on 29/May/19 $${S}_{{n}} =\mathrm{2}{n} \\ $$$$\Rightarrow\frac{{n}}{\mathrm{2}}\left(\mathrm{2}{a}+\left({n}−\mathrm{1}\right){d}\right)=\mathrm{2}{n}…
Question Number 192204 by naka3546 last updated on 11/May/23 Answered by a.lgnaoui last updated on 11/May/23 $$\mathrm{soit}:\:\:\boldsymbol{\mathrm{C}}\left(\boldsymbol{\mathrm{O}},\boldsymbol{\mathrm{R}}\right)\:\:\:\boldsymbol{\mathrm{C}}\mathrm{entre}\boldsymbol{\mathrm{O}}\left(\boldsymbol{\mathrm{a}},\mathrm{b}\right) \\ $$$$\boldsymbol{\mathrm{equatin}}\:\boldsymbol{\mathrm{cercle}}\:\left(\boldsymbol{\mathrm{origine}}\:\boldsymbol{\mathrm{O}}\right) \\ $$$$\:\:\:\:\left(\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{a}}\right)^{\mathrm{2}} +\left(\boldsymbol{\mathrm{y}}−\boldsymbol{\mathrm{b}}\right)^{\mathrm{2}} =\boldsymbol{\mathrm{R}}^{\mathrm{2}} \:\:\:\:\:\:\:\:\left(\boldsymbol{\mathrm{E}}\right) \\…
Question Number 126669 by Dwaipayan Shikari last updated on 23/Dec/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{H}_{{n}} ^{\mathrm{2}} }{{n}^{\mathrm{4}} } \\ $$ Commented by talminator2856791 last updated on 23/Dec/20…
Question Number 126666 by bramlexs22 last updated on 23/Dec/20 $$\:\mathrm{3}+\mathrm{33}+\mathrm{333}+\mathrm{3333}+…+\underset{\mathrm{2020}\:{times}} {\underbrace{\mathrm{3333}…\mathrm{3}}}\: \\ $$$${divide}\:{by}\:\mathrm{2}.\:{find}\:{the}\:{remainder} \\ $$ Answered by JDamian last updated on 23/Dec/20 $${it}\:{is}\:{easy} \\ $$$$\mathrm{0}…
Question Number 192203 by naka3546 last updated on 11/May/23 Answered by HeferH last updated on 11/May/23 $$\left(\mathrm{3h}−\mathrm{2x}\right)\mathrm{2h}\:=\:\mathrm{3hx} \\ $$$$\:\mathrm{6h}^{\mathrm{2}} −\mathrm{4hx}\:=\:\mathrm{3hx} \\ $$$$\:\mathrm{6h}^{\mathrm{2}} =\:\mathrm{7hx} \\ $$$$\:\mathrm{6h}\:=\:\mathrm{7x}…
Question Number 192202 by universe last updated on 11/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com