Question Number 129061 by behi83417@gmail.com last updated on 12/Jan/21 Commented by mr W last updated on 12/Jan/21 $${is}\:{it}\:{not}\:{obvious}\:{that}\:{the}\:{maximal} \\ $$$${equilateral}\:{has}\:{the}\:{side}\:{length}\: \\ $$$$\mathrm{1}/\mathrm{cos}\:\mathrm{15}°=\sqrt{\mathrm{6}}−\sqrt{\mathrm{2}}? \\ $$ Commented…
Question Number 129048 by bramlexs22 last updated on 12/Jan/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{Laplace}\:\mathrm{transform} \\ $$$$\mathrm{of}\:\mathrm{f}\left(\mathrm{t}\right)\:=\:−\mathrm{4t}^{\mathrm{2}} −\mathrm{5sin}\:\mathrm{3t}\: \\ $$ Answered by Dwaipayan Shikari last updated on 12/Jan/21 $$\mathscr{L}\left({f}\left({t}\right)\right)=−\mathrm{4}\int_{\mathrm{0}} ^{\infty}…
Question Number 63481 by naka3546 last updated on 04/Jul/19 $${Find}\:\:{the}\:\:{solution}\:\:{of}\:\:{inequality}\:\:: \\ $$$$\:\:\:\:\:\:\:{x}^{\mathrm{2}} \:+\:\mid{x}\mid\:>\:\mathrm{6} \\ $$ Commented by mathmax by abdo last updated on 04/Jul/19 $$\left({ine}\right)\:\Rightarrow\mid{x}\mid^{\mathrm{2}}…
Question Number 63470 by aliesam last updated on 04/Jul/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63457 by smartsmith459@gmail.com last updated on 04/Jul/19 $$\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{{x}} \left(\frac{\mathrm{2}}{\mathrm{3}}\right)^{{y}} =\frac{\mathrm{32}}{\mathrm{27}}\:{find}\:{the}\:{value}\:{of}\:{x}\:{and}\:{yy} \\ $$$${y}. \\ $$ Commented by Prithwish sen last updated on 04/Jul/19 $$\:\:\frac{\mathrm{2}^{\mathrm{y}−\mathrm{2x}}…
Question Number 63399 by smartsmith459@gmail.com last updated on 03/Jul/19 $${if}\:\alpha\:{and}\:\beta\:{are}\:{the}\:{roots}\:{of}\:\mathrm{4}{x}^{\mathrm{2}\:} −\mathrm{6}{x}+\mathrm{1}===\mathrm{00}====================== \\ $$$$=\mathrm{0}.\:{find}\:\alpha^{\mathrm{3}} −\beta^{\mathrm{3}} . \\ $$ Commented by mr W last updated on 03/Jul/19…
Question Number 128910 by shaker last updated on 11/Jan/21 Answered by bramlexs22 last updated on 11/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{n}} −\mathrm{2}^{\mathrm{n}} −\mathrm{nx}.\mathrm{2}^{\mathrm{n}−\mathrm{1}} +\mathrm{n}.\mathrm{2}^{\mathrm{n}} }{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} }= \\ $$$$\:\underset{{x}\rightarrow\mathrm{2}}…
Question Number 128896 by ZiYangLee last updated on 11/Jan/21 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{even}\:\mathrm{obtaining}\:\mathrm{the}\:\mathrm{zero}\left(\mathrm{s}\right), \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{equation}\:\mathrm{has}\:\mathrm{only}\:\mathrm{one}\:\mathrm{zero}. \\ $$$${f}\left({t}\right)=\left(\mathrm{1}+\sqrt{\mathrm{2}}{t}\right)\left(\mathrm{1}−{t}^{\mathrm{2}} \right)+{t}^{\mathrm{2}} \left({t}+\sqrt{\mathrm{2}}\right) \\ $$ Answered by Olaf last updated on 11/Jan/21…
Question Number 128892 by n0y0n last updated on 11/Jan/21 Commented by mr W last updated on 11/Jan/21 $${r}={distance}\:{from}\:{pedal}\:{point}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\:{to}\:{a}\:{point}\:{C}\left({x},{y}\right)\:{on}\:{a}\:{curve} \\ $$$${p}={distance}\:{from}\:{pedal}\:{point}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\:\:\:\:\:\:\:{to}\:{the}\:{tangent}\:{of}\:{the}\:{curve}\:{at}\:{the} \\…
Question Number 128885 by naka3546 last updated on 11/Jan/21 $${e}^{{e}^{{x}} } \:=\:{x} \\ $$$${x}\:=\:? \\ $$ Commented by naka3546 last updated on 11/Jan/21 $${x}\:\in\:\mathbb{R}\:?\:{or}\:{x}\:\in\:\mathbb{C}\:? \\…