Question Number 51571 by Tawa1 last updated on 28/Dec/18 $$\mathrm{If}\:\:\:\alpha\:−\:\mathrm{j}\beta\:\:=\:\:\frac{\mathrm{1}}{\mathrm{a}\:−\:\mathrm{jb}}\:\:,\:\:\:\:\:\:\mathrm{where}\:\:\:\alpha,\:\beta,\:\mathrm{a},\:\mathrm{b}\:\:\mathrm{are}\:\mathrm{real},\:\mathrm{express}\:\:\mathrm{b}\:\:\mathrm{in}\:\mathrm{terms} \\ $$$$\mathrm{of}\:\:\alpha,\:\beta\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Answer}:\:\:\:\:\:\:\:\:\:\:\frac{−\:\beta}{\alpha^{\mathrm{2}} \:+\:\beta^{\mathrm{2}} \:−\:\mathrm{2}\alpha\:+\:\mathrm{1}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 28/Dec/18 $${a}−{ib}=\frac{\mathrm{1}}{\alpha−{i}\beta} \\…
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Question Number 182566 by Mastermind last updated on 11/Dec/22 $$\mathrm{Solve} \\ $$$$\left(\mathrm{x}^{\mathrm{2}} \:+\left(\:\mathrm{xy}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} \right)\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{y}^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 182534 by Mastermind last updated on 10/Dec/22 $$\mathrm{xy}\:+\:\left(\mathrm{xy}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} \:=\:\mathrm{y}^{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$ Commented by Frix last updated on 10/Dec/22…
Question Number 51448 by tanmay.chaudhury50@gmail.com last updated on 27/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 27/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 27/Dec/18 Commented by…
Question Number 116965 by Dwaipayan Shikari last updated on 08/Oct/20 $$\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{k}+\mathrm{1}} \:\frac{{sin}\left({k}\theta\right)}{{k}\theta} \\ $$ Answered by Bird last updated on 08/Oct/20 $${let}\:{g}\left({u}\right)\:=\sum_{{k}=\mathrm{1}} ^{\infty}…
Question Number 51420 by Tawa1 last updated on 26/Dec/18 $$\int\:\:\frac{\mathrm{e}^{\mathrm{3x}} }{\mathrm{1}\:+\:\mathrm{e}^{\mathrm{x}} }\:\mathrm{dx} \\ $$ Answered by ajfour last updated on 26/Dec/18 $${let}\:\:\mathrm{1}+{e}^{{x}} \:=\:{t}\:\:\:,\:\Rightarrow\:\:{e}^{{x}} {dx}\:=\:{dt} \\…
Question Number 51389 by Tawa1 last updated on 26/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 26/Dec/18 $${excellent}\:{problem}…{give}\:{time}\:{to}\:{find}\:{the}\:{way} \\ $$$${to}\:{reach}\:{goal}… \\ $$ Commented by Tawa1 last…
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