Question Number 733 by 123456 last updated on 05/Mar/15 $$\mid\mid\mid\mid\mid\mid\mid{x}^{\mathrm{2}} −{x}−\mathrm{1}\mid−\mathrm{3}\mid−\mathrm{5}\mid−\mathrm{7}\mid−\mathrm{9}\mid−\mathrm{11}\mid−\mathrm{13}\mid \\ $$$$={x}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{48} \\ $$$${find}\:{all}\:{x}\:{real}\:{that}\:{is}\:{solution}\:{of}\:{above} \\ $$$${equation} \\ $$ Answered by prakash jain last…
Question Number 66267 by peter frank last updated on 12/Aug/19 Commented by peter frank last updated on 12/Aug/19 $${please}\:{help} \\ $$ Terms of Service Privacy…
Question Number 730 by 123456 last updated on 04/Mar/15 $$\mathrm{sin}\:{t}={i}\frac{{di}}{{dt}} \\ $$$${i}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${i}\left({t}\right)=? \\ $$ Commented by malwaan last updated on 05/Mar/15 $$−{cos}\:{t}=\frac{{i}^{\mathrm{2}} }{\mathrm{2}}+{C}\:…
Question Number 66264 by mathmax by abdo last updated on 12/Aug/19 $${for}\:{x}>\mathrm{0}\:{what}\:{is}\:{the}\:{relation}\:{between}\:\Gamma\left({x}\right)\:{and}\:\Gamma\left(\frac{\mathrm{1}}{{x}}\right)? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 66262 by peter frank last updated on 11/Aug/19 $$\boldsymbol{{show}}\:\boldsymbol{{that}}\: \\ $$$$\:^{\boldsymbol{{n}}} \boldsymbol{{c}}_{\boldsymbol{{r}}+\mathrm{1}} +^{\boldsymbol{{n}}} \boldsymbol{{c}}_{\boldsymbol{{r}}\:\:} =^{\boldsymbol{{n}}+\mathrm{1}} \boldsymbol{{c}}_{\boldsymbol{{r}}+\mathrm{1}} \\ $$ Commented by mathmax by abdo…
Question Number 66263 by peter frank last updated on 12/Aug/19 Commented by peter frank last updated on 12/Aug/19 $${please}\:{help} \\ $$ Terms of Service Privacy…
Question Number 722 by malwaan1 last updated on 04/Mar/15 $${solve}\:{the}\:{equation}\:{cos}^{\mathrm{2001}} {x}−{sin}^{\mathrm{2001}} =\mathrm{1} \\ $$$$ \\ $$ Commented by malwaan last updated on 04/Mar/15 $${what}\:{about}\:{cos}^{{n}} {x}−{sin}^{{n}}…
Question Number 131795 by Dwaipayan Shikari last updated on 08/Feb/21 $$\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{10}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{17}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{26}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{37}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{50}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{65}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{82}^{\mathrm{3}} }+\frac{\mathrm{1}}{\mathrm{101}^{\mathrm{3}} }+… \\ $$ Answered…
Question Number 66256 by Mikael last updated on 11/Aug/19 $${Find}\:{all}\:{points}\:\left({a},\:{b}\right)\:{of}\:\mathbb{R}^{\mathrm{2}} \:{such}\:{that}\: \\ $$$${through}\:\left({a},\:{b}\right)\:{pass}\:{two}\:{tangent}\:{lines} \\ $$$${to}\:{the}\:{graph}\:{of}\:{f}\left({x}\right)={x}^{\mathrm{2}} . \\ $$ Commented by kaivan.ahmadi last updated on 11/Aug/19…
Question Number 131789 by bemath last updated on 08/Feb/21 $$\mathrm{Let}\:\varphi\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{4}} +\mathrm{3}\left(\mathrm{a}^{\mathrm{2}} −\sqrt{\mathrm{a}^{\mathrm{4}} +\mathrm{x}^{\mathrm{4}} }\:\right)}{\mathrm{x}^{\mathrm{8}} }\:;\:\mathrm{a}>\mathrm{0} \\ $$$$\mathrm{If}\:\varphi\:\mathrm{is}\:\mathrm{finite}\:\mathrm{then}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{a}=\frac{\mathrm{3}}{\mathrm{2}}\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{a}=\sqrt{\frac{\mathrm{3}}{\mathrm{2}}}\:\:\:\:\:\:\left(\mathrm{c}\right)\:\varphi=\frac{\mathrm{1}}{\mathrm{3}}\:\:\:\:\left(\mathrm{d}\right)\:\varphi=\frac{\mathrm{1}}{\mathrm{9}} \\ $$ Answered by Dwaipayan…