Question Number 275 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{6867865396}\boldsymbol{\div}\mathrm{678} \\ $$$$ \\ $$ Answered by ssahoo last updated on 18/Dec/14 $$=\mathrm{10129594}.\mathrm{979351} \\ $$ Terms…
Question Number 131344 by Algoritm last updated on 03/Feb/21 Answered by bluberry508 last updated on 06/Feb/21 $$ \\ $$$$ \\ $$$$\left(\mathrm{1}+{i}\right)=\sqrt{\mathrm{2}}{e}^{\frac{{i}\pi}{\mathrm{4}}+\mathrm{2}{ai}\pi} \\ $$$$\left({a}\in\mathbb{Z}\right) \\ $$$$…
Question Number 131346 by Mbeskreo last updated on 03/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 272 by 123456 last updated on 25/Jan/15 $$\mathrm{given}\:\mathrm{f}\left(\mathrm{x},{y}\right)={ax}+{bxy}+{cy}\:\mathrm{for}\:\left(\mathrm{x},{y}\right)\in\mathbb{R}^{\mathrm{2}} \\ $$$$\mathrm{proof}\:\mathrm{that}\:\mathrm{if}\:\mid{a}−{c}\mid\leqslant\mathrm{1}\:\mathrm{then}\:\mid{f}\left({x},{y}\right)−{f}\left({y},{x}\right)\mid\leqslant\mid{x}−{y}\mid \\ $$$$\mathrm{is}\:\mathrm{f}\left(\mathrm{x},{y}\right)\:\mathrm{bounced}? \\ $$ Answered by prakash jain last updated on 18/Dec/14 $${f}\left({x},{y}\right)−{f}\left({y},{x}\right)={ax}+{bxy}+{cy}−{ay}−{bxy}−{cx}…
Question Number 271 by 123456 last updated on 25/Jan/15 $$\:{x}^{\mathrm{3}} \frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }+{x}^{\mathrm{2}} \frac{{dy}}{{dx}}+{xy}=\mathrm{2}−{x} \\ $$$${y}\left(\mathrm{1}\right)=\mathrm{0} \\ $$$${y}'\left(\mathrm{1}\right)=−\mathrm{1} \\ $$ Answered by prakash jain last…
Question Number 131343 by physicstutes last updated on 03/Feb/21 $$\mathrm{A}\:\mathrm{mapping}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{as}\:{G}\rightarrow{S}\:\mathrm{where}\:\left({G},×\right)\:\mathrm{and}\:\left({S},+\right), \\ $$$$\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{mapping}\:{f}\left({x}\right)\:=\:\mathrm{ln}\:{x}\:\mathrm{is}\:\mathrm{an}\:\mathrm{isomophism}. \\ $$ Answered by mindispower last updated on 04/Feb/21 $${isomlrphisme}\:{is}\:{bijection}\:\:{morphisme} \\ $$$${without}\:{knowing}\:{G}\:{and}\:{S}\:{we}\:{can}\:{say}\:{just} \\…
Question Number 131342 by 0731619177 last updated on 03/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 65805 by ~ À ® @ 237 ~ last updated on 04/Aug/19 $$\:\:{Prove}\:{that}\:\:{I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{dt}}{\mathrm{1}+\left({tant}\right)^{{n}} }\:\:{does}\:{not}\:{depend}\:{of}\:{the}\:{term}\:{n} \\ $$$${deduces}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2035}}…
Question Number 264 by novrya last updated on 17/Dec/14 $${If}\:{f}\left(\mathrm{1}\right)=\mathrm{1}\:{and}\:{f}\:'\left({x}\right)=\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\left({f}\left({x}\right)\right)^{\mathrm{2}} }\:{then}\: \\ $$$${li}\underset{{x}\rightarrow\infty} {{m}}\:{f}\left({x}\right)=\:…. \\ $$ Commented by 123456 last updated on 17/Dec/14 $$\frac{{dy}}{{dx}}=\frac{\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 131333 by ZiYangLee last updated on 03/Feb/21 $$\mathrm{Given}\:\mathrm{that}\: \\ $$$$\begin{cases}{{x}+{y}=\mathrm{2}}\\{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{6}}\end{cases} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} . \\ $$ Answered by mr W last…