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0-3-x-x-2-x-2-dx-

Question Number 64984 by naka3546 last updated on 23/Jul/19 $$\underset{\mathrm{0}} {\int}\:\overset{\mathrm{3}} {\:}\:{x}\:\mid{x}^{\mathrm{2}} \:−\:{x}\:−\:\mathrm{2}\mid\:{dx}\:\:=\:\:? \\ $$ Commented by kaivan.ahmadi last updated on 23/Jul/19 $${x}^{\mathrm{2}} −{x}−\mathrm{2}=\mathrm{0}\Rightarrow{x}=−\mathrm{1},\mathrm{2} \\…

Find-the-value-of-4-sin-2pi-7-sec-pi-14-cot-pi-7-

Question Number 130465 by naka3546 last updated on 25/Jan/21 $${Find}\:\:{the}\:\:{value}\:\:{of} \\ $$$$\:\:\:\:\:\:\:\frac{\mathrm{4}\:\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)\:+\:\mathrm{sec}\:\left(\frac{\pi}{\mathrm{14}}\right)}{\mathrm{cot}\:\left(\frac{\pi}{\mathrm{7}}\right)} \\ $$ Answered by Dwaipayan Shikari last updated on 26/Jan/21 $$\frac{\mathrm{4}{sin}\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right){cos}\left(\frac{\pi}{\mathrm{14}}\right){sin}\left(\frac{\pi}{\mathrm{7}}\right)+{sin}\left(\frac{\pi}{\mathrm{7}}\right)}{{cos}\frac{\pi}{\mathrm{7}}{cos}\frac{\pi}{\mathrm{14}}} \\ $$$$=\frac{\mathrm{2}{cos}\frac{\pi}{\mathrm{7}}{cos}\frac{\pi}{\mathrm{14}}−\mathrm{2}{cos}\frac{\mathrm{3}\pi}{\mathrm{7}}{cos}\frac{\pi}{\mathrm{14}}+{sin}\frac{\pi}{\mathrm{14}}}{{cos}\frac{\pi}{\mathrm{7}}{cos}\frac{\pi}{\mathrm{14}}}…

1-3-7-15-30-57-103-x-What-s-x-

Question Number 64903 by naka3546 last updated on 23/Jul/19 $$\mathrm{1},\:\mathrm{3},\:\mathrm{7},\:\mathrm{15},\:\mathrm{30},\:\mathrm{57},\:\mathrm{103},\:{x} \\ $$$${What}'{s}\:\:{x}\:? \\ $$ Commented by Tony Lin last updated on 23/Jul/19 $${f}\left(\mathrm{1}\right)=\mathrm{1},{f}\left(\mathrm{2}\right)=\mathrm{3},{f}\left(\mathrm{3}\right)=\mathrm{7},{f}\left(\mathrm{4}\right)=\mathrm{15} \\ $$$${f}\left(\mathrm{5}\right)=\mathrm{30},{f}\left(\mathrm{6}\right)=\mathrm{57},{f}\left(\mathrm{7}\right)=\mathrm{103},{f}\left(\mathrm{8}\right)={x}…

find-singular-point-for-each-1-f-z-e-z-z-2-2-f-z-sinz-z-3-f-z-1-cosz-sinz-2-4-f-z-ln-z-how-can-solve-this-help-me-sir-

Question Number 130416 by mohammad17 last updated on 25/Jan/21 $${find}\:{singular}\:{point}\:{for}\:{each}\: \\ $$$$ \\ $$$$\left(\mathrm{1}\right){f}\left({z}\right)=\frac{{e}^{{z}} }{{z}^{\mathrm{2}} }\:\:\:\:\:\:\:,\:\:\:\:\left(\mathrm{2}\right){f}\left({z}\right)=\frac{{sinz}}{{z}}\:\:\:, \\ $$$$ \\ $$$$\left(\mathrm{3}\right){f}\left({z}\right)=\frac{\mathrm{1}−{cosz}}{{sinz}^{\mathrm{2}} }\:\:\:\:\:,\:\:\:\left(\mathrm{4}\right){f}\left({z}\right)={ln}\mid{z}\mid \\ $$$$ \\ $$$${how}\:{can}\:{solve}\:{this}\:{help}\:{me}\:{sir}…

for-Tawa-an-old-problem-explained-1-x-y-z-2-x-2-y-2-z-2-3-x-3-y-3-z-3-are-given-4-x-4-y-4-z-4-p-5-x-5-y-5-z-5-q-find-p-q-we-could-try-to-solve-the-system-b

Question Number 64797 by MJS last updated on 21/Jul/19 $$\mathrm{for}\:\mathrm{Tawa},\:\mathrm{an}\:\mathrm{old}\:\mathrm{problem}\:\mathrm{explained} \\ $$$$\left(\mathrm{1}\right)\:\:{x}+{y}+{z}=\alpha \\ $$$$\left(\mathrm{2}\right)\:\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\beta \\ $$$$\left(\mathrm{3}\right)\:\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\gamma \\ $$$$\alpha,\:\beta,\:\gamma\:\mathrm{are}\:\mathrm{given} \\…