Question Number 146316 by mathdanisur last updated on 12/Jul/21 Answered by Ar Brandon last updated on 12/Jul/21 $$\mathrm{log}_{\mathrm{x}−\mathrm{2}} \left(\mathrm{2x}+\mathrm{7}\right)\leqslant\mathrm{1} \\ $$$$\mathrm{Conditions}; \\ $$$$\mathrm{2x}+\mathrm{7}>\mathrm{0}\:\wedge\:\mathrm{1}\neq\mathrm{x}−\mathrm{2}>\mathrm{0}, \\ $$$$\Rightarrow\left(\mathrm{x}>−\frac{\mathrm{7}}{\mathrm{2}}\right)\:\wedge\left(\:\mathrm{0}<\mathrm{x}−\mathrm{2}<\mathrm{1}\cup\mathrm{x}−\mathrm{2}>\mathrm{1}\right)…
Question Number 146318 by mathdanisur last updated on 12/Jul/21 $${if}\:\:\:{arg}\:\left(\frac{{z}−{i}}{{i}}\right)=\mathrm{2} \\ $$$${find}\:\:\:{Imz}\:+\:{Rez}\:=\:? \\ $$ Commented by Ar Brandon last updated on 12/Jul/21 $$−\pi\leqslant\mathrm{arg}\left(\mathrm{Z}\right)\leqslant\pi \\ $$…
Question Number 146310 by mathdanisur last updated on 12/Jul/21 $$\mathrm{4}\:{sin}\left({x}\right)\:{cos}\left({x}\right)\:\geqslant\:\sqrt{\mathrm{3}} \\ $$ Commented by mathdanisur last updated on 12/Jul/21 $${Solve}\:{the}\:{trigonometric}\:{inequality} \\ $$ Commented by MJS_new…
Question Number 146311 by mathdanisur last updated on 12/Jul/21 $${lg}^{\mathrm{2}} \left(\mathrm{10}{x}\right)\:+\:{lg}\left({x}\right)\:+\:\mathrm{1}\:=\:\mathrm{6}\:-\:{lg}\left({x}\right) \\ $$$$\Rightarrow\:{x}=? \\ $$ Commented by iloveisrael last updated on 13/Jul/21 $$\Rightarrow\left(\mathrm{1}+\mathrm{log}\:_{\mathrm{10}} \mathrm{x}\right)^{\mathrm{2}} +\mathrm{2log}\:_{\mathrm{10}}…
Question Number 15234 by mrW1 last updated on 08/Jun/17 $$\mathrm{A}\:\mathrm{question}\:\mathrm{related}\:\mathrm{to}\:\mathrm{Q}.\mathrm{15184} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{ln}\:\mathrm{x}\right)^{\frac{\mathrm{1}}{\mathrm{x}}} \\ $$ Commented by mrW1 last updated on 09/Jun/17 $$\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{ln}\:\mathrm{x}\right)^{\frac{\mathrm{1}}{\mathrm{x}}} \:\mathrm{is}\:\left[\mathrm{1},+\infty\right) \\ $$$$\mathrm{let}\:\mathrm{t}=\frac{\mathrm{1}}{\mathrm{x}},\:\mathrm{t}\in\left(\mathrm{0},\mathrm{1}\right]…
Question Number 80760 by Power last updated on 06/Feb/20 Commented by mr W last updated on 06/Feb/20 $${f}\left({x}\right)={x} \\ $$ Terms of Service Privacy Policy…
Question Number 146285 by mathdanisur last updated on 12/Jul/21 $$\int\:{sin}\left(\mathrm{2}{x}\:-\:\frac{\pi}{\mathrm{4}}\right)\:{dx}\:=\:? \\ $$ Commented by gsk2684 last updated on 12/Jul/21 $${what}\:{are}\:{you}\:{studying}\:{now}? \\ $$ Commented by mathdanisur…
Question Number 146277 by mathdanisur last updated on 12/Jul/21 $$\int{cos}\left(\mathrm{2}{x}\right){dx}=? \\ $$ Answered by physicstutes last updated on 12/Jul/21 $$\mathrm{Nice}\:\mathrm{question}.\:\mathrm{lol} \\ $$$$\int\mathrm{cos}\:\left(\mathrm{2}{x}\right)\:{dx}\:=\:\frac{\mathrm{sin}\:\mathrm{2}{x}}{\mathrm{2}}+{k} \\ $$$$\int\mathrm{cos}\:\left({ax}\right){dx}\:=\:\frac{\mathrm{sin}\:{ax}}{{a}}+{k} \\…
Question Number 80747 by Power last updated on 06/Feb/20 Commented by MJS last updated on 06/Feb/20 $$\mathrm{we}\:\mathrm{had}\:\mathrm{this}\:\mathrm{weeks}\:\mathrm{ago}.\:\mathrm{it}'\mathrm{s}\:\mathrm{getting}\:\mathrm{boring}… \\ $$ Answered by tw000001 last updated on…
Question Number 146272 by mathdanisur last updated on 12/Jul/21 $${log}_{\boldsymbol{{x}}} \left({x}^{\mathrm{2}} \:+\:\mathrm{1}\right)\:\leqslant\:\mathrm{1} \\ $$ Commented by iloveisrael last updated on 13/Jul/21 $$\:\mathrm{log}\:_{\mathrm{x}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\leqslant\mathrm{log}\:_{\mathrm{x}} \left(\mathrm{x}\right)…