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Question Number 70270 by Shamim last updated on 02/Oct/19 $$\mathrm{If}\:\mathrm{log}_{\mathrm{x}} \mathrm{y}\:=\:\mathrm{6}\:\&\:\mathrm{log}_{\mathrm{14x}} \mathrm{8y}\:=\:\mathrm{3}\:\mathrm{then}\:\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{x}\:\&\:\mathrm{y}. \\ $$ Answered by Rio Michael last updated on 02/Oct/19 $${log}_{{x}}…
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Question Number 4733 by Yozzii last updated on 02/Mar/16 Commented by Yozzii last updated on 02/Mar/16 $${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} \\ $$$${each}\:{row},\:{instead}\:{of}\:\mathrm{8}\:{in} \\ $$$${each}\:{row},\:{the}\:{image}\:{turns} \\ $$$${holographic}! \\ $$…