Question Number 62037 by amingolkar20@gmail.com last updated on 14/Jun/19 $$\mathrm{3}{no}_{\mathrm{2}} +{h}_{\mathrm{2}} {o}\Rightarrow\mathrm{2}{hno}_{\mathrm{3}} +{no} \\ $$$$ \\ $$ Answered by aleks041103 last updated on 17/Jun/19 $${It}\:{is}\:{actually}:…
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Question Number 62016 by kiplangatryan89@gmail.com last updated on 14/Jun/19 $${the}\:\mathrm{2}\:{and}\:\mathrm{3}\:{term}\:{of}\:{GP}\:\:{is}\:\mathrm{24} \\ $$$${and}\:\mathrm{12}\left({x}+\mathrm{1}\right).{If}\:{the}\:{sum}\:{of}\:{the}\: \\ $$$${first}\:\mathrm{3}\:{terms}\:{is}\:\mathrm{76}.{Find}\:{the}\:{value} \\ $$$${of}\:{x} \\ $$ Commented by Tony Lin last updated on…
Question Number 193080 by Mastermind last updated on 03/Jun/23 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{for}\:\mathrm{a},\mathrm{b}\in\mathbb{R}, \\ $$$$\mid\mathrm{a}−\mathrm{b}\mid\geqslant\mid\mathrm{a}\mid−\mid\mathrm{b}\mid \\ $$$$ \\ $$$$\left(\mathrm{Hint}:\:\mathrm{write}\:\mathrm{a}=\left(\mathrm{a}−\mathrm{b}\right)+\mathrm{b}\right. \\ $$ Answered by Subhi last updated on 03/Jun/23…
Question Number 193079 by Mastermind last updated on 03/Jun/23 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{x}\in\mathbb{R}\:\mathrm{that}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{inequalities}: \\ $$$$\left.\mathrm{a}\right)\:\mid\mathrm{4x}−\mathrm{3}\mid\leqslant\mathrm{11} \\ $$$$\left.\mathrm{b}\right)\:\mid\mathrm{x}−\mathrm{2}\mid>\mid\mathrm{x}+\mathrm{1}\mid \\ $$$$\left.\mathrm{c}\right)\:\mid\mathrm{x}\mid\:+\:\mid\mathrm{x}+\mathrm{2}\mid\:+\:\mid\mathrm{2}−\mathrm{x}\mid\leqslant\mathrm{8} \\ $$ Commented by MM42 last updated…
Question Number 193078 by Mastermind last updated on 03/Jun/23 $$\left.\mathrm{1}\right)\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:\varepsilon>\mathrm{0}\:\mathrm{and}\:\mathrm{a},\mathrm{x}\in\mathbb{R},\:\mathrm{then} \\ $$$$\mid\mathrm{a}−\mathrm{x}\mid<\varepsilon\:\mathrm{iff}\:\mathrm{x}−\varepsilon<\mathrm{a}<\mathrm{x}+\varepsilon \\ $$$$ \\ $$$$\mathrm{help} \\ $$ Answered by Subhi last updated on 03/Jun/23…
Question Number 193073 by Tawa11 last updated on 03/Jun/23 Answered by Subhi last updated on 03/Jun/23 $$ \\ $$$${the}\:{system}\:{is}\:{in}\:{equalibrium} \\ $$$$\Sigma{f}\:=\:\mathrm{0}\:{at}\:{x},{y}\:{axis} \\ $$$${p}.{cos}\left(\mathrm{30}\right)+\mathrm{2}.{sin}\left(\mathrm{45}\right)−{Q}.{sin}\left(\mathrm{60}\right)=\mathrm{0} \\ $$$$\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}.{p}−\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}{Q}\:=\:−\sqrt{\mathrm{2}}…
Question Number 127492 by Dwaipayan Shikari last updated on 30/Dec/20 $$\frac{{i}!}{\pi!}\:\left({Exact}\:{form}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 192999 by Mastermind last updated on 01/Jun/23 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{following}\:\mathrm{functions} \\ $$$$\mathrm{are}\:\mathrm{continous}\:\mathrm{on}\:\mathrm{a}\:\mathrm{close}\:\mathrm{interval} \\ $$$$\left[\mathrm{0},\:\mathrm{1}\right]. \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\left\{_{\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{1}} ^{\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{2}}{\mathrm{x}−\mathrm{1}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}\neq\mathrm{1}} \right. \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$…
Question Number 61923 by naka3546 last updated on 12/Jun/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{x}^{\mathrm{3}} \:−\:\mathrm{12}{x}\:+\:\mathrm{8}\:=\:\:\mathrm{0} \\ $$ Answered by MJS last updated on 12/Jun/19 $${x}^{\mathrm{3}} +{px}+{q}=\mathrm{0} \\…