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Question Number 5100 by LMTV last updated on 12/Apr/16 $$\int\frac{{dy}}{\mathrm{1}+{y}^{\mathrm{2}} }=\mathrm{tan}^{−\mathrm{1}} {y}+{c} \\ $$$$\mathrm{why}??\:\mathrm{and} \\ $$$$\int\frac{{dy}}{\mathrm{1}−{y}^{\mathrm{2}} }=? \\ $$ Answered by Yozzii last updated on…
Question Number 5097 by LMTV last updated on 12/Apr/16 $${x}^{\mathrm{2}} {y}'={x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} \\ $$$${yy}'+\mathrm{sin}\:{x}=\mathrm{0} \\ $$$${y}'=\mathrm{1}−{y}^{\mathrm{2}} \\ $$$$\mathrm{separation}\:\mathrm{of}\:\mathrm{variables} \\ $$ Answered by Yozzii last updated…
Question Number 136170 by mnjuly1970 last updated on 19/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…..{nice}\:\:{calculus}…. \\ $$$$\:\:\:{compute}:: \\ $$$$\mathrm{2}{li}_{\mathrm{2}} \left(\frac{−\mathrm{1}}{\mathrm{2}}\right)−\mathrm{2}{li}_{\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{2}}\right)+{li}_{\mathrm{2}} \left(\frac{\mathrm{3}}{\mathrm{4}}\right)=?? \\ $$$$ \\ $$ Answered by mindispower last…
Question Number 136165 by bramlexs22 last updated on 19/Mar/21 $${Find}\:{the}\:{equation}\:{of}\:{ellipse}\:{with} \\ $$$${F}_{\mathrm{1}} \left(\mathrm{1},\mathrm{2}\right)\:,\:{F}_{\mathrm{2}} \left(\mathrm{3},\mathrm{4}\right)\:{and}\:\mathrm{2}{a}\:=\:\mathrm{2}\sqrt{\mathrm{3}} \\ $$ Commented by bramlexs22 last updated on 19/Mar/21 $${Dear}\:{Mr}\:{W}\:{can}\:{you}\:{help}\:{me} \\…
Question Number 136167 by ZiYangLee last updated on 19/Mar/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{value}\:\mathrm{for}\:\mathrm{the}\:\mathrm{5}^{\mathrm{th}} \\ $$$$\mathrm{root}\:\mathrm{of}\:\mathrm{a}\:\mathrm{complex}\:\mathrm{number}\:\mathrm{is}\:−\mathrm{1}+{i}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{another}\:\mathrm{four}\:\mathrm{values}. \\ $$ Answered by mr W last updated on 19/Mar/21 $${one}\:\mathrm{5}^{{th}}…
Question Number 136161 by nimnim last updated on 19/Mar/21 $${How}\:{do}\:{I}\:{find}\:{the}\:{sum}\:{of} \\ $$$$\:\:\mathrm{1}+\mathrm{3}{x}+\mathrm{6}{x}^{\mathrm{2}} +\mathrm{10}{x}^{\mathrm{3}} +\mathrm{15}{x}^{\mathrm{4}} +…….\infty,\:\:{where}\:−\mathrm{1}<{x}<\mathrm{1}\:? \\ $$$$\:\:{Please}\:{Help}.. \\ $$ Answered by bramlexs22 last updated on…
Question Number 5091 by FilupSmith last updated on 11/Apr/16 $$\mathrm{Part}\:\mathrm{1} \\ $$$${S}=\mathrm{ln}\left({a}+{bi}\right),\:\:\:\:\:\:{a},\:{b}\in\mathbb{R} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\mathrm{is}\:{S}\in\mathbb{C}?\:\:\:\:\:\:\:\left({b}\neq\mathrm{0}\right) \\ $$$$ \\ $$$$\mathrm{Part}\:\mathrm{2} \\ $$$${t}=\mathrm{ln}\left(\mathrm{ln}\left(…\left(\mathrm{ln}\left({k}\right)\right)\right)\right),\:\:\:\:{k}\in\mathbb{R},\:{k}>\mathrm{1} \\ $$$$\therefore{t}\in\mathbb{C}?…
Question Number 70627 by Rio Michael last updated on 06/Oct/19 $${please}\:{great}\:{physicist}\:{check}\:{question}\: \\ $$$$\mathrm{70568}\:{please}\:{help} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5090 by FilupSmith last updated on 11/Apr/16 $$\mathrm{This}\:\mathrm{is}\:\mathrm{a}\:\mathrm{silly}\:\mathrm{request},\:\mathrm{but}\:\mathrm{I}\:\mathrm{think}\:\mathrm{this} \\ $$$$\mathrm{app}\:\mathrm{should}\:\mathrm{have}\:\ddots\:\mathrm{but}\:\mathrm{the}\:\mathrm{other}\:\mathrm{direction}. \\ $$$$ \\ $$$$\mathrm{It}\:\mathrm{would}\:\mathrm{have}\:\mathrm{some}\:\mathrm{application}\:\mathrm{when} \\ $$$$\mathrm{writing}\:\mathrm{some}\:\mathrm{matricies}\:\mathrm{and}\:\mathrm{to}\:\mathrm{more}\:\mathrm{formally} \\ $$$$\mathrm{write}: \\ $$$${x}^{{x}^{…} } \:\:\:\:\:\:\mathrm{as}\:\:\:\:\:\:\:\:{x}^{{x}^{\ddots} }…