Question Number 66421 by Rio Michael last updated on 14/Aug/19 $${show}\:{that}\:{for}\:{a}\:{given}\:{complex}\:{number}\:{z} \\ $$$$\:{z}^{{n}} \:=\:{r}^{{n}} \:\left({cosn}\theta\:+\:{isinn}\theta\right)\: \\ $$ Answered by MJS last updated on 14/Aug/19 $${z}={r}\left(\mathrm{cos}\:\theta\:+\mathrm{i}\:\mathrm{sin}\:\theta\right)={r}\mathrm{e}^{\mathrm{i}\theta}…
Question Number 131935 by Salman_Abir last updated on 09/Feb/21 Answered by physicstutes last updated on 10/Feb/21 $$\mathrm{2CH}_{\mathrm{3}} \mathrm{OH}\:+\:\mathrm{3O}_{\mathrm{2}} \:\rightarrow\mathrm{2}\:\mathrm{CO}_{\mathrm{2}} \:+\:\mathrm{4}\:\mathrm{H}_{\mathrm{2}} \mathrm{O} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{moles}\:\mathrm{of}\:\mathrm{CH}_{\mathrm{3}} \mathrm{OH}: \\…
Question Number 66399 by Rio Michael last updated on 14/Aug/19 $${Show}\:{that}\:{for}\:{all}\:{real} \\ $$$${values}\:{of}\:{x};\: \\ $$$$\:\:{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \:+\:\mathrm{6}{x}^{\frac{\mathrm{1}}{\mathrm{3}}} \:+\:\mathrm{10}\:>\mathrm{0} \\ $$ Commented by kaivan.ahmadi last updated on…
Question Number 826 by 123456 last updated on 18/Mar/15 $${x}^{\mathrm{2}} =\underset{{y}=\mathrm{1}} {\overset{{x}} {\sum}}\underset{{z}=\mathrm{0}} {\overset{{y}−\mathrm{1}} {\prod}}\left({y}−{z}\right) \\ $$$${find}\:{x}\in\mathbb{N}^{\ast} \:{such}\:{that}\:{equation}\:{is} \\ $$$${true} \\ $$ Commented by 123456…
Question Number 66356 by sandeepkeshari0797@gmail.com last updated on 13/Aug/19 Answered by $@ty@m123 last updated on 13/Aug/19 $${Let}\:{the}\:{number}=\mathrm{10}{x}+{y} \\ $$$${ATQ}, \\ $$$$\mathrm{9}\left(\mathrm{10}{x}+{y}\right)=\mathrm{2}\left(\mathrm{10}{y}+{x}\right) \\ $$$$\mathrm{90}{x}+\mathrm{9}{y}=\mathrm{20}{y}+\mathrm{2}{x} \\ $$$$\mathrm{88}{x}=\mathrm{11}{y}…
Question Number 131877 by Dwaipayan Shikari last updated on 09/Feb/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}\left({e}^{\mathrm{2}\pi{n}} −\mathrm{1}\right)} \\ $$ Commented by Dwaipayan Shikari last updated on 09/Feb/21 $${I}\:{have}\:{found}\:…
Question Number 800 by 123456 last updated on 15/Mar/15 $$\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{n}\centerdot\mathrm{cos}\left(\frac{{n}}{\pi^{{n}} }\right)}{\mathrm{1}+{n}^{\mathrm{2}} }\:{converge}\:{ou}\:{diverge}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 66293 by Rio Michael last updated on 12/Aug/19 $${What}\:{do}\:{we}\:{mean}\:{by}\:\: \\ $$$$\:\:\int_{−\infty} ^{+\infty} {f}\left({x}\right)\:{dx}? \\ $$ Commented by mathmax by abdo last updated on…
Question Number 66285 by Rio Michael last updated on 12/Aug/19 $${What}\:{is}\:{the}\:{difference}\:{between} \\ $$$$\:\:\underset{{x}\rightarrow\mathrm{2}^{−} } {{lim}}\:\:{and} \\ $$$$\underset{{x}\rightarrow\mathrm{2}^{+} } {{lim}} \\ $$ Answered by MJS last…
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…