Question Number 143578 by mohammad17 last updated on 15/Jun/21 Commented by mohammad17 last updated on 15/Jun/21 $${how}\:{can}\:{it}\:{solve}\:{this} \\ $$ Commented by mohammad17 last updated on…
Question Number 143575 by Mathspace last updated on 15/Jun/21 $${find}\:{L}\left({e}^{−\sqrt{{x}}} \right) \\ $$ Answered by Dwaipayan Shikari last updated on 15/Jun/21 $$\mathscr{L}\left({e}^{−\sqrt{{x}}} \right)=\int_{\mathrm{0}} ^{\infty} {e}^{−{sx}}…
Question Number 78037 by Pratah last updated on 13/Jan/20 Commented by MJS last updated on 13/Jan/20 $$\mathrm{see}\:\mathrm{question}\:\mathrm{77009} \\ $$ Commented by Pratah last updated on…
Question Number 12500 by FilupS last updated on 24/Apr/17 $$\mathrm{Please}\:\mathrm{help}\:\mathrm{explain}\:\mathrm{how}\:\mathrm{to}\:\mathrm{solve} \\ $$$$\int{e}^{\frac{\mathrm{1}}{{x}}} {dx} \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 24/Apr/17 $${e}^{\frac{\mathrm{1}}{{x}}} ={t}\Rightarrow\frac{\mathrm{1}}{{x}}={lnt}\Rightarrow\left({lnx}+{c}\right)^{'} ={lnt}\Rightarrow…
Question Number 12499 by tawa last updated on 23/Apr/17 $$\mathrm{Water}\:\mathrm{flows}\:\mathrm{out}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tank}\:\mathrm{through}\:\mathrm{a}\:\mathrm{hole}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{2cm}\:\mathrm{above}\:\mathrm{the}\:\mathrm{hole} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{outflow} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{The}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{outflow}\:\mathrm{when}\:\mathrm{the}\:\mathrm{level}\:\mathrm{of}\:\mathrm{the}\:\mathrm{water}\:\mathrm{in}\:\mathrm{the}\:\mathrm{tank}\:\mathrm{is}\:\mathrm{2cm}\:\mathrm{above} \\ $$$$\mathrm{the}\:\mathrm{hole}.\: \\ $$ Answered by sandy_suhendra last updated on 24/Apr/17…
Question Number 143570 by cesarL last updated on 15/Jun/21 Answered by Ar Brandon last updated on 15/Jun/21 $$\mathrm{I}=\int\mathrm{tan}^{\mathrm{2}} \mathrm{8xsec}^{\mathrm{4}} \mathrm{8xdx} \\ $$$$\:\:=\int\mathrm{tan}^{\mathrm{2}} \mathrm{8xsec}^{\mathrm{2}} \mathrm{8x}\centerdot\mathrm{sec}^{\mathrm{2}} \mathrm{8xdx}…
Question Number 12495 by shardon last updated on 23/Apr/17 $${find}\:{the}\:{real}\:{values}\:{of}\:{x}\:{for}\:{which} \\ $$$${the}\:{function}\:{f}\left({x}\right)=\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{2}} \\ $$$$ \\ $$ Commented by mrW1 last updated on 23/Apr/17…
Question Number 12492 by shardon last updated on 23/Apr/17 $${this}\:{is}\:{calculus}\: \\ $$$${evaluate}\:{lim}_{{x}\rightarrow\mathrm{0}} \frac{{sin}\mathrm{3}{xsin}\mathrm{5}{x}}{\mathrm{7}{x}^{\mathrm{2}} } \\ $$ Commented by shardon last updated on 23/Apr/17 $${what}\:{happen}\:{to}\:{the}\:{x}^{\mathrm{2}} \\…
Question Number 143561 by ZiYangLee last updated on 15/Jun/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}−\frac{\mathrm{2}}{{x}^{} }+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)^{{x}} =? \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\sqrt{{n}}−\sqrt{{n}−\mathrm{1}}\right)\sqrt{{n}+\mathrm{1}}\:=? \\ $$ Answered by mr W last updated…
Question Number 78027 by ajfour last updated on 13/Jan/20 Commented by ajfour last updated on 13/Jan/20 $${Determine}\:{the}\:{radius}\:{in}\:{c}. \\ $$ Answered by MJS last updated on…