Question Number 18440 by tawa tawa last updated on 21/Jul/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 18439 by mondodotto@gmail.com last updated on 21/Jul/17 Commented by Tinkutara last updated on 21/Jul/17 $$\frac{\mathrm{47}}{\mathrm{60}} \\ $$ Commented by mondodotto@gmail.com last updated on…
Question Number 83975 by jagoll last updated on 08/Mar/20 $$\mathrm{find}\:\mathrm{solution} \\ $$$$\mathrm{8}\:\mathrm{tan}\:\mathrm{x}−\mathrm{8tan}\:^{\mathrm{5}} \mathrm{x}\:=\:\mathrm{sec}\:^{\mathrm{6}} \mathrm{x}\:\mathrm{in}\:\mathrm{x}\in\:\left(\mathrm{0},\:\frac{\pi}{\mathrm{2}}\right) \\ $$ Answered by TANMAY PANACEA last updated on 08/Mar/20 $$\mathrm{8}{a}−\mathrm{8}{a}^{\mathrm{5}}…
Question Number 149510 by Tawa11 last updated on 05/Aug/21 Commented by Ar Brandon last updated on 06/Aug/21 $$\mathrm{36}−\mathrm{4}×\frac{\mathrm{9}}{\mathrm{2}}=\mathrm{18cm}^{\mathrm{3}} \\ $$ Commented by Tawa11 last updated…
Question Number 149505 by mathdanisur last updated on 05/Aug/21 $$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\frac{\mathrm{n}\:+\:\mathrm{3}}{\mathrm{n}\:+\:\mathrm{1}}\right)^{\mathrm{n}} =\:? \\ $$ Commented by EDWIN88 last updated on 06/Aug/21 $$\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{n}+\mathrm{3}}{{n}+\mathrm{1}}\right)^{{n}} =\:{e}^{\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{n}+\mathrm{3}}{{n}+\mathrm{1}}−\mathrm{1}\right){n}}…
Question Number 18432 by Joel577 last updated on 21/Jul/17 $$\mathrm{Find}\:\mathrm{interval}\:{p}\:\mathrm{so} \\ $$$$\left({p}\:−\:\mathrm{2}\right){x}^{\mathrm{2}} \:+\:\mathrm{2}{px}\:+\:{p}\:−\:\mathrm{1}\:=\:\mathrm{0} \\ $$$$\mathrm{have}\:\mathrm{negative}\:\mathrm{roots} \\ $$ Answered by 433 last updated on 21/Jul/17 $$…
Question Number 83966 by Rio Michael last updated on 08/Mar/20 $$\mathrm{prove}\:\mathrm{that}\:\mathrm{for}\:\mathrm{any}\:\mathrm{complex}\:\mathrm{number}\:{z},\:\mathrm{if}\: \\ $$$$\:\mid{z}\mid\:<\:\mathrm{1},\:\mathrm{then}\:\mathrm{Re}\left({z}\:+\:\mathrm{1}\right)\:>\:\mathrm{0} \\ $$ Answered by mr W last updated on 08/Mar/20 $${let}\:{z}={a}+{bi} \\…
Question Number 18431 by aplus last updated on 21/Jul/17 $$\mathrm{x}^{\mathrm{2}} =\mathrm{16}^{\mathrm{x}} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Answered by mrW1 last updated on 21/Jul/17 $$\mathrm{x}=−\frac{\mathrm{2}}{\mathrm{ln}\:\mathrm{16}}×\mathrm{W}\left(\pm\frac{\mathrm{ln}\:\mathrm{16}}{\mathrm{2}}\right) \\ $$$$\mathrm{since}\:−\frac{\mathrm{ln}\:\mathrm{16}}{\mathrm{2}}<−\frac{\mathrm{1}}{\mathrm{e}}…
Question Number 18430 by aplus last updated on 21/Jul/17 $$\mathrm{x}^{\mathrm{2}} =\mathrm{3}^{\mathrm{x}} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Answered by mrW1 last updated on 21/Jul/17 $$\mathrm{x}=\pm\mathrm{3}^{\frac{\mathrm{x}}{\mathrm{2}}} \\ $$$$\mathrm{x}=\pm\mathrm{e}^{\frac{\mathrm{x}}{\mathrm{2}}\mathrm{ln}\:\mathrm{3}}…
Question Number 149503 by mathdanisur last updated on 05/Aug/21 $$\mathrm{Calcular}: \\ $$$$\mathrm{3sin}\centerdot\left(\mathrm{150}\:-\:\boldsymbol{\alpha}\right)\:-\:\mathrm{2cos}\centerdot\left(\mathrm{60}\:-\:\boldsymbol{\alpha}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Answered by MJS_new last updated on 05/Aug/21 $$\Leftrightarrow \\ $$$$\mathrm{3sin}\:\left(\alpha+\mathrm{30}\right)\:−\mathrm{2sin}\:\left(\alpha+\mathrm{30}\right)\:=\frac{\mathrm{1}}{\mathrm{2}} \\…