Question Number 4733 by Yozzii last updated on 02/Mar/16 Commented by Yozzii last updated on 02/Mar/16 $${How}\:{can}\:{you}\:{show}\:{that}\: \\ $$$$\left(\cup{S}\right)×\left(\cup{T}\right)\nsupseteq\cup\left\{{X}×{Y}\:\mid{X}\in{S},{Y}\in{T}\right\}? \\ $$ Commented by prakash jain…
Question Number 135800 by benjo_mathlover last updated on 16/Mar/21 Answered by Olaf last updated on 16/Mar/21 $$\mathrm{A}\begin{pmatrix}{−\mathrm{1}}\\{−\mathrm{1}}\\{−\mathrm{1}}\end{pmatrix}\:\mathrm{B}\begin{pmatrix}{\mathrm{1}}\\{\mathrm{1}}\\{\mathrm{1}}\end{pmatrix}\:\mathrm{C}\begin{pmatrix}{\mathrm{1}}\\{−\mathrm{1}}\\{−\mathrm{1}}\end{pmatrix}\:\mathrm{D}\begin{pmatrix}{−\mathrm{1}}\\{\mathrm{1}}\\{\mathrm{1}}\end{pmatrix} \\ $$$$\mathrm{AB}\:\mathrm{and}\:\mathrm{CD}\:\mathrm{are}\:\mathrm{two}\:\mathrm{diagonals} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{cube} \\ $$$$\overset{\rightarrow} {\mathrm{AB}}\:=\:\begin{pmatrix}{\mathrm{2}}\\{\mathrm{2}}\\{\mathrm{2}}\end{pmatrix}\:\overset{\rightarrow} {\mathrm{CD}}\:=\:\begin{pmatrix}{−\mathrm{2}}\\{\mathrm{2}}\\{\mathrm{2}}\end{pmatrix}…
Question Number 4730 by Rojaye Shegz last updated on 01/Mar/16 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{dx}}{{sinx}^{{cosx}\:} \:\:+\:\:\:\:{cosx}^{{sinx}\:} } \\ $$ Commented by prakash jain last updated on 01/Mar/16…
Question Number 4728 by 123456 last updated on 01/Mar/16 $$\mathrm{if}\:\mid{x}^{\mathrm{2}} −{c}\mid\leqslant\epsilon,\:{c}\in\mathbb{R},{c}\geqslant\mathrm{0} \\ $$$$\mathrm{does}? \\ $$$$\mid{x}−\sqrt{{c}}\mid\leqslant\epsilon \\ $$ Commented by Yozzii last updated on 01/Mar/16 $$\mid\left({x}−\sqrt{{c}}\right)\mid\mid{x}+\sqrt{{c}}\mid\leqslant\epsilon…
Question Number 135797 by benjo_mathlover last updated on 16/Mar/21 $$ \\ $$How do you solve f(3) when f(-1) = -1 and f(0) =1 and f(x)…
Question Number 70262 by mathmax by abdo last updated on 02/Oct/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({cosx}\right){dx}\:\:{and}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({sinx}\right){dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 135798 by ajfour last updated on 16/Mar/21 Commented by ajfour last updated on 16/Mar/21 $${When}\:{you}\:{can}\:{see}\:\mathrm{9}\:{of}\:{them}\:{in} \\ $$$${each}\:{row},\:{instead}\:{of}\:\mathrm{8}\:{in} \\ $$$${each}\:{row},\:{the}\:{image}\:{turns} \\ $$$${holographic}! \\ $$…
Question Number 4724 by 123456 last updated on 29/Feb/16 $$\mathrm{how}\:\mathrm{the}\:\mathrm{gravity}\:\mathrm{work}\:\mathrm{on}\:\mathrm{a}\:\mathbb{R}^{\mathrm{4}} \:\mathrm{universe}? \\ $$$$\mathrm{does}\:\mathrm{any}\:\mathbb{R}^{\mathrm{3}} \:\mathrm{people}\:\mathrm{will}\:\mathrm{be}\:\mathrm{atracted}\:\mathrm{by} \\ $$$$\mathrm{some}\:“\mathrm{ghost}''\:\mathrm{object}? \\ $$ Commented by Yozzii last updated on 29/Feb/16…
Question Number 4723 by Yozzii last updated on 29/Feb/16 $${Does}\:{time}\:{exist}? \\ $$ Commented by prakash jain last updated on 29/Feb/16 $$\mathrm{Background}? \\ $$ Commented by…
Question Number 135792 by benjo_mathlover last updated on 16/Mar/21 $${Find}\:{the}\:{minimum}\:{value} \\ $$$${of}\:\mid\mathrm{sin}\:{x}+\mathrm{cos}\:{x}+\mathrm{tan}\:{x}+\mathrm{cot}\:{x}+\mathrm{sec}\:{x}+\mathrm{csc}\:{x}\mid\: \\ $$$${for}\:{real}\:{numbers}\:{x}. \\ $$ Answered by MJS_new last updated on 16/Mar/21 $${x}={t}+\frac{\mathrm{5}\pi}{\mathrm{4}}\:\mathrm{leads}\:\mathrm{to} \\…