Question Number 130213 by benjo_mathlover last updated on 23/Jan/21 $$\:\mathrm{The}\:\mathrm{closest}\:\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{point}\:\mathrm{on}\: \\ $$$$\mathrm{the}\:\mathrm{ellipse}\:\mathrm{2x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} =\mathrm{8}\:\mathrm{to}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}=\mathrm{5x} \\ $$$$\mathrm{is}\:\_\_ \\ $$ Answered by liberty last updated on 23/Jan/21…
Question Number 64676 by meme last updated on 20/Jul/19 $${z}^{\mathrm{4}} −\mathrm{12}{iz}−\mathrm{100}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130208 by liberty last updated on 23/Jan/21 $$\:\mathrm{The}\:\mathrm{loop}\:\mathrm{of}\:\mathrm{curve}\:\mathrm{2ay}^{\mathrm{2}} =\mathrm{x}\left(\mathrm{x}−\mathrm{a}\right)^{\mathrm{2}} \\ $$$$\mathrm{revolves}\:\mathrm{about}\:\mathrm{straight}\:\mathrm{line}\: \\ $$$$\mathrm{y}=\mathrm{a}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solid} \\ $$$$\mathrm{generated}. \\ $$ Answered by benjo_mathlover last updated on…
Question Number 64671 by aliesam last updated on 20/Jul/19 Commented by mathmax by abdo last updated on 20/Jul/19 $${we}\:{have}\:\:\:{x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}\:\leqslant\:{sinx}\:\leqslant\:{x}\:\:\:{for}\:{all}\:{x}\:{real}\:\Rightarrow \\ $$$${n}^{\mathrm{2}} {x}−\frac{{n}^{\mathrm{6}} \:{x}^{\mathrm{3}} }{\mathrm{6}}\:\leqslant{sin}\left({n}^{\mathrm{2}}…
Question Number 130203 by mnjuly1970 last updated on 23/Jan/21 Answered by Dwaipayan Shikari last updated on 23/Jan/21 $${I}\left({a}\right)−{I}\left(\beta\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{{a}} }{\left(\mathrm{1}+{x}\right){logx}}−\frac{{x}^{\beta} }{\left(\mathrm{1}+{x}\right){log}\left({x}\right)}{dx} \\ $$$${I}'\left({a}\right)−{I}'\left(\beta\right)=\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 130200 by mnjuly1970 last updated on 23/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{cslculus}… \\ $$$$\:\:\:\:\:\:\:\:{find}\:::\:\:\:\:\:\:\mathscr{L}\:\left(\:{te}^{−{t}} {ln}\left({t}\right)\right)\:\underset{{transform}} {\overset{{laplace}} {=}}? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$ Answered by Dwaipayan Shikari…
Question Number 130198 by mnjuly1970 last updated on 23/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:….{nice}\:\:{calculus}… \\ $$$$\:\:\:\:{calculate}:: \\ $$$$\:\:\:\:\:\:\mathscr{L}\:\left[{e}^{−{t}} .\:\sqrt{{t}\:}\:\right]\:\underset{{transform}} {\overset{{Laplace}} {=}}\:?\:… \\ $$$$\:\:\: \\ $$ Answered by Dwaipayan Shikari…
Question Number 64662 by aliesam last updated on 20/Jul/19 $$\int\frac{{dx}}{\left({x}^{\mathrm{8}} +{x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$$$ \\ $$$$\int_{\frac{\mathrm{1}}{{x}}} ^{{x}} \frac{{ln}\left({t}\right)}{{t}^{\mathrm{2}} +\mathrm{1}}\:{dt} \\ $$ Commented by MJS…
Question Number 130197 by mohammad17 last updated on 23/Jan/21 $${find}\:{the}\:{outliers}\:{for}\:{the}\:{following}\:{function} \\ $$$$ \\ $$$$\left(\mathrm{1}\right){f}\left({z}\right)=\frac{{e}^{{z}} }{{z}^{\mathrm{2}} }\:\:\:\:\:\:,\:\:\:\left(\mathrm{2}\right){f}\left({z}\right)=\frac{{sinz}}{{z}} \\ $$$$ \\ $$$$\left(\mathrm{3}\right){f}\left({z}\right)=\frac{\mathrm{1}−{cosz}}{{sinz}^{\mathrm{2}} }\:\:\:\:,\left(\mathrm{4}\right){f}\left({z}\right)={ln}\mid{z}\mid \\ $$$$ \\ $$$$…
Question Number 130193 by mr W last updated on 23/Jan/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{words}\:\mathrm{with}\:\mathrm{at}\:\mathrm{least}\:\mathrm{2}\:\mathrm{letters} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{from}\:\boldsymbol{\mathrm{UNUSUALNESS}}? \\ $$ Answered by benjo_mathlover last updated on 23/Jan/21 $$\:\mathrm{U}=\mathrm{3},\:\mathrm{N}=\mathrm{2},\:\mathrm{S}=\mathrm{3},\left(\mathrm{A}=\mathrm{L}=\mathrm{E}=\mathrm{1}\right) \\ $$$$\:\mathrm{words}\::\:\mathrm{XX}\:=\:\begin{pmatrix}{\mathrm{3}}\\{\mathrm{1}}\end{pmatrix}\:=\:\mathrm{3}…