Question Number 64916 by Masumsiddiqui399@gmail.com last updated on 23/Jul/19 Commented by Tawa1 last updated on 23/Jul/19 $$\left(\mathrm{2}\:+\:\sqrt{\mathrm{3}}\right)^{\mathrm{x}} \:+\:\left(\frac{\mathrm{1}}{\mathrm{2}\:+\:\sqrt{\mathrm{3}}}\right)^{\mathrm{x}} \:=\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\mathrm{since}\:\:\:\:\mathrm{2}\:−\:\sqrt{\mathrm{3}}\:\:=\:\:\frac{\mathrm{1}}{\mathrm{2}\:+\:\sqrt{\mathrm{3}}}\:\:\mathrm{on}\:\mathrm{rationalise}\right] \\ $$$$\left(\mathrm{2}\:+\:\sqrt{\mathrm{3}}\right)^{\mathrm{x}} \:+\:\frac{\mathrm{1}}{\left(\mathrm{2}\:+\:\sqrt{\mathrm{3}}\right)^{\mathrm{x}} }\:=\:\:\mathrm{4} \\ $$$$\mathrm{Let}\:\:\:\:\:\left(\mathrm{2}\:+\:\sqrt{\mathrm{3}}\right)^{\mathrm{x}}…
Question Number 130448 by physicstutes last updated on 25/Jan/21 $$\mathrm{Given}\:\mathrm{that}\:{f}\left({x}\right)\:=\:{f}\left(\pi−{x}\right),\:\mathrm{prove}\:\mathrm{that}\:\int_{\mathrm{0}} ^{\pi} {xf}\left({x}\right){dx}\:=\:\frac{\pi}{\mathrm{2}}\int_{\mathrm{0}} ^{\pi} {f}\left({x}\right){dx}. \\ $$$$\mathrm{please}\:\mathrm{what}\:\mathrm{are}\:\mathrm{different}\:\mathrm{methods}\:\mathrm{to}\:\mathrm{approach}\:\mathrm{this}\:\mathrm{question}? \\ $$ Answered by TheSupreme last updated on 25/Jan/21…
Question Number 130449 by Dwaipayan Shikari last updated on 25/Jan/21 $$\frac{\mathrm{1}}{\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }−\frac{\mathrm{1}}{\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }+\frac{\mathrm{1}}{\left(\mathrm{6}−\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }−\frac{\mathrm{1}}{\left(\mathrm{6}+\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }+\frac{\mathrm{1}}{\left(\mathrm{10}−\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }−\frac{\mathrm{1}}{\left(\mathrm{10}+\sqrt{\mathrm{3}}\right)^{\mathrm{3}} }+.. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 64909 by Tawa1 last updated on 23/Jul/19 Commented by MJS last updated on 23/Jul/19 $$\mathrm{the}\:\mathrm{picture}\:\mathrm{shows}\:\mathrm{2}\:\mathrm{circles},\:\mathrm{so}\:\mathrm{the}\:\mathrm{given} \\ $$$$\mathrm{numbers}\:\mathrm{don}'\mathrm{t}\:\mathrm{fit}.\:\mathrm{obviously}\:\mathrm{the}\:\mathrm{right}\:\mathrm{must} \\ $$$$\mathrm{be}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{the}\:\mathrm{above}/\mathrm{below}\:\mathrm{numbers} \\ $$ Commented by…
Question Number 130442 by greg_ed last updated on 25/Jan/21 $${g}\left({x}\right)=\mathrm{3}{x}−\mathrm{2}. \\ $$$$\mathrm{determine}\:{a}\:\mathrm{et}\:{b}\:\mathrm{such}\:\mathrm{that}\:{a}\:\leqslant\:{g}\left({x}\right)\:\leqslant\:{b}. \\ $$ Answered by mr W last updated on 25/Jan/21 $$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}{g}\left({x}\right)=−\infty \\…
Question Number 130440 by mohammad17 last updated on 25/Jan/21 Commented by mohammad17 last updated on 25/Jan/21 $${help}\:{me} \\ $$ Answered by mathmax by abdo last…
Question Number 64905 by ankan0 last updated on 23/Jul/19 $$\int\mathrm{log}\:\left(\mathrm{tan}\:\mathrm{x}\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 64904 by mathmax by abdo last updated on 23/Jul/19 $${calculate}\:\int_{\mathrm{1}} ^{\mathrm{2}} \:\int_{\mathrm{0}} ^{{x}} \:\:\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} }{dydx}\: \\ $$ Commented by ~ À…
Question Number 64903 by naka3546 last updated on 23/Jul/19 $$\mathrm{1},\:\mathrm{3},\:\mathrm{7},\:\mathrm{15},\:\mathrm{30},\:\mathrm{57},\:\mathrm{103},\:{x} \\ $$$${What}'{s}\:\:{x}\:? \\ $$ Commented by Tony Lin last updated on 23/Jul/19 $${f}\left(\mathrm{1}\right)=\mathrm{1},{f}\left(\mathrm{2}\right)=\mathrm{3},{f}\left(\mathrm{3}\right)=\mathrm{7},{f}\left(\mathrm{4}\right)=\mathrm{15} \\ $$$${f}\left(\mathrm{5}\right)=\mathrm{30},{f}\left(\mathrm{6}\right)=\mathrm{57},{f}\left(\mathrm{7}\right)=\mathrm{103},{f}\left(\mathrm{8}\right)={x}…
Question Number 64901 by LPM last updated on 23/Jul/19 Commented by LPM last updated on 23/Jul/19 $$\mathrm{KM}=? \\ $$ Commented by Tony Lin last updated…