Question Number 158827 by LEKOUMA last updated on 09/Nov/21 $${resolve}\:\int\mathrm{ln}\:\left(\mathrm{cos}\:{x}\right){dx} \\ $$ Answered by Eldon last updated on 09/Nov/21 $$\:−{tan}\left({x}\right)+{c}\:\:{c}\epsilon{R} \\ $$ Commented by LEKOUMA…
Question Number 27688 by NECx last updated on 12/Jan/18 $${Write}\:{the}\:{series},{indicating}\:{the} \\ $$$$\mathrm{5}{th}\:{term},{the}\:\mathrm{5}{th}\:{partial}\:{sum} \\ $$$$ \\ $$$$\mathrm{0}+\mathrm{1}+\mathrm{3}+…+\left(\frac{{n}^{\mathrm{2}} +{n}}{\mathrm{2}}\right)+… \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 27685 by NECx last updated on 13/Jan/18 $${Write}\:{the}\:{first}\:{five}\:{series}\:{indicating} \\ $$$${the}\:\mathrm{5}{th}\:{term},\mathrm{5}{th}\:{partial}\:{sum} \\ $$$$ \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{t}_{{n}} ,\:{where} \\ $$$${t}_{{n}} =\begin{cases}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{for}\:{n}=\mathrm{1}}\\{\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{for}\:{n}=\mathrm{2}}\\{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}+…+\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} \left(\frac{\mathrm{1}}{{n}}\right)\:\:\:{for}\:\:\:{n}>\mathrm{2}}\end{cases} \\ $$…
Question Number 93220 by I want to learn more last updated on 11/May/20 $$\mathrm{Please}\:\mathrm{in}\:\mathrm{an}\:\mathrm{arithmetic}\:\mathrm{mean} \\ $$$$\:\:\:\:\:\:\:\mathrm{a},\:\:\mathrm{A}_{\mathrm{1}} ,\:\mathrm{A}_{\mathrm{2}} ,\:\mathrm{A}_{\mathrm{3}} ,\:…\:,\:\mathrm{A}_{\mathrm{n}} ,\:\mathrm{b} \\ $$$$\mathrm{where}\:\:\:\mathrm{A}_{\mathrm{1}} ,\:\mathrm{A}_{\mathrm{2}} ,\:\mathrm{A}_{\mathrm{3}} ,\:…\:,\:\mathrm{A}_{\mathrm{n}}…
Question Number 93184 by Rio Michael last updated on 11/May/20 $$\mathrm{in}\:\mathrm{solving}\:\mathrm{the}\:\mathrm{linear}\:\mathrm{congruence} \\ $$$${ax}\:\equiv\:{b}\:\left(\mathrm{mod}\:{n}\right)\:\Rightarrow\:{n}\mid\left({ax}\:−\:{b}\right)\:\Rightarrow\:{ax}\:−{b}\:=\:{kn}\:\Leftrightarrow\:{ax}\:−{kn}\:=\:{b} \\ $$$$\Rightarrow\:\mathrm{solving}\:\mathrm{the}\:\mathrm{linear}\:\mathrm{diophantine}\:\mathrm{equation}\:{ax}\:−{kn}\:=\:{b} \\ $$$$\:\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{to}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:{ax}−{kn}\:=\:{b} \\ $$$$\: \\ $$$$ \\ $$…
Question Number 27609 by neilpalmer last updated on 10/Jan/18 $$\Delta=\sqrt{{m}×\phi} \\ $$$$\Delta={mass}\:{gap} \\ $$$${m}={mass} \\ $$$$\phi={phi} \\ $$$${calculate}\:{phi}\:{to}\:{the}\:{same}\:{number}\:{of}\: \\ $$$${decimal}\:{places}\:{as}\:{the}\:{mass}. \\ $$$${use}\:{the}\:{mass}\:{of}\:{an}\:{electron} \\ $$ Terms…
Question Number 27603 by lizan 123 last updated on 10/Jan/18 $${Find}\:\:{the}\:{value}\:{of}\:\:\:{i}^{{i}} \:\:? \\ $$$$ \\ $$$$ \\ $$ Commented by abdo imad last updated on…
Question Number 158675 by Tawa11 last updated on 07/Nov/21 Commented by mr W last updated on 24/Nov/21 $$=\frac{\mathrm{118}}{\mathrm{7}} \\ $$$${see}\:{Q}\mathrm{160014} \\ $$ Answered by ajfour…
Question Number 27599 by abdo imad last updated on 10/Jan/18 $${let}\:{give}\:{the}\:{equation}\:\:{x}^{\mathrm{6}} −{x}−\mathrm{1}=\mathrm{0}\:\:{by}\:{using}\:{Newton}\:{methodfind} \\ $$$${the}\:{approximate}\:{value}\:{of}\:{the}\:{real}?{root}\:\:{for}\:{this}\:{equation}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 93118 by M±th+et+s last updated on 11/May/20 $${sin}\left({x}\right)={a} \\ $$$$−\mathrm{1}\leqslant{a}\leqslant\mathrm{1} \\ $$ Answered by Rio Michael last updated on 11/May/20 $$\mathrm{sin}\:\left({x}\right)\:=\:{a}\:\mathrm{for}\:−\mathrm{1}\:\leqslant{a}\:\leqslant\:\mathrm{1} \\ $$$$\Rightarrow\:{x}\:=\:\pi{n}\:+\:\left(−\mathrm{1}\right)^{{n}}…