Menu Close

Author: Tinku Tara

if-x-y-z-gt-0-prove-that-x-z-2-e-z-x-2-y-x-2-e-x-y-2-z-y-2-e-y-z-2-3e-

Question Number 143410 by mathdanisur last updated on 14/Jun/21 $${if}\:\:{x};{y};{z}>\mathrm{0}\:\:{prove}\:{that}… \\ $$$$\left(\frac{{x}}{{z}}\right)^{\mathrm{2}} \boldsymbol{{e}}^{\left(\frac{{z}}{{x}}\right)^{\mathrm{2}} } +\:\left(\frac{{y}}{{x}}\right)^{\mathrm{2}} \boldsymbol{{e}}^{\left(\frac{{x}}{{y}}\right)^{\mathrm{2}} } +\:\left(\frac{{z}}{{y}}\right)^{\mathrm{2}} \:\boldsymbol{{e}}^{\left(\frac{{y}}{{z}}\right)^{\mathrm{2}} } \geqslant\:\mathrm{3}\boldsymbol{{e}} \\ $$ Commented by…

Question-12331

Question Number 12331 by tawa last updated on 19/Apr/17 Answered by mrW1 last updated on 19/Apr/17 $${m}\frac{{v}^{\mathrm{2}} }{{r}}\leqslant\mu{mg} \\ $$$$\mu\geqslant\frac{{v}^{\mathrm{2}} }{{rg}}=\frac{\mathrm{5}^{\mathrm{2}} }{\mathrm{8}×\mathrm{9}.\mathrm{81}}=\mathrm{0}.\mathrm{32} \\ $$ Commented…

if-it-s-correct-solve-plz-lim-x-0-x-x-1-xlnx-

Question Number 12328 by Mr Chheang Chantria last updated on 19/Apr/17 $$\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{it}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{correct}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{plz}} \\ $$$$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\boldsymbol{\mathrm{lim}}}\frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{x}}} −\mathrm{1}}{\boldsymbol{\mathrm{xlnx}}} \\ $$ Answered by mrW1 last updated on 19/Apr/17…