Question Number 7775 by sandy_suhendra last updated on 14/Sep/16 Commented by sou1618 last updated on 15/Sep/16 $${x}=\mathrm{4}−\sqrt{\mathrm{3}} \\ $$$${x}^{\mathrm{4}} −\mathrm{6}{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{18}{x}+\mathrm{23}=? \\ $$$$ \\…
Question Number 73308 by wo1lxjwjdb last updated on 10/Nov/19 $${what}\:{are}\:{the}\:{solutions} \\ $$$${of}\:\sqrt{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}}={n}\:{where}\:{n}\in\mathbb{N} \\ $$ Commented by MJS last updated on 10/Nov/19 $${n}_{{k}} =\frac{\mathrm{1}}{\mathrm{2}}\left(\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{{k}} +\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{{k}}…
Question Number 7771 by FilupSmith last updated on 14/Sep/16 $$\mathrm{Show}\:\mathrm{that}: \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}}{\left({n}+\mathrm{2}\right)!}=\mathrm{3}−{e} \\ $$ Commented by FilupSmith last updated on 14/Sep/16 $$\mathrm{Amazing}! \\…
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Question Number 138842 by peter frank last updated on 18/Apr/21 $${Find}\:{the}\:{sum}\:{to}\:{infinity} \\ $$$$\mathrm{1}+\frac{\mathrm{3}{x}}{\mathrm{1}!}+\frac{\mathrm{5}{x}^{\mathrm{2}} }{\mathrm{2}!}+\frac{\mathrm{7}{x}^{\mathrm{3}} }{\mathrm{3}!}+.. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7766 by 314159 last updated on 14/Sep/16 Commented by sou1618 last updated on 14/Sep/16 $${f}\left({xy}\right)={f}\left({x}\right)+{f}\left({y}\right) \\ $$$${f}\left({e}^{\mathrm{2}} \right)=−\mathrm{8}\:\:\:\:\:\:\:\left({Q}\mathrm{7771}\right) \\ $$$$ \\ $$$${f}''\left(\mathrm{2}\right)=?? \\…
Question Number 138835 by mathdanisur last updated on 18/Apr/21 $${x}^{\mathrm{3}} −\mathrm{9}{x}+\mathrm{1}=\mathrm{0} \\ $$ Commented by mr W last updated on 18/Apr/21 $${x}_{{k}} =\mathrm{2}\sqrt{\mathrm{3}}\mathrm{sin}\:\left(\frac{\mathrm{1}}{\mathrm{3}}\mathrm{sin}^{−\mathrm{1}} \frac{\sqrt{\mathrm{3}}}{\:\mathrm{18}}+\frac{\mathrm{2}{k}\pi}{\mathrm{3}}\right)\:\:\:{k}=\mathrm{0},\mathrm{1},\mathrm{2} \\…
Question Number 73297 by mr W last updated on 10/Nov/19 Commented by mr W last updated on 10/Nov/19 $${a}\:{block}\:{of}\:{mass}\:{m}\:{is}\:{released}\:{at}\:{the} \\ $$$${top}\:{of}\:{a}\:{hemisphere}. \\ $$$${find}\:{the}\:{time}\:{for}\:{the}\:{block}\:{to}\:{hit}\:{the} \\ $$$${ground}\:{and}\:{the}\:{position}\:{of}\:{the}\:{hit}.…
Question Number 138829 by 676597498 last updated on 18/Apr/21 Answered by physicstutes last updated on 19/Apr/21 $${T}:\:{z}\rightarrow\omega\:\Rightarrow\:\omega\:=\:\mathrm{3}{z}\:+\:\mathrm{2}−\mathrm{5}{i} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{This}\:\mathrm{transformation}\:\mathrm{is}\:\mathrm{an}\:\mathrm{enlargment}\:\mathrm{of}\:\mathrm{scale}\:\mathrm{factor}\:\mathrm{3}\:\mathrm{followed}\:\mathrm{by}\: \\ $$$$\mathrm{a}\:\mathrm{translation}\:\mathrm{of}\:\left(\mathrm{2},−\mathrm{5}\right). \\ $$$$\left(\mathrm{b}\right)\:\mathrm{For}\:\mathrm{invariant}\:\mathrm{point},\:{f}\left({z}\right)={z} \\ $$$$\Rightarrow\:\:\:{z}\:=\:\mathrm{3}{z}+\:\mathrm{2}−\mathrm{5}{i}\:\:\Rightarrow\:{z}\:=\:−\mathrm{1}+\:\frac{\mathrm{5}}{\mathrm{2}}{i}…
Question Number 138828 by BHOOPENDRA last updated on 18/Apr/21 Answered by Dwaipayan Shikari last updated on 22/Apr/21 $$\Psi={Asin}\frac{\pi{x}}{{l}} \\ $$$$\int_{\mathrm{0}} ^{{l}} \mid\Psi\mid^{\mathrm{2}} {dx}=\mathrm{1}\Rightarrow\int_{\mathrm{0}} ^{{l}} {A}^{\mathrm{2}}…