Question Number 129490 by 676597498 last updated on 16/Jan/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \mathrm{x}\sqrt{\mathrm{tanx}}\mathrm{dx} \\ $$ Answered by mnjuly1970 last updated on 16/Jan/21 $$\:\Omega=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {x}.{sin}^{\frac{\mathrm{1}}{\mathrm{2}}} \left({x}\right).{cos}^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 129462 by bemath last updated on 16/Jan/21 $$\mathrm{If}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{satisfy}\:\mathrm{of}\:\mathrm{equation}\: \\ $$$$\:\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{y}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{5}\:\mathrm{then}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{x}}{\mathrm{y}+\mathrm{1}}\:\mathrm{equal}\:\mathrm{to}\:?\: \\ $$ Commented by bramlexs22 last updated on 16/Jan/21…
Question Number 129445 by Engr_Jidda last updated on 15/Jan/21 $${Solve}\:{the}\:{ODE}'{s}\:{using}\:{lipschitz}\:{condition} \\ $$$${with}\:{constant}\:{k}. \\ $$$$\left.\mathrm{1}\right)\:{f}\left({x},{y}\right)={x}^{\mathrm{2}} \varrho^{{x}+{y}} \\ $$$$\left.\mathrm{2}\right)\:{f}\left({x},{y}\right)={x}\mid{y}\mid \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 63894 by mathmax by abdo last updated on 10/Jul/19 $${sove}\:{the}\:\left({de}\right)\:{x}^{\mathrm{2}} {y}^{'} \:−\left(\mathrm{2}{x}+\mathrm{3}\right){y}\:={sin}\left({x}^{\mathrm{2}} \right)\:\:{with}\:{y}\left(\mathrm{1}\right)=\mathrm{2}\:{and} \\ $$$${y}^{'} \left(\mathrm{1}\right)=\mathrm{1}\:. \\ $$ Commented by mathmax by abdo…
Question Number 63888 by Mikael last updated on 10/Jul/19 $${y}\:=\:{log}_{\mathrm{2}} \left[{log}_{\mathrm{3}} \left({log}_{\mathrm{5}} {x}\right)\right] \\ $$$${y}\:=\:? \\ $$ Answered by Hope last updated on 10/Jul/19 $${y}={log}_{\mathrm{2}}…
Question Number 63824 by mathmax by abdo last updated on 10/Jul/19 $${solve}\:{y}^{'} \sqrt{\mathrm{2}{x}−\mathrm{1}}\:+{y}\left({x}^{\mathrm{2}} +\mathrm{3}\right)\:={xsin}\left(\mathrm{2}{x}\right) \\ $$ Commented by mathmax by abdo last updated on 12/Jul/19…
Question Number 129344 by bramlexs22 last updated on 15/Jan/21 $$\:\mathrm{If}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\:\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{3}\:,\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{y}}{\mathrm{x}}\:? \\ $$ Answered by liberty last updated on 15/Jan/21…
Question Number 129319 by snipers237 last updated on 14/Jan/21 $${Prove}\:{that}\: \\ $$$$\:{if}\:{f}\:{is}\:{such}\:{as}\:{f}\:'\left({x}\right)=\frac{{f}\left({x}\right)}{{x}\left(\mathrm{1}−{x}−{f}\left({x}\right)\right)} \\ $$$${and}\:{f}\left(\mathrm{1}\right)=\mathrm{0}\:{but}\:{f}\:\ncong\Theta\:.\:{Then} \\ $$$$\:\bigstar\:{f}\:{is}\:{the}\:{unique}\:{bijection}\:{from}\:\mathbb{R}^{\ast} \:{to}\:\mathbb{R}\:{and}\: \\ $$$$\:\bigstar\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{f}\left({x}\right)=+\infty\:\:{and}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{xf}\left({x}\right)=\mathrm{0} \\ $$$$\:\bigstar\:\int_{\mathrm{0}} ^{+\infty} {f}^{−\mathrm{1}}…
Question Number 129317 by sdfg last updated on 14/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 129272 by mnjuly1970 last updated on 14/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{calculus}… \\ $$$$\:\:\:{evsluate}:: \\ $$$$\:\:\:\:\:\Omega=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \:\left(\frac{\Gamma\left({n}+\frac{\mathrm{3}}{\mathrm{2}}\right)}{\mathrm{2}^{{n}} \:\Gamma\left(\:\mathrm{2}{n}\:+\mathrm{2}\right)}\right)=??? \\ $$$$ \\ $$ Answered by Dwaipayan…