Question Number 62372 by Rasheed.Sindhi last updated on 20/Jun/19 $${Solve}\:{for}\:{x}\:,\:{y} \\ $$$$\mathrm{3}{x}>\mathrm{2}{y}\:\wedge\:\mathrm{2}{x}<\mathrm{3}{y}\: \\ $$$${where}\:{x},{y}\in\mathbb{N} \\ $$ Answered by MJS last updated on 20/Jun/19 $$\frac{\mathrm{2}}{\mathrm{3}}{y}<{x}<\frac{\mathrm{3}}{\mathrm{2}}{y}\:\wedge\:{y}>\mathrm{0} \\…
Question Number 127904 by bramlexs22 last updated on 03/Jan/21 $$\:\mathrm{prove}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\:\mathrm{100}} \:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{x}\left(\mathrm{100}−\mathrm{x}\right)}}\:=\:\pi \\ $$ Answered by liberty last updated on 03/Jan/21 $$\:\mathrm{let}\:\mathrm{x}\:=\:\mathrm{100}\:\mathrm{sin}^{\mathrm{2}} \:\mathrm{t}\:\Rightarrow\mathrm{dx}=\:\mathrm{200}\:\mathrm{sin}\:\mathrm{t}\:\mathrm{cos}\:\mathrm{t}\:\mathrm{dt} \\ $$$$\:\int_{\mathrm{0}}…
Question Number 62363 by Tawa1 last updated on 20/Jun/19 Answered by MJS last updated on 20/Jun/19 $$\mathrm{big}\:\mathrm{circle}\:\left(\mathrm{let}\:{R}=\mathrm{1}\right) \\ $$$${x}=\pm\sqrt{\mathrm{1}−{y}^{\mathrm{2}} } \\ $$$$\mathrm{lines}\:\mathrm{of}\:\mathrm{tbe}\:\mathrm{triangle} \\ $$$${x}=\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}{y} \\…
Question Number 127897 by mathocean1 last updated on 02/Jan/21 $$ \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{if}\:\:\mathrm{p}\:\:\left(\mathrm{prime}\:\mathrm{integer}\right)\mathrm{divise}\: \\ $$$$\mathrm{a}^{{n}} \:\:\mathrm{then}\:\mathrm{p}\:\mathrm{divise}\:\mathrm{also}\:\mathrm{a}.\: \\ $$ Commented by JDamian last updated on 03/Jan/21 $${this}\:{question}\:{seems}\:{bizarre}\:{for}\:{me}\:{because}…
Question Number 127890 by nkuoyves last updated on 02/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 127888 by A8;15: last updated on 02/Jan/21 Answered by mindispower last updated on 02/Jan/21 $${x}={sh}\left({t}\right) \\ $$$$\Rightarrow{dx}={ch}\left({t}\right){dt} \\ $$$$\Leftrightarrow\int_{\mathrm{0}} ^{\infty} {sin}\left({ch}\left({t}\right)\right){cos}\left({sh}\left({t}\right)\right){dt}..=\Omega \\ $$$$\Lambda=\int_{\mathrm{0}}…
Question Number 127889 by A8;15: last updated on 02/Jan/21 Answered by mindispower last updated on 02/Jan/21 $$=\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{\mathrm{5}^{{n}} {n}} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}−{x}}=\underset{{n}\geqslant\mathrm{0}} {\sum}{x}^{{n}} \\ $$$$\Rightarrow\int_{\mathrm{0}} ^{{t}}…
Question Number 127887 by A8;15: last updated on 02/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 127885 by psyche last updated on 02/Jan/21 $$\int\left(\frac{\mathrm{sin}\:\left(\mathrm{2tan}^{−\mathrm{1}} \left({x}\right)+{x}\right)}{{x}}\right)\:\:{the}\:{limit}\:\left[\mathrm{0},\infty\right) \\ $$ Answered by Lordose last updated on 02/Jan/21 $$ \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\mathrm{sin}\left(\mathrm{2tan}^{−\mathrm{1}}…
Question Number 127882 by zakirullah last updated on 02/Jan/21 Commented by mr W last updated on 03/Jan/21 $${please}\:{pay}\:{attention}\:{when}\:{typing}! \\ $$$$\left(\mathrm{111}\right)\mathrm{8}\:{is}\:{misleading},\:{since}\:{you} \\ $$$${meant}\:\left(\mathrm{111}\right)_{\mathrm{8}} . \\ $$…