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if-U-x-y-2x-x-3-3xy-2-construct-a-complex-analytical-function-the-expression-of-which-is-the-true-part-

Question Number 130102 by mohammad17 last updated on 22/Jan/21 $${if}\:{U}\left({x},{y}\right)=\mathrm{2}{x}−{x}^{\mathrm{3}} +\mathrm{3}{xy}^{\mathrm{2}} \:{construct}\:{a}\:{complex}\: \\ $$$${analytical}\:{function},\:{the}\:{expression} \\ $$$${of}\:{which}\:{is}\:{the}\:{true}\:{part}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

find-the-key-value-Arg-z-for-2-i-1-i-

Question Number 130104 by mohammad17 last updated on 22/Jan/21 $${find}\:{the}\:{key}\:{value}\:\left[{Arg}\left({z}\right)\right]{for}\:\left(\mathrm{2}+{i}\right)^{\mathrm{1}−{i}} \\ $$ Answered by Olaf last updated on 22/Jan/21 $${z}\:=\:\left(\mathrm{2}+{i}\right)^{\mathrm{1}−{i}} \\ $$$$\mathrm{Z}\:=\:\mathrm{ln}{z}\:=\:\left(\mathrm{1}−{i}\right)\mathrm{ln}\left(\mathrm{2}+{i}\right) \\ $$$$\mathrm{Z}\:=\:\left(\mathrm{1}−{i}\right)\mathrm{ln}\left(\sqrt{\mathrm{5}}{e}^{{i}\mathrm{arctan}\frac{\mathrm{1}}{\mathrm{2}}} \right)…

Find-all-solutions-of-x-real-numbers-such-that-2x-2-7x-6-15-1-x-x-

Question Number 64533 by naka3546 last updated on 19/Jul/19 $${Find}\:\:{all}\:\:{solutions}\:\:{of}\:\:{x}\:\:{real}\:\:{numbers}\:\:{such}\:\:{that} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} \:−\:\mathrm{7}{x}\:+\:\mathrm{6}\:\:=\:\:\mathrm{15}\:\lfloor\frac{\mathrm{1}}{{x}}\rfloor\lfloor{x}\rfloor \\ $$ Answered by MJS last updated on 19/Jul/19 $${x}=\mathrm{0}\:\Rightarrow\:\lfloor\frac{\mathrm{1}}{{x}}\rfloor\:\mathrm{not}\:\mathrm{defined} \\ $$$$…

what-is-fractional-derivative-

Question Number 129998 by Eric002 last updated on 21/Jan/21 $${what}\:{is}\:{fractional}\:{derivative}? \\ $$ Answered by Olaf last updated on 21/Jan/21 $$\mathrm{Generalization}\:\mathrm{of}\:\mathrm{the}\:\mathrm{derivative} \\ $$$$\mathrm{for}\:\alpha\:\in\mathbb{R}\::\:{D}^{\alpha} {f}\:=\:{f}^{\left(\alpha\right)} \left({x}\right) \\…

prove-that-cos-n-sin-n-n-converge-sequence-

Question Number 129997 by mohammad17 last updated on 21/Jan/21 $${prove}\:{that}\:\left[\left({cos}\left({n}\right)+{sin}\left({n}\right)\right)/{n}\right]\:{converge}\:{sequence} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{cosn}+{sinn}}{{n}}=\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{e}^{{in}}…