Question Number 147187 by mathdanisur last updated on 18/Jul/21 $${if}\:\:\left(\overline {{xyz}}\right)^{\mathrm{2}} \:=\:\left({x}+{y}+{z}\right)^{\mathrm{5}} \:\:{then}\:{find}: \\ $$$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} −\mid\left({x}+{y}+{z}\right)+\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \right)\mid \\ $$ Commented by…
Question Number 81649 by Power last updated on 14/Feb/20 Commented by Power last updated on 14/Feb/20 $$\mathrm{BDM}\:\:\mathrm{triangular}\:\mathrm{face}−? \\ $$ Commented by Power last updated on…
Question Number 81647 by john santu last updated on 14/Feb/20 $$\mathrm{how}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{number}\: \\ $$$$\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3},\:\mathrm{then}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{a}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{3} \\ $$ Commented by mr W last updated on 14/Feb/20…
Question Number 16110 by vpawarksp@gmail.com last updated on 18/Jun/17 $$\mathrm{let}\:\mathrm{a}_{\mathrm{1}} >\mathrm{a}_{\mathrm{2}} >\mathrm{0}\:\mathrm{and}\:\mathrm{a}_{\mathrm{n}+\mathrm{1}} =\sqrt{\mathrm{a}_{\mathrm{n}} \mathrm{a}_{\mathrm{n}−\mathrm{1}\:\:\:} } \\ $$$$\mathrm{where}\:\mathrm{n}\:\mathrm{is}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{2}\: \\ $$$$\mathrm{Then} \\ $$$$\mathrm{The}\:\mathrm{sequence}\:\left\{\mathrm{a}_{\mathrm{2n}} \right\}\:\mathrm{is}\: \\ $$$$\left(\mathrm{1}\right)\:\mathrm{monotonic}\:\mathrm{increasing} \\…
Question Number 147183 by mathdanisur last updated on 18/Jul/21 $${prove}\:{that} \\ $$$$\boldsymbol{{e}}^{\sqrt{\mathrm{2}}\:+\:\sqrt{\mathrm{3}}} \:>\:\frac{\mathrm{13}\:+\:\mathrm{2}\sqrt{\mathrm{6}}}{\mathrm{2}} \\ $$ Answered by mindispower last updated on 18/Jul/21 $$\Leftrightarrow{e}^{\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}} >\mathrm{1}+\mathrm{3}+\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{5}+\mathrm{2}\sqrt{\mathrm{6}}\right)\left({E}\right) \\…
Question Number 16108 by Joel577 last updated on 18/Jun/17 Commented by Joel577 last updated on 18/Jun/17 $$\mathrm{How}\:\mathrm{to}\:\mathrm{find}\:\angle{PAD}\:? \\ $$ Answered by ajfour last updated on…
Question Number 147176 by Lewis junior last updated on 18/Jul/21 Answered by Olaf_Thorendsen last updated on 18/Jul/21 $$\left(\mathrm{1}\right) \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Soit}\:{x}\in\mathbb{R}_{+} ^{\ast} . \\ $$$$ \\…
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Question Number 81636 by jagoll last updated on 14/Feb/20 $$\int\:\frac{{x}\left(\mathrm{tan}^{−\mathrm{1}} \left({x}\right)\right)^{\mathrm{2}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\:{dx}\:=\: \\ $$ Commented by mind is power last updated on 14/Feb/20…