Question Number 193629 by abdallafudol last updated on 17/Jun/23 $$\int\mathrm{cos}\:\mathrm{5xdx} \\ $$$$ \\ $$ Commented by SaRahAli last updated on 17/Jun/23 ∫cos 5xdx =1/5 sin5x + c Terms of Service…
Question Number 193626 by SaRahAli last updated on 17/Jun/23 Answered by MM42 last updated on 17/Jun/23 $${x}=\sqrt{\mathrm{2}} \\ $$$$\Rightarrow\left(\sqrt{\mathrm{2}}\right)^{\left(\sqrt{\mathrm{2}}\right)^{\mathrm{8}} } =\left(\sqrt{\mathrm{2}}\right)^{\mathrm{16}} =\mathrm{256}\:\:\&\:\:\left(\sqrt{\mathrm{2}}\right)^{\left(\sqrt{\mathrm{2}}\right)^{\mathrm{2}} } =\left(\sqrt{\mathrm{2}}\right)^{\mathrm{2}} =\mathrm{2}…
Question Number 193622 by a.lgnaoui last updated on 17/Jun/23 $$\mathrm{determiner}\:\mathrm{l}\:\mathrm{angle}\:\boldsymbol{\mathrm{x}} \\ $$ Commented by a.lgnaoui last updated on 17/Jun/23 Answered by cherokeesay last updated on…
Question Number 193617 by SaRahAli last updated on 17/Jun/23 Answered by witcher3 last updated on 17/Jun/23 $$\mathrm{x}\left(\mathrm{x}−\mathrm{3}\right)=\mathrm{x}^{\mathrm{2}} −\mathrm{3x} \\ $$$$\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{2}\right)=\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+\mathrm{2} \\ $$$$\mathrm{t}=\mathrm{x}^{\mathrm{2}} −\mathrm{3x} \\…
Question Number 193618 by Brianodhiambo last updated on 17/Jun/23 $${x}^{{log}_{\mathrm{2}} {x}} =\mathrm{256} \\ $$ Answered by aba last updated on 17/Jun/23 $$\mathrm{x}^{\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}\right)} =\mathrm{256}\:\Rightarrow\:\mathrm{x}^{\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}\right)}…
Question Number 193612 by Noorzai last updated on 17/Jun/23 Answered by aba last updated on 17/Jun/23 $$\mathrm{x}^{\mathrm{x}^{\mathrm{2}} } =\mathrm{3}\:\Rightarrow\:\mathrm{x}^{\mathrm{2}} \mathrm{lnx}=\mathrm{ln3} \\ $$$$\Rightarrow\mathrm{2lnx}.\mathrm{e}^{\mathrm{2lnx}} =\mathrm{2ln3}\:\Rightarrow\:\mathrm{2lnx}=\mathrm{W}\left(\mathrm{2ln3}\right) \\ $$$$\Rightarrow\:\mathrm{x}=\mathrm{e}^{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{W}\left(\mathrm{2ln3}\right)}…
Question Number 193609 by Mingma last updated on 17/Jun/23 Answered by Subhi last updated on 17/Jun/23 $$\frac{{x}}{{sin}\left(\mathrm{60}\right)}=\frac{{z}}{{sin}\left(\mathrm{120}−{y}\right)}\: \\ $$$$\frac{{z}}{{sin}\left(\mathrm{60}\right)}=\frac{\mathrm{1}}{{sin}\left(\mathrm{60}−{y}\right)}\:\Rrightarrow\:{z}=\frac{{sin}\left(\mathrm{60}\right)}{{sin}\left(\mathrm{60}−{y}\right)} \\ $$$${x}=\frac{{sin}^{\mathrm{2}} \left(\mathrm{60}\right)}{{sin}\left(\mathrm{60}−{y}\right){sin}\left(\mathrm{120}−{y}\right)} \\ $$$$\frac{{x}+{z}}{{sin}\left(\mathrm{120}\right)}=\frac{{z}}{{sin}\left(\mathrm{60}−{y}\right)} \\…
Question Number 193611 by aba last updated on 17/Jun/23 $$\mathrm{2}\sqrt{\mathrm{4}}\:\boldsymbol{\div}\:\mathrm{2}\sqrt{\mathrm{4}}\:=? \\ $$ Answered by Skabetix last updated on 17/Jun/23 $${if}\:{it}\:{is}\:\left(\mathrm{2}\sqrt{}\mathrm{4}\right)/\left(\mathrm{2}\sqrt{}\mathrm{4}\right)=\mathrm{1} \\ $$$${else}\:\mathrm{2}×\sqrt{}\mathrm{4}/\mathrm{2}\:×\sqrt{}\mathrm{4}\:=\:\mathrm{2}\:×\:\mathrm{2}/\mathrm{2}\:×\:\mathrm{2}\:=\mathrm{2}×\mathrm{1}×\mathrm{2}=\mathrm{4} \\ $$$$ \\…
Question Number 193669 by Rupesh123 last updated on 17/Jun/23 Answered by AST last updated on 18/Jun/23 $${cos}\left({x}+{y}\right)+{isin}\left({x}+{y}\right)={e}^{{i}\left({x}+{y}\right)} ={e}^{{ix}} {e}^{{iy}} \\ $$$$=\left({cos}\left({x}\right)+{isin}\left({x}\right)\right)\left({cos}\left({y}\right)+{isin}\left({y}\right)\right) \\ $$$$={cos}\left({x}\right){cos}\left({y}\right)−{sin}\left({x}\right){cos}\left({y}\right)+{icos}\left({x}\right){sin}\left({y}\right)+{isin}\left({x}\right){cos}\left({y}\right) \\ $$$${Comparing}\:{real}\:{parts}…
Question Number 193668 by SAMIRA last updated on 17/Jun/23 $$\frac{\mathrm{sin}\left(\mathrm{3x}\right)}{\mathrm{1}−\mathrm{x}}−\frac{\mathrm{cos}\left(\mathrm{3x}\right)}{\mathrm{cos}\left(\mathrm{x}\right)}\:=\:−\mathrm{2}\:\:????\:\: \\ $$ Answered by Frix last updated on 18/Jun/23 $$\mathrm{Transform}\:\mathrm{to} \\ $$$${x}=−\frac{\mathrm{4sin}^{\mathrm{3}} \:{x}\:−\mathrm{4sin}^{\mathrm{2}} \:{x}\:−\mathrm{3sin}\:{x}\:−\mathrm{1}}{\mathrm{1}+\mathrm{4sin}^{\mathrm{2}} \:{x}}={f}\left({x}\right)…