Question Number 194425 by cortano12 last updated on 06/Jul/23 $$\:\:\:\:\:\:\:\underbrace{ } \\ $$ Answered by horsebrand11 last updated on 06/Jul/23 $$\:\:\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\mathrm{sin}\:\mathrm{x}}\:\left(\mathrm{1}+\frac{\sqrt{\mathrm{sin}\:\mathrm{x}}}{\mathrm{cos}\:\mathrm{x}}\right)}{\:\sqrt{\mathrm{x}}\:\left(\mathrm{1}+\:\sqrt{\mathrm{x}}\:\right)}=\:\mathrm{1} \\ $$…
Question Number 194426 by Mingma last updated on 06/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 194421 by York12 last updated on 06/Jul/23 $$ \\ $$$${If}\:{a}\:,\:{b}\:,\:{c}\:>\mathrm{0}\:,\:{such}\:{that}\:{a}+{b}+{c}=\mathrm{3} \\ $$$${prove}\:{that} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}+{ab}}+\frac{\mathrm{1}}{\mathrm{1}+{ac}}+\frac{\mathrm{1}}{\mathrm{1}+{bc}}\geqslant\frac{\mathrm{9}}{\mathrm{2}\left(\sqrt{{a}}+\sqrt{{b}}+\sqrt{{c}}\right)} \\ $$ Commented by York12 last updated on 07/Jul/23…
Question Number 194436 by sonukgindia last updated on 06/Jul/23 Answered by Frix last updated on 06/Jul/23 $$\mathrm{3}\:?\:\sqrt{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{2}} \\ $$$$\mathrm{3}−\sqrt{\mathrm{3}}\:?\:\sqrt[{\mathrm{3}}]{\mathrm{2}} \\ $$$$\mathrm{54}−\mathrm{30}\sqrt{\mathrm{3}}\:?\:\mathrm{2} \\ $$$$\mathrm{52}\:?\:\mathrm{30}\sqrt{\mathrm{3}} \\ $$$$\frac{\mathrm{26}}{\mathrm{15}}\:?\:\sqrt{\mathrm{3}}…
Question Number 194422 by York12 last updated on 06/Jul/23 $${What}\:{books}\:{use}\:{for}\:{studying}\:{inequalities} \\ $$$${for}\:{beginners}\: \\ $$ Answered by ajfour last updated on 06/Jul/23 $${Elementary}\:{Mathematics} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:-\:{G}.\:{Dorofeev} \\…
Question Number 194434 by SANOGO last updated on 06/Jul/23 $${calcul} \\ $$$${e}^{\mathrm{2}{ln}\left(\mathrm{1}+{u}\right)\:} −{e}^{−\mathrm{2}{ln}\left(\mathrm{1}+{u}\right)} \:=? \\ $$ Answered by aba last updated on 06/Jul/23 $$\mathrm{e}^{\mathrm{2ln}\left(\mathrm{1}+\mathrm{u}\right)} −\mathrm{e}^{−\mathrm{2ln}\left(\mathrm{1}+\mathrm{u}\right)}…
Question Number 194363 by sonukgindia last updated on 05/Jul/23 Commented by Frix last updated on 05/Jul/23 $$\mathrm{There}'\mathrm{s}\:\mathrm{no}\:\mathrm{solution}. \\ $$$$\sqrt{{z}_{\mathrm{1}} +\sqrt{{z}_{\mathrm{2}} }}+\sqrt{{z}_{\mathrm{1}} −\sqrt{{z}_{\mathrm{2}} }}={r} \\ $$$$\mathrm{Solving}\:\mathrm{by}\:\mathrm{2}\:\mathrm{times}\:\left[\mathrm{squaring}\:\left(\mathrm{introduces}\right.\right.…
Question Number 194389 by mathlove last updated on 05/Jul/23 $$\sqrt{\sqrt{\mathrm{49}+\mathrm{20}\sqrt{\mathrm{6}}}}=? \\ $$ Answered by som(math1967) last updated on 05/Jul/23 $$\sqrt{\sqrt{\mathrm{5}^{\mathrm{2}} +\left(\mathrm{2}\sqrt{\mathrm{6}}\right)^{\mathrm{2}} +\mathrm{2}.\mathrm{5}.\mathrm{2}\sqrt{\mathrm{6}}}} \\ $$$$\sqrt{\sqrt{\left(\mathrm{5}+\mathrm{2}\sqrt{\mathrm{6}}\right)^{\mathrm{2}} }}…
Question Number 194388 by SaRahAli last updated on 05/Jul/23 $$\int\frac{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\mathrm{sin}\:{x}+\mathrm{4cos}\:{x}}{\mathrm{2}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} }\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 194359 by Tinku Tara last updated on 05/Jul/23 $${v}\mathrm{2}.\mathrm{282}\:\mathrm{has}\:\mathrm{been}\:\mathrm{published}.\:\mathrm{This} \\ $$$$\mathrm{update}\:\mathrm{fixes}\:\mathrm{issues}\:\mathrm{with}\:\mathrm{missed} \\ $$$$\mathrm{notifications}\:\mathrm{and}\:\mathrm{adds}\:\mathrm{an} \\ $$$$\mathrm{arbitarary}\:\mathrm{precision}\: \\ $$$$\mathrm{scientific}\:\mathrm{calculator}. \\ $$ Commented by som(math1967) last…