Question Number 210356 by hardmath last updated on 08/Aug/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 210355 by hardmath last updated on 08/Aug/24 Answered by Berbere last updated on 08/Aug/24 $${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +\gamma{ab}\overset{{AM}−{GM}} {\leqslant}\left(\frac{\gamma}{\mathrm{2}}+\mathrm{1}\right)\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right);\gamma>\mathrm{0} \\ $$$$\frac{{a}^{\mathrm{3}} +{b}^{\mathrm{3}}…
Question Number 210432 by hardmath last updated on 08/Aug/24 $$ \\ $$How many different five-digit numbers can be written from the digits 1,2,3,4,5,6,7,8 if the…
Question Number 210375 by Spillover last updated on 08/Aug/24 Commented by som(math1967) last updated on 08/Aug/24 $$\:\boldsymbol{{if}}\:\mathrm{sin}^{−\mathrm{1}} \boldsymbol{{x}}+\mathrm{sin}^{−\mathrm{1}} \boldsymbol{{y}}+\mathrm{sin}^{−\mathrm{1}} \boldsymbol{{z}}=\boldsymbol{\pi} \\ $$$${then}\:{x}^{\mathrm{4}} +{y}^{\mathrm{4}} +{z}^{\mathrm{4}} +\mathrm{4}\boldsymbol{{x}}^{\mathrm{2}}…
Question Number 210369 by peter frank last updated on 08/Aug/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 210368 by peter frank last updated on 08/Aug/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 210371 by Abdullahrussell last updated on 08/Aug/24 Answered by Spillover last updated on 08/Aug/24 $${use}\:{graphical}\:{method}\:{then}\:{find}\:{point}\:{of} \\ $$$${intersection} \\ $$$${let}\: \\ $$$${y}=^{{x}} \sqrt{\frac{\mathrm{2}}{{x}−\mathrm{1}}}\:\:\:\:\:\:\:\:\:\:\:\:{draw}\:{it}\:{graph} \\…
Question Number 210318 by peter frank last updated on 06/Aug/24 Commented by mr W last updated on 06/Aug/24 $${what}\:{should}\:{be}\:{reached}\:{with}\:{the} \\ $$$${single}\:{tube}\:{when}\:{it}\:{replaces}\:{the}\:{three} \\ $$$${ones}?\:{the}\:{same}\:{flow}\:{rate}\:{with}\:{the} \\ $$$${single}\:{tube}\:{as}\:{with}\:{the}\:{three}\:{tubes}?…
Question Number 210324 by Ghisom last updated on 06/Aug/24 $$\mathrm{rationalize}\:\mathrm{the}\:\mathrm{denominator}: \\ $$$$\frac{\mathrm{1}}{{a}+{b}^{\mathrm{1}/\mathrm{3}} +{c}^{\mathrm{1}/\mathrm{3}} } \\ $$ Commented by Spillover last updated on 06/Aug/24 $${ans}\: \\…
Question Number 210298 by Spillover last updated on 05/Aug/24 $${For}\:{the}\:{given}\:{system}\:{of}\:{simultaneous}\: \\ $$$${linear}\:{equation} \\ $$$$\mathrm{2}{x}_{\mathrm{1}} −\mathrm{2}{x}_{\mathrm{2}} +\mathrm{3}{x}_{\mathrm{3}} +\mathrm{4}{x}_{\mathrm{4}} −{x}_{\mathrm{5}} =\mathrm{0} \\ $$$$−{x}_{\mathrm{3}} −\mathrm{2}{x}_{\mathrm{4}} +\mathrm{3}{x}_{\mathrm{5}} =\mathrm{0} \\…