Question Number 127739 by Algoritm last updated on 01/Jan/21 Commented by Ndala last updated on 01/Jan/21 $${y},{z}\in\mathbb{N} \\ $$$$\mathrm{7}^{{z}} >\mathrm{0}\Leftrightarrow\mathrm{2}^{{y}} −{y}^{\mathrm{6}} >\mathrm{0}\Leftrightarrow\mathrm{0}\leqslant{y}\leqslant\mathrm{1} \\ $$$${f}\left({y}\right)=\mathrm{2}^{{y}} −{y}^{\mathrm{6}}…
Question Number 127698 by MathSh last updated on 01/Jan/21 $$−\mathrm{1}!+\mathrm{2}!−\mathrm{3}!−\mathrm{5}!+\mathrm{6}!−\mathrm{4}!!+\mathrm{7}!!+\mathrm{8}!!+\mathrm{9}!!=\mathrm{2021} \\ $$$${Happy}\:{New}\:{Year}! \\ $$ Commented by talminator2856791 last updated on 04/Jan/21 $$\:\mathrm{are}\:\mathrm{you}\:\mathrm{sure}\:\mathrm{this}\:\mathrm{is}\:\mathrm{true}? \\ $$$$\:\mathrm{9}!!\:\mathrm{seems}\:\mathrm{much}\:\mathrm{larger}\:\mathrm{than}\:\mathrm{any}\:\mathrm{of}\:\mathrm{the}\:\mathrm{other}\:\mathrm{numbers}. \\…
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Question Number 127652 by faysal last updated on 31/Dec/20 $${determine}\:{the}\:{coordinate}\:{of}\:{a}\:{point}\:{which}\:{is}\:{on}\:{the} \\ $$$$\mathrm{3}{x}−\mathrm{4}{y}+\mathrm{12}=\mathrm{0}\:{and}\:{the}\:{distance}\:{of}\:{the}\:{point}\:{from}\:\left(\mathrm{0},\mathrm{0}\right) \\ $$$${is}\:\mathrm{10}\:{unit} \\ $$ Answered by liberty last updated on 31/Dec/20 $$\:\mathrm{let}\:\mathrm{the}\:\mathrm{point}\:\mathrm{A}\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{and}\:\mathrm{distance}\:=\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}}…
Question Number 127653 by faysal last updated on 31/Dec/20 $${A}\left(\mathrm{1},\mathrm{1}\right),\:{B}\left(\mathrm{3},\mathrm{4}\right),\:{C}\left(\mathrm{5},−\mathrm{2}\right) \\ $$$${on}\:{the}\:{paralel}\:{line}\:{of}\:{AB}\:,\:{what}\:{is}\:{the} \\ $$$${distance}\:{of}\:{AC}\:{from}\:\left(\mathrm{4},\mathrm{4}\right)\:{point} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 127633 by naka3546 last updated on 31/Dec/20 Commented by naka3546 last updated on 31/Dec/20 $${ABC}\:\:{is}\:\:{an}\:\:{equilateral}\:\:{triangle}\:. \\ $$$${Find}\:\:{area}\:\:{of}\:\:{ABC}\:! \\ $$ Commented by mr W…
Question Number 62093 by naka3546 last updated on 15/Jun/19 $$\int\:\:\frac{{dx}}{\mathrm{sin}^{\mathrm{3}} \:{x}\:+\:\mathrm{cos}^{\mathrm{3}} \:{x}}\:\:=\:\:{p} \\ $$ Commented by MJS last updated on 15/Jun/19 $$\mathrm{Weierstrass}\:\mathrm{Substitution} \\ $$$$\int\frac{{dx}}{\mathrm{sin}^{\mathrm{3}} \:{x}\:+\mathrm{cos}^{\mathrm{3}}…
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Question Number 62077 by naka3546 last updated on 15/Jun/19 $$\underset{\:\:\mathrm{1}} {\overset{\:\:\:\:\:\:\:\:\:\:\:\:\infty} {\int}}\:\left(\frac{\mathrm{ln}\:{x}}{{x}}\right)^{\mathrm{2018}} \:{dx}\:\:=\:\:? \\ $$$${Any}\:\:{trick}\left({s}\right)\:\:{to}\:\:{solve}\:\:{it}\:? \\ $$ Answered by Smail last updated on 15/Jun/19 $${I}_{{n}}…
Question Number 62067 by naka3546 last updated on 15/Jun/19 $$\underset{{x}\:\rightarrow\:−\mathrm{1}} {\mathrm{lim}}\:\:\frac{{x}^{\mathrm{3}} \:+\:\mathrm{2}{x}^{\mathrm{2}} \:−\:\mathrm{1}}{\left({x}\:+\:\mathrm{1}\right)^{\mathrm{2}} }\:\:=\:\:? \\ $$ Commented by gunawan last updated on 15/Jun/19 $$\underset{{x}\rightarrow−\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{3}{x}^{\mathrm{2}}…