Question Number 161463 by ZiYangLee last updated on 18/Dec/21 $$\mathrm{Let}\:{f}\left({x}\right)=\:{x}+\mid{x}\mid−\mathrm{1}.\: \\ $$$$\mathrm{Find}\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{{f}\left({x}\right)−{f}\left(\mathrm{0}\right)}{{x}−\mathrm{0}}\:\mathrm{and}\:\underset{{x}\rightarrow\mathrm{0}^{−} } {\mathrm{lim}}\:\frac{{f}\left({x}\right)−{f}\left(\mathrm{0}\right)}{{x}−\mathrm{0}}. \\ $$$$\mathrm{Hence},\:\mathrm{determine}\:\mathrm{whether}\:{f}\left({x}\right)\:\mathrm{is}\: \\ $$$$\mathrm{differentiable}\:\mathrm{at}\:{x}=\mathrm{0}. \\ $$ Answered by TheSupreme…
Question Number 161462 by ZiYangLee last updated on 18/Dec/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{particular}\:\mathrm{solution}\:\mathrm{to}\:\mathrm{the}\:\mathrm{differential} \\ $$$$\mathrm{equation}\:\mathrm{2}{y}''+\mathrm{5}{y}'+\mathrm{2}{y}=\mathrm{0}\:\mathrm{subject}\:\mathrm{to}\:\mathrm{the}\:\mathrm{initial} \\ $$$$\mathrm{conditions}\:\:{y}\left(\mathrm{0}\right)=\mathrm{2}{y}\:,\:\:{y}'\left(\mathrm{0}\right)=\mathrm{1}\:. \\ $$ Answered by TheSupreme last updated on 18/Dec/21 $$\mathrm{2}\lambda^{\mathrm{2}} +\mathrm{5}\lambda+\mathrm{2}=\mathrm{0}…
Question Number 30373 by Tinkutara last updated on 21/Feb/18 Commented by Tinkutara last updated on 21/Feb/18 What is the output of this code segment? Commented by mrW2 last updated on 22/Feb/18 $$\mathrm{1}\:\:\mathrm{1}…
Question Number 30355 by mondodotto@gmail.com last updated on 21/Feb/18 Answered by $@ty@m last updated on 21/Feb/18 $$\mathrm{120} \\ $$ Commented by mondodotto@gmail.com last updated on…
Question Number 30350 by mondodotto@gmail.com last updated on 21/Feb/18 Answered by Rasheed.Sindhi last updated on 21/Feb/18 $${w}:\mathrm{width}\:,\:{l}:\mathrm{length} \\ $$$$\mathrm{2}{w}={l}+\mathrm{3} \\ $$$$\mathrm{2}{l}+\mathrm{2}{w}=\mathrm{36} \\ $$$$\mathrm{2}{l}+\left({l}+\mathrm{3}\right)=\mathrm{36} \\ $$$$\mathrm{3}{l}=\mathrm{36}−\mathrm{3}=\mathrm{33}…
Question Number 30340 by mondodotto@gmail.com last updated on 20/Feb/18 Answered by mrW2 last updated on 20/Feb/18 $$\mathrm{4}^{{x}} =\mathrm{16}{x} \\ $$$${e}^{{x}\mathrm{ln}\:\mathrm{4}} =\mathrm{16}{x} \\ $$$${xe}^{−{x}\mathrm{ln}\:\mathrm{4}} =\frac{\mathrm{1}}{\mathrm{16}} \\…
Question Number 161410 by saly last updated on 17/Dec/21 Commented by saly last updated on 17/Dec/21 $$\:\:{Thank}\:{you} \\ $$ Commented by saly last updated on…
Question Number 95860 by omere hum aFreeN last updated on 28/May/20 $$\overset{−} {{A}}\centerdot\left({B}+\overset{−} {{B}}\right)\centerdot\left({C}+\overset{−} {{C}}\right)\centerdot\left({D}+\overset{−} {{D}}\right) \\ $$ Answered by omere hum aFreeN last updated…
Question Number 161381 by mkam last updated on 17/Dec/21 $$\int\:\frac{{dy}}{\:\sqrt{{ae}^{{y}} +\mathrm{1}}} \\ $$ Answered by MohammadAzad last updated on 17/Dec/21 $${u}={e}^{{y}} \\ $$$${du}={e}^{{y}} {dy} \\…
Question Number 95846 by naka3546 last updated on 28/May/20 $${A}\:=\:\left\{\:\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:…\:,\:\mathrm{2020}\:\right\} \\ $$$${how}\:\:{many}\:\:{zero}\:\:{on}\:\:{A}\:? \\ $$ Answered by Rasheed.Sindhi last updated on 28/May/20 $$'\_'\:\mathrm{is}\:\mathrm{nonzero}\:\mathrm{digit}\:\mathrm{in}\:\mathrm{the}\:\mathrm{following}. \\ $$$$\mathrm{1}-\mathrm{digit}\:\mathrm{numbers}: \\…