Question Number 120140 by help last updated on 29/Oct/20 Answered by nimnim last updated on 29/Oct/20 $$\left({x},{y},{z}\right)=\left(\mathrm{2},\mathrm{4},−\mathrm{3}\right) \\ $$ Commented by help last updated on…
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Question Number 120131 by huotpat last updated on 29/Oct/20 Commented by Dwaipayan Shikari last updated on 29/Oct/20 $$\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\frac{\mathrm{2}^{{x}} −\mathrm{2}^{\mathrm{3}} }{{sin}\left(\pi{x}\right)}=\mathrm{2}^{\mathrm{3}} \frac{\mathrm{2}^{{x}−\mathrm{3}} −\mathrm{1}}{{sin}\left(\mathrm{3}\pi−\pi{x}\right)} \\ $$$$=\mathrm{2}^{\mathrm{3}}…
Question Number 120127 by huotpat last updated on 29/Oct/20 Answered by Dwaipayan Shikari last updated on 29/Oct/20 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\mathrm{1}−{x}+{logx}}{\left({x}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$=\frac{\mathrm{1}−{x}+{log}\left(\mathrm{1}+{x}−\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)^{\mathrm{2}} }=\frac{\mathrm{1}−{x}+{x}−\mathrm{1}−\frac{\left({x}−\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{2}}+\frac{\left({x}−\mathrm{1}\right)^{\mathrm{3}} }{\mathrm{3}}−…}{\left({x}−\mathrm{1}\right)^{\mathrm{2}}…
Question Number 120122 by Khalmohmmad last updated on 29/Oct/20 $$\begin{cases}{{s}_{\mathrm{12}} =\mathrm{30}}\\{{s}_{\mathrm{8}} =\mathrm{4}}\end{cases}\:\:\:{a}_{\mathrm{3}} =? \\ $$ Commented by Dwaipayan Shikari last updated on 29/Oct/20 $${a}_{\mathrm{3}} =−\mathrm{1}…
Question Number 54588 by hassentimol last updated on 07/Feb/19 $$\mathrm{What}\:\mathrm{is}\:: \\ $$$$\:\:\:\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\:{u}\left({x}\right)\:×\:{v}\left({x}\right)\:×\:{w}\left({x}\right)\:\right]\:=\:… \\ $$$$ \\ $$$$\mathrm{and}\:\mathrm{more}\:\mathrm{generally},\:\mathrm{what}\:\mathrm{is}\:: \\ $$$$\:\:\:\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\:\underset{{i}=\mathrm{1}} {\overset{{n}} {\prod}}\:{u}_{{i}} \left({x}\right)\right]\:=\:… \\ $$$$ \\ $$$$\mathrm{Thank}\:\mathrm{you}…
Question Number 185640 by leicianocosta last updated on 24/Jan/23 Answered by leicianocosta last updated on 24/Jan/23 Answered by manxsol last updated on 24/Jan/23 $$ \\…
Question Number 120092 by danielasebhofoh last updated on 29/Oct/20 Commented by Lordose last updated on 29/Oct/20 SMALL EINSTEIN..?�� Answered by Lordose last updated on 29/Oct/20 $$\Omega\:=\:\int\frac{\mathrm{2x}^{\mathrm{2}}…
Question Number 185625 by LEKOUMA last updated on 24/Jan/23 $${D}\acute {{e}terminer}\:{a},\:{b}\:{et}\:{c}\:{trois}\:{termes}\:{cons}\acute {{e}quences} \\ $$$${d}'{une}\:{suite}\:{g}\acute {{e}ometrique}\:{tels}\:{que}: \\ $$$$\begin{cases}{{a}+{b}+{c}=\mathrm{36},\mathrm{75}}\\{{abc}=\mathrm{343}}\end{cases} \\ $$ Answered by mr W last updated…
Question Number 120091 by ZiYangLee last updated on 29/Oct/20 $$\mathrm{When}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\left({x}−\mathrm{1}\right)\left({x}+\mathrm{2}\right),\: \\ $$$$\mathrm{the}\:\mathrm{remainder}\:\mathrm{is}\:\left({x}+\mathrm{3}\right),\:\mathrm{and}\:\mathrm{when}\:{f}\left({x}\right) \\ $$$$\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\left({x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}\right),\:\mathrm{the}\:\mathrm{remainder} \\ $$$$\mathrm{is}\:\left(\mathrm{2}{x}+\mathrm{1}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{divided} \\ $$$$\mathrm{by}\:\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}\right). \\ $$ Answered…