Question Number 73473 by mathmax by abdo last updated on 13/Nov/19 $${let}\:{z}\:{from}\:{C}\:{prove}\:{that}\: \\ $$$${arcsinz}=−{iln}\left({iz}+\sqrt{\mathrm{1}−{z}^{\mathrm{2}} }\right) \\ $$$${arccosz}\:=−{iln}\left({z}+\sqrt{{z}^{\mathrm{2}} −\mathrm{1}}\right) \\ $$ Commented by mathmax by abdo…
Question Number 73411 by mathmax by abdo last updated on 11/Nov/19 $${calculate}\:\: \\ $$$$\left.\mathrm{1}\right){cos}\left(\mathrm{1}+{i}\right)\:,\:{sin}\left(\mathrm{1}+\mathrm{3}{i}\right) \\ $$$$\left.\mathrm{2}\right)\:{arctan}\left({i}\right),\:{arctan}\left(\mathrm{2}{i}\right)\:,\:{arctan}\left(\mathrm{1}+{i}\right)\:,{arctan}\left(\mathrm{1}−{i}\right)\:, \\ $$$${arctan}\left(\mathrm{1}+\mathrm{2}{i}\right). \\ $$$$\left.\mathrm{3}\right)\:{have}\:{us}\:\:{conj}\left({arctanz}\right)={arctan}\left(\overset{−} {{z}}\right)? \\ $$ Commented by…
Question Number 73396 by mathmax by abdo last updated on 11/Nov/19 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{e}^{−{t}^{\mathrm{2}} } {ln}\left(\mathrm{1}−{t}\right){dt} \\ $$ Commented by mathmax by abdo last updated…
Question Number 7833 by mohitkumar88@gmail.com last updated on 18/Sep/16 $$\mathrm{3}\frac{\mathrm{3}}{\mathrm{4}}×\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}= \\ $$ Answered by Rasheed Soomro last updated on 18/Sep/16 $$\mathrm{3}\frac{\mathrm{3}}{\mathrm{4}}×\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}=\frac{\overset{\mathrm{5}} {\mathrm{15}}}{\underset{\mathrm{1}} {\mathrm{4}}}×\frac{\overset{\mathrm{2}} {\mathrm{8}}}{\underset{\mathrm{1}} {\mathrm{3}}}=\frac{\mathrm{10}}{\mathrm{1}}=\mathrm{10}…
Question Number 73334 by mathmax by abdo last updated on 10/Nov/19 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:{n}^{\mathrm{2}} \left(\:{e}^{{sin}\left(\frac{\pi}{{n}^{\mathrm{2}} }\right)} −{cos}\left(\frac{\pi}{{n}}\right)\right) \\ $$ Answered by Smail last updated on 10/Nov/19…
Question Number 73332 by mathmax by abdo last updated on 10/Nov/19 $${let}\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{\mathrm{2}{k}+\mathrm{1}}}\:\:{determine}\:{a}\:{equivalent}\:{of}\:{n}\:{when}\:{n}\rightarrow+\infty \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73327 by mathmax by abdo last updated on 10/Nov/19 $${let}\:{w}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{lnt}}{\left({x}^{\mathrm{2}} \:+{t}^{\mathrm{2}} \right)^{\mathrm{2}} }{dt} \\ $$$$\left.\mathrm{1}\right)\:{explicit}\:{w}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{lnt}}{\left({n}^{\mathrm{2}} \:+{t}^{\mathrm{2}}…
Question Number 138829 by 676597498 last updated on 18/Apr/21 Answered by physicstutes last updated on 19/Apr/21 $${T}:\:{z}\rightarrow\omega\:\Rightarrow\:\omega\:=\:\mathrm{3}{z}\:+\:\mathrm{2}−\mathrm{5}{i} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{This}\:\mathrm{transformation}\:\mathrm{is}\:\mathrm{an}\:\mathrm{enlargment}\:\mathrm{of}\:\mathrm{scale}\:\mathrm{factor}\:\mathrm{3}\:\mathrm{followed}\:\mathrm{by}\: \\ $$$$\mathrm{a}\:\mathrm{translation}\:\mathrm{of}\:\left(\mathrm{2},−\mathrm{5}\right). \\ $$$$\left(\mathrm{b}\right)\:\mathrm{For}\:\mathrm{invariant}\:\mathrm{point},\:{f}\left({z}\right)={z} \\ $$$$\Rightarrow\:\:\:{z}\:=\:\mathrm{3}{z}+\:\mathrm{2}−\mathrm{5}{i}\:\:\Rightarrow\:{z}\:=\:−\mathrm{1}+\:\frac{\mathrm{5}}{\mathrm{2}}{i}…
Question Number 7752 by Tawakalitu. last updated on 14/Sep/16 $${If}\:{f}\left({x}\right)\:=\:{x}\:+\:{ax}^{\mathrm{2}} \:+\:{bx}^{\mathrm{3}} \:+\:…\:\:\:\:\:\:.{obtain}\:\sqrt{{f}\left({x}^{\mathrm{3}} \right)} \\ $$$${up}\:{to}\:{x}^{\mathrm{3}} \\ $$ Commented by FilupSmith last updated on 14/Sep/16 $${f}\left({x}\right)={x}^{\mathrm{1}}…
Question Number 73261 by mathmax by abdo last updated on 09/Nov/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \left({n}^{\mathrm{4}} +\mathrm{2}{n}^{\mathrm{2}} −\mathrm{3}\right)\frac{{x}^{{n}} }{{n}!}\:{in}\:{case}\:{of}\:{convergence}. \\ $$ Commented by mathmax by abdo last…