Question Number 141849 by iloveisrael last updated on 24/May/21 $$\:\:\:\:\:{y}''−\mathrm{6}{y}'+\mathrm{9}{y}\:=\:\mathrm{9}{x}^{\mathrm{2}} \:{e}^{\mathrm{3}{x}} \:\mathrm{cos}\:\left(\mathrm{3}{x}\right)\:\: \\ $$ Answered by qaz last updated on 24/May/21 $${y}''−\mathrm{6}{y}'+\mathrm{9}{y}=\mathrm{9}{x}^{\mathrm{2}} {e}^{\mathrm{3}{x}} \mathrm{cos}\:\left(\mathrm{3}{x}\right) \\…
Question Number 141848 by iloveisrael last updated on 24/May/21 $$\:\mathscr{I}\:=\:\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }−\mathrm{1}}\:{dx}\: \\ $$ Answered by ArielVyny last updated on 24/May/21 $${we}\:{know}\:{that}\:\:{cos}^{\mathrm{2}} {x}+{sin}^{\mathrm{2}} {x}=\mathrm{1} \\ $$$${let}\:{us}\:{consider}\:{that}\:\:{x}={sint}…
Question Number 10777 by j.masanja06@gmail.com last updated on 24/Feb/17 $$\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{or}\:\left(\mathrm{ranges}\right)\:\mathrm{of}\:\mathrm{value}\:\mathrm{x} \\ $$$$\mathrm{can}\:\mathrm{take}\:\mathrm{for}\:\:\mathrm{x}+\mathrm{6}>\left[\mathrm{2x}+\mathrm{3}\right] \\ $$ Commented by mrW1 last updated on 24/Feb/17 $${do}\:{you}\:{mean}\:{x}+\mathrm{6}>\mid\mathrm{2}{x}+\mathrm{3}\mid\:? \\ $$ Commented…
Question Number 10776 by j.masanja06@gmail.com last updated on 24/Feb/17 $$\mathrm{if}\:\:\:\mathrm{D}\:=\begin{vmatrix}{\mathrm{1}}&{\mathrm{3sin}\theta}&{\mathrm{1}}\\{\mathrm{sin}\theta}&{\mathrm{1}}&{\mathrm{3cos}\theta}\\{\mathrm{1}}&{\mathrm{sin}\theta}&{\mathrm{1}}\end{vmatrix}\:\mathrm{the}\:\mathrm{maxi} \\ $$$$\mathrm{mum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{D}\:\mathrm{is}? \\ $$ Answered by sandy_suhendra last updated on 24/Feb/17 $$\mathrm{D}=\mathrm{1}+\mathrm{9}\:\mathrm{sin}\theta\:\mathrm{cos}\theta+\mathrm{sin}\theta\:\mathrm{cos}\theta−\left(\mathrm{1}+\mathrm{3}\:\mathrm{sin}\theta\:\mathrm{cos}\theta+\mathrm{3}\:\mathrm{sin}\theta\:\mathrm{cos}\theta\right)\:\:\:\:\: \\ $$$$\:\:\:\:=\mathrm{4}\:\mathrm{sin}\theta\:\mathrm{cos}\theta=\mathrm{2}\:\mathrm{sin}\:\mathrm{2}\theta \\…
Question Number 10774 by j.masanja06@gmail.com last updated on 24/Feb/17 Answered by sandy_suhendra last updated on 24/Feb/17 $$=\begin{vmatrix}{\mathrm{log}_{\mathrm{3}} \mathrm{1024}\:\:\:\:\mathrm{1}}\\{\mathrm{log}_{\mathrm{3}} \mathrm{8}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\end{vmatrix}×\begin{vmatrix}{\mathrm{log}_{\mathrm{2}} \mathrm{3}\:\:\:\:\mathrm{log}_{\mathrm{4}} \mathrm{3}}\\{\mathrm{log}_{\mathrm{3}} \mathrm{4}\:\:\:\:\mathrm{log}_{\mathrm{3}} \mathrm{4}}\end{vmatrix} \\ $$$$=\left(\mathrm{2log}_{\mathrm{3}}…
Question Number 141847 by iloveisrael last updated on 24/May/21 $$\:\mathcal{I}\:=\:\int\:\frac{\mathrm{sec}\:{x}}{\mathrm{1}+\mathrm{csc}\:{x}}\:{dx}\: \\ $$ Answered by MJS_new last updated on 24/May/21 $$\int\frac{\mathrm{sec}\:{x}}{\mathrm{1}+\mathrm{csc}\:{x}}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{tan}\:\frac{{x}}{\mathrm{2}}\:\rightarrow\:{dx}=\mathrm{2cos}^{\mathrm{2}} \:\frac{{x}}{\mathrm{2}}\:{dt}\right] \\ $$$$=−\mathrm{4}\int\frac{{t}}{\left({t}−\mathrm{1}\right)\left({t}+\mathrm{1}\right)^{\mathrm{3}}…
Question Number 10773 by ketto last updated on 24/Feb/17 Answered by mrW1 last updated on 24/Feb/17 $$\mathrm{3}!=\mathrm{6}\:{ways} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 141846 by ArielVyny last updated on 24/May/21 $$\sum_{{k}\geqslant\mathrm{0}} \left({C}_{{n}} ^{{k}} \right)^{\mathrm{2}} \\ $$ Answered by mindispower last updated on 24/May/21 $$\underset{{k}\geqslant\mathrm{0}} {\sum}{C}_{{n}} ^{{k}}…
Question Number 76306 by Hassen_Timol last updated on 26/Dec/19 $${z}\:=\:{a}\:+\:{bi} \\ $$$${Z}\:=\:\frac{−\mathrm{7}\:+\:{z}}{−\mathrm{3}\:+\:{iz}} \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{points}\:\mathrm{M} \\ $$$$\mathrm{of}\:\mathrm{coordonates}\:\left({a},{b}\right)\:\mathrm{such}\:\mathrm{as}\:{Z}\:\mathrm{is}\:\mathrm{real}\:? \\ $$ Answered by mr W last…
Question Number 141840 by Study last updated on 23/May/21 $${sin}^{\mathrm{2}} \left(\mathrm{360}−{x}\right)−\frac{{cos}\left({x}−\mathrm{180}\right)\centerdot{tan}\left(−{x}\right)\centerdot{sin}\left(\mathrm{90}−{x}\right)\centerdot{cos}\left(\mathrm{360}−{x}\right)}{{sin}\left(\mathrm{180}−{x}\right)}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com