Question Number 153174 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 87637 by john santu last updated on 05/Apr/20 $$\sqrt[{\mathrm{4}\:\:}]{\mid\mathrm{x}−\mathrm{3}\mid^{\mathrm{x}+\mathrm{1}} }\:=\:\sqrt[{\mathrm{3}\:\:}]{\mid\mathrm{x}−\mathrm{3}\mid^{\mathrm{x}−\mathrm{2}} } \\ $$ Answered by TANMAY PANACEA. last updated on 05/Apr/20 $$\mid{x}−\mathrm{3}\mid^{\frac{{x}+\mathrm{1}}{\mathrm{4}}} =\mid{x}−\mathrm{3}\mid^{\frac{{x}−\mathrm{2}}{\mathrm{3}}}…
Question Number 153168 by liberty last updated on 05/Sep/21 Answered by EDWIN88 last updated on 05/Sep/21 $${let}\:{y}={u}^{\mathrm{2}} \:\&\:{x}={v}^{\mathrm{2}} \\ $$$$\left(\mathrm{1}\right)\sqrt{{v}^{\mathrm{2}} +{u}}\:+\sqrt{{v}^{\mathrm{2}} −{u}}\:=\:\mathrm{2} \\ $$$$\Rightarrow\mathrm{2}{v}^{\mathrm{2}} \:+\mathrm{2}\sqrt{{v}^{\mathrm{4}}…
Question Number 87630 by mr W last updated on 05/Apr/20 Commented by mr W last updated on 05/Apr/20 $${ajfour}\:{sir}\:{has}\:{put}\:{this}\:{question}: \\ $$$${find}\:{the}\:{radius}\:{r}\:{of}\:{the}\:{small}\:{circles} \\ $$$${in}\:{terms}\:{of}\:{the}\:{parameters}\:{a}\:{and}\:{b} \\ $$$${of}\:{the}\:{ellipse}\:\left({a}\geqslant{b}\right).…
Question Number 153164 by alisiao last updated on 05/Sep/21 $$\int_{−\mathrm{1}} ^{\:\mathrm{1}} \boldsymbol{{ln}}\left(\boldsymbol{\Gamma}\left(\boldsymbol{{x}}\right)\right)\:\boldsymbol{{dx}} \\ $$ Answered by Ar Brandon last updated on 05/Sep/21 $$\Omega=\int_{−\mathrm{1}} ^{\mathrm{1}} \mathrm{ln}\left(\Gamma\left({x}\right)\right){dx}=\underset{\Omega_{\mathrm{1}}…
Question Number 153161 by mathdanisur last updated on 05/Sep/21 $$\mathrm{If}\:\:\mathrm{P}\left(\mathrm{x}\right)=\mathrm{aX}^{\mathrm{3}} +\mathrm{bX}+{c}\:\in\:\mathrm{Q}\left[\mathrm{X}\right]\:\:;\:\:\left(\mathrm{a}\neq\mathrm{0}\right) \\ $$$$\mathrm{has}\:\mathrm{the}\:\mathrm{roots}\:\:\mathrm{x}_{\mathrm{1}} \:,\:\mathrm{x}_{\mathrm{2}} \:\:\mathrm{and}\:\:\mathrm{x}_{\mathrm{3}} \\ $$$$\mathrm{such}\:\mathrm{that}\:\:\mathrm{x}_{\mathrm{1}} \:=\:\mathrm{x}_{\mathrm{2}} \mathrm{x}_{\mathrm{3}} \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}\:\mathrm{x}_{\mathrm{1}} \:=\:\mathrm{0}\:\mathrm{if}\:\mathrm{and}\:\mathrm{only}\:\mathrm{if}\:\mathrm{b}=\mathrm{c} \\ $$ Answered…
Question Number 153160 by mathdanisur last updated on 05/Sep/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{set}: \\ $$$$\left\{\:\mathrm{x}\:\mid\:\mathrm{x}\:=\:\frac{\mathrm{b}\centerdot\left(\mathrm{a}\:+\:\mathrm{b}\right)}{\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} }\:\:;\:\:\mathrm{a}>\mathrm{0}\:,\:\mathrm{b}>\mathrm{0}\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 22090 by tawa tawa last updated on 10/Oct/17 Answered by Tikufly last updated on 11/Oct/17 $$\left(\mathrm{i}\right)\:\mathrm{3},\:\:\mathrm{15},\:\:\:\mathrm{75},\:\:\:\mathrm{375},……. \\ $$$$\left(\mathrm{ii}\right)\mathrm{3},\:\:\mathrm{15},\:\:\:\mathrm{27},\:\:\:\mathrm{39},……… \\ $$ Commented by tawa…
Question Number 87624 by john santu last updated on 05/Apr/20 $$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{w}\:+ \\ $$$$\mathrm{sec}\:^{\mathrm{2}} \mathrm{w}\: \\ $$ Commented by john santu last updated on 05/Apr/20…
Question Number 153162 by mathdanisur last updated on 05/Sep/21 $$\mathrm{Determine}\:\mathrm{all}\:\mathrm{the}\:\mathrm{derivable}\:\mathrm{functions} \\ $$$$\mathrm{f}:\mathbb{R}\rightarrow\mathbb{R}\:\:\mathrm{which}\:\mathrm{satisfy} \\ $$$$\frac{\mathrm{f}\left(\mathrm{x}^{\mathrm{3}} \right)\:-\:\mathrm{f}\left(\mathrm{0}\right)}{\mathrm{f}\left(\mathrm{x}\right)\:-\:\mathrm{f}\left(\mathrm{0}\right)}\:=\:\mathrm{x}^{\mathrm{2}} \:\:;\:\:\forall\mathrm{x}\neq\mathrm{0} \\ $$ Answered by aleks041103 last updated on 05/Sep/21…