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Question Number 97428 by bobhans last updated on 08/Jun/20 Commented by Farruxjano last updated on 08/Jun/20 $$\boldsymbol{{I}}\:\boldsymbol{{could}}\:\boldsymbol{{not}}\:\boldsymbol{{know}}\:\boldsymbol{{x}}=\mathrm{1005}\:\boldsymbol{{or}}\:\boldsymbol{{not}}\:\boldsymbol{{in}} \\ $$$$\boldsymbol{{my}}\:\boldsymbol{{solution}}\:\boldsymbol{{if}}\:\boldsymbol{{so}}\:\boldsymbol{{i}}\:\boldsymbol{{think}}\:\boldsymbol{{you}} \\ $$$$\boldsymbol{{can}}\:\boldsymbol{{easily}}\:\boldsymbol{{calculate}}\:\boldsymbol{{removing}}\: \\ $$$$\boldsymbol{{x}}\:\boldsymbol{{with}}\:\mathrm{1005},\:\boldsymbol{{sir}} \\ $$$$…
Question Number 162947 by HongKing last updated on 02/Jan/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
How-many-positive-integers-less-than-500-can-be-formed-using-the-numbers-1-2-3-and-5-for-the-digits-
Question Number 162942 by HongKing last updated on 02/Jan/22 $$\mathrm{How}\:\mathrm{many}\:\mathrm{positive}\:\mathrm{integers}\:\mathrm{less}\:\mathrm{than} \\ $$$$\mathrm{500}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{using}\:\mathrm{the}\:\mathrm{numbers} \\ $$$$\mathrm{1}\:,\:\mathrm{2}\:,\:\mathrm{3}\:\mathrm{and}\:\mathrm{5}\:\mathrm{for}\:\mathrm{the}\:\mathrm{digits}? \\ $$ Answered by som(math1967) last updated on 02/Jan/22 $$\mathrm{3}\:{digitstarting}\:{with}\:\mathrm{1},\mathrm{2},\mathrm{3}\:=\mathrm{4}^{\mathrm{2}} ×\mathrm{3}…
Question Number 162946 by HongKing last updated on 02/Jan/22 Answered by ajfour last updated on 02/Jan/22 $$\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \right)^{\mathrm{2}} ={x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} +\mathrm{2}\left({x}^{\mathrm{2}} {y}^{\mathrm{2}}…
Question Number 31868 by 6123 last updated on 16/Mar/18 $${Let}\:{a}>{b}>\mathrm{1}\:{be}\:{positive}\:{integers}\:{with}\:{b}\:{odd}. \\ $$$${Let}\:{n}\:{be}\:{a}\:{positive}\:{integer}\:{as}\:{well}.\:{If}\:\:{b}^{{n}} \:{divides} \\ $$$${a}^{{n}} −\mathrm{1},\:{prove}\:{that}\:{a}^{{b}} \:>\:\frac{\mathrm{3}^{{n}} }{{n}}. \\ $$$${Solution}\:{please}.\:{Thanks}\:{in}\:{advance}!! \\ $$ Terms of Service…
Question Number 31865 by rahul 19 last updated on 16/Mar/18 $${Range}\:{of}\:{function}\:: \\ $$$${f}\left({x}\right)=\:\mathrm{6}^{{x}} +\mathrm{3}^{{x}} +\mathrm{6}^{−{x}} +\mathrm{3}^{−{x}} +\mathrm{2}. \\ $$ Commented by rahul 19 last updated…
Question Number 31864 by rahul 19 last updated on 16/Mar/18 $${Let}\:{S}_{{n}} =\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{4}{n}} {\sum}}\left(−\mathrm{1}\right)^{\frac{{k}\left({k}+\mathrm{1}\right)}{\mathrm{2}}} {k}^{\mathrm{2}} . \\ $$$${Then}\:{S}_{{n}} \:{can}\:{take}\:{the}\:{value}\left({s}\right) \\ $$$$\left.\mathrm{1}\right)\:\mathrm{1056} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{1088} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{1120}…
Question Number 97386 by Farruxjano last updated on 07/Jun/20 Commented by Farruxjano last updated on 07/Jun/20 $$\boldsymbol{{When}}\:\boldsymbol{{you}}'\boldsymbol{{ve}}\:\boldsymbol{{got}}\:\boldsymbol{{a}}\:\boldsymbol{{little}}\:\boldsymbol{{time}}, \\ $$$$\boldsymbol{{please}},\:\boldsymbol{{help}}\:\boldsymbol{{sir}}:\:\boldsymbol{{mr}}\:\boldsymbol{{W}} \\ $$ Commented by mr W…
Question Number 162876 by HongKing last updated on 01/Jan/22 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\underset{\:\mathrm{0}} {\overset{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\:\left(\mathrm{xcot}\boldsymbol{\mathrm{x}}\:\centerdot\:\mathrm{lncos}^{\mathrm{2}} \boldsymbol{\mathrm{x}}\:+\:\mathrm{ln}^{\mathrm{2}} \mathrm{cos}\boldsymbol{\mathrm{x}}\right)\mathrm{dx}\:=\:\frac{\pi^{\mathrm{3}} }{\mathrm{24}} \\ $$ Terms of Service Privacy Policy Contact:…