Question Number 147146 by mathdanisur last updated on 18/Jul/21 Answered by mr W last updated on 18/Jul/21 $${h}=\frac{\mathrm{2}{S}}{{a}}=\frac{\mathrm{2}×\mathrm{12}}{\mathrm{4}}=\mathrm{6}\:{sm} \\ $$$${V}=\mathrm{2}\pi×\mathrm{12}×\frac{\mathrm{6}}{\mathrm{3}}=\mathrm{48}\pi\:{sm}^{\mathrm{3}} \\ $$ Commented by mathdanisur…
Question Number 147137 by mathdanisur last updated on 18/Jul/21 Answered by bramlexs22 last updated on 18/Jul/21 $$\mathrm{AB}\:=\:\mathrm{DC} \\ $$$$\Rightarrow\begin{pmatrix}{\:\:−\mathrm{4}}\\{\mathrm{m}−\mathrm{7}}\\{\:\:\:\:\:\mathrm{16}}\end{pmatrix}\:=\:\begin{pmatrix}{\mathrm{3}−\mathrm{n}}\\{−\mathrm{10}}\\{\mathrm{p}−\mathrm{10}}\end{pmatrix} \\ $$$$\:\blacktriangle\begin{cases}{\mathrm{n}=\mathrm{7}}\\{\mathrm{m}=−\mathrm{3}}\\{\mathrm{p}=\mathrm{26}}\end{cases}\:\:\Rightarrow\mathrm{m}+\mathrm{n}+\mathrm{p}\:=\:\mathrm{30} \\ $$ Commented by…
Question Number 81598 by zainal tanjung last updated on 03/Mar/20 $$\mathrm{fog}\left(\mathrm{x}\right)=\mathrm{8x}+\mathrm{3} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{2x}−\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=…..? \\ $$$$ \\ $$$$\mathrm{gof}\left(\mathrm{x}\right)=\mathrm{6x}+\mathrm{1} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=…..? \\ $$$$…
Question Number 81596 by zainal tanjung last updated on 14/Feb/20 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3x}+\mathrm{1}\:,\:\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{3} \\ $$$$\left.\mathrm{a}\right).\:\mathrm{fog}\left(\mathrm{x}\right)=…. \\ $$$$\left.\mathrm{b}\right).\:\mathrm{gof}\left(\mathrm{x}\right)=…. \\ $$ Commented by Tony Lin last updated on 14/Feb/20…
Question Number 81597 by zainal tanjung last updated on 14/Feb/20 $$\mathrm{fog}\left(\mathrm{x}\right)=\mathrm{5x}+\mathrm{6} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{1} \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=…..? \\ $$ Commented by Tony Lin last updated on 14/Feb/20…
Question Number 147134 by mathdanisur last updated on 18/Jul/21 $$\sqrt{\mathrm{2}{sin}\left({x}\right)−\mathrm{1}}\:\centerdot\:{sin}\left({x}\right)\:>\:\mathrm{0} \\ $$ Commented by hknkrc46 last updated on 18/Jul/21 $$\blacktriangleright\:\mathrm{2sin}\:\boldsymbol{{x}}\:−\:\mathrm{1}\:>\:\mathrm{0}\:\:\wedge\:\mathrm{sin}\:\boldsymbol{{x}}\:>\:\mathrm{0} \\ $$$$\Rightarrow\:\mathrm{sin}\:\boldsymbol{{x}}\:>\:\frac{\mathrm{1}}{\mathrm{2}}\:\wedge\:\mathrm{sin}\:\boldsymbol{{x}}\:>\:\mathrm{0}\:\equiv\:\mathrm{sin}\:\boldsymbol{{x}}\:>\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\blacktriangleright\:\frac{\boldsymbol{\pi}}{\mathrm{6}}\:<\:\boldsymbol{{x}}\:<\:\frac{\mathrm{5}\boldsymbol{\pi}}{\mathrm{6}}\:\: \\…
Question Number 147122 by mathdanisur last updated on 18/Jul/21 $$\underset{\boldsymbol{{n}}\rightarrow\infty} {{lim}}\:\underset{\boldsymbol{{k}}=\mathrm{1}} {\overset{\boldsymbol{{n}}} {\sum}}\mathrm{2}^{\boldsymbol{{k}}} \centerdot\left(\sqrt[{\mathrm{2}^{\boldsymbol{{k}}} }]{\mathrm{2}}−\mathrm{1}\right)^{\mathrm{2}} \:=\:?\: \\ $$ Answered by Kamel last updated on 18/Jul/21…
Question Number 147116 by Rasheed.Sindhi last updated on 18/Jul/21 $${a}+{b}+{c}=\mathrm{1} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{1} \\ $$$${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} =\mathrm{1} \\ $$$${a}\:,\:{b}\:,\:{c}\:=? \\ $$ Commented…
Question Number 16047 by vpawarksp@gmail.com last updated on 17/Jun/17 $${number}\:{of}\:{real}\:{solution}\:{of}\:{equation}\:\:\:\:{a}^{\mathrm{2008}} \:+\:\:{b}^{\mathrm{2008}} \:\:=\:\mathrm{2008}{ab}−\mathrm{2006}\:\:\:\:\:\:\:\:\: \\ $$ Commented by Tinkutara last updated on 17/Jun/17 $$\mathrm{You}\:\mathrm{can}\:\mathrm{verify}\:\mathrm{that}\:{a}\:=\:{b}\:=\:\mathrm{1}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{equation}. \\…
Question Number 147119 by mathdanisur last updated on 18/Jul/21 $${if}\:\:\:{x}>−\mathrm{1}\:,\:{q}\geqslant\mathrm{2}\:\:\:{then}: \\ $$$$\left(\mathrm{1}+{x}\right)^{\boldsymbol{{q}}} \:\geqslant\:\mathrm{1}+{qx}+\left({q}−\mathrm{1}\right){x}^{\mathrm{2}} \\ $$ Answered by mindispower last updated on 18/Jul/21 $$ \\ $$$$\mathrm{1}+{qx}+\left({q}−\mathrm{1}\right){x}^{\mathrm{2}}…