Question Number 110865 by igb last updated on 31/Aug/20 $${Plotting}\:{of} \\ $$$${x}^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176399 by Matica last updated on 18/Sep/22 $$\:{a},{b},{c}\:\in\mathbb{R}_{+} ^{\ast} \:\:{prove}\:{that}\:{a}+{b}+{c}\geqslant\mathrm{3}\:^{\mathrm{3}} \sqrt{{abc}} \\ $$$$ \\ $$ Commented by Matica last updated on 18/Sep/22 $${Please}\:{prove}\:{that}\:{AM}\geqslant{GM}…
Question Number 110856 by mathdave last updated on 31/Aug/20 $${find}\:{x}\:{in}\: \\ $$$${x}^{\mathrm{2}} =\mathrm{5}^{{x}^{\mathrm{2}} } −\mathrm{19} \\ $$ Answered by mr W last updated on 31/Aug/20…
Question Number 110858 by mathdave last updated on 31/Aug/20 $${evaluate} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}\mathrm{ln}\left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx} \\ $$$$\int_{\mathrm{0}} ^{\infty} \sqrt{\mathrm{1}+{x}^{\mathrm{6}} }{dx}…
Question Number 110857 by mathdave last updated on 31/Aug/20 $${solve} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{sin}^{\mathrm{3}} {x}}{{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 176388 by Matica last updated on 18/Sep/22 $$\:{find}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}+{sinx}}{{x}−{sinx}} \\ $$ Commented by Matica last updated on 18/Sep/22 $$\:\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\frac{{x}+{sinx}}{{x}−{sinx}}\:\overset{?} {=}\:−\infty \\ $$…
Question Number 45314 by mondodotto@gmail.com last updated on 11/Oct/18 $$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{{x}} \\ $$$$\mathrm{10}^{\boldsymbol{{x}}} =\boldsymbol{{x}}^{\mathrm{50}} \\ $$ Answered by MrW3 last updated on 12/Oct/18 $$\mathrm{10}^{{x}} ={x}^{\mathrm{50}} \\…
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Question Number 176374 by mathocean1 last updated on 17/Sep/22 $${Show}\:: \\ $$$$\frac{\partial{X}}{\partial{Y}}\mid_{{Z}} \frac{\partial{Y}}{\partial{Z}}\mid_{{X}} \frac{\partial{X}}{\partial{Z}}\mid_{{Y}} =−\mathrm{1} \\ $$ Answered by aleks041103 last updated on 17/Sep/22 $${dX}=\frac{\partial{X}}{\partial{Y}}\:{dY}\:+\:\frac{\partial{X}}{\partial{Z}}\:{dZ}…
Question Number 45291 by naka3546 last updated on 11/Oct/18 $${How}\:\:{many}\:\:{possible}\:\:{triple}\:\:{of}\:\:\left({a},{b},{c}\right)\:\:\in\:\:{integers}\:\:{so}\:\:{that}\:\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mid\:{a}\:+\:{b}\:\mid\:+\:{c}\:\:=\:\:\mathrm{19} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{ab}\:+\:\mid\:{c}\:\mid\:\:=\:\:\mathrm{97} \\ $$ Answered by MJS last updated on 12/Oct/18 $${c}=\mathrm{19}−\mid{a}+{b}\mid \\…