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Question Number 49078 by ggny last updated on 02/Dec/18 Answered by hknkrc46 last updated on 02/Dec/18 $$ \\ $$$$\frac{\mathrm{2}{x}−\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}{x}+\mathrm{5}}{\mathrm{9}}\:\Rightarrow\mathrm{9}\left(\mathrm{2}{x}−\mathrm{1}\right)=\mathrm{4}\left(\mathrm{3}{x}+\mathrm{5}\right) \\ $$$$\mathrm{18}{x}−\mathrm{9}=\mathrm{12}{x}+\mathrm{20}\:\Rightarrow\:\mathrm{6}{x}=\mathrm{29}\:\Rightarrow\:{x}=\frac{\mathrm{29}}{\mathrm{6}} \\ $$ Terms of…
Question Number 180139 by Khalmohmmad last updated on 07/Nov/22 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{x}}\right)^{{x}} =? \\ $$ Commented by CElcedricjunior last updated on 07/Nov/22 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}}{\boldsymbol{{x}}}\right)^{\boldsymbol{{x}}} =\boldsymbol{{l}} \\…
Question Number 114586 by Khalmohmmad last updated on 19/Sep/20 $$\mathrm{f}\left(\mathrm{x}\right)−\mathrm{2f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\mathrm{3x}−\mathrm{2} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=? \\ $$ Commented by Dwaipayan Shikari last updated on 19/Sep/20 $${f}\left({x}\right)−\mathrm{2}{f}\left(\frac{\mathrm{1}}{{x}}\right)=\mathrm{3}{x}−\mathrm{2}\rightarrow\left({a}\right) \\ $$$${f}\left(\frac{\mathrm{1}}{{x}}\right)−\mathrm{2}{f}\left({x}\right)=\frac{\mathrm{3}}{{x}}−\mathrm{2}…
Question Number 114582 by mohammad17 last updated on 19/Sep/20 Commented by mohammad17 last updated on 19/Sep/20 $${help}\:{me}\:{sir} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 180122 by mathocean1 last updated on 07/Nov/22 $${Verifiez}\:{si}\: \\ $$$${q}\left({x},{y}\right)=\mathrm{2}{xy}+\mathrm{2}{xz}+\mathrm{2}{yz}\:{est}\:{un}\: \\ $$$${produit}\:{scalaire}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 114577 by Khalmohmmad last updated on 19/Sep/20 $$\mathrm{x}=\frac{\pi}{\mathrm{30}} \\ $$$$\frac{\mathrm{cos14x}×\mathrm{cos6x}}{\mathrm{cos4x}}=? \\ $$ Commented by bemath last updated on 19/Sep/20 $$\frac{\mathrm{cos}\:\mathrm{20}{x}+\mathrm{cos}\:\mathrm{8}{x}}{\mathrm{2cos}\:\mathrm{4}{x}}\:=\:\frac{\mathrm{cos}\:\frac{\mathrm{2}\pi}{\mathrm{3}}+\mathrm{cos}\:\frac{\mathrm{4}\pi}{\mathrm{15}}}{\mathrm{2cos}\:\frac{\mathrm{2}\pi}{\mathrm{15}}} \\ $$$$=\:\frac{−\frac{\mathrm{1}}{\mathrm{2}}+\mathrm{2cos}\:^{\mathrm{2}} \left(\frac{\mathrm{2}\pi}{\mathrm{15}}\right)−\mathrm{1}}{\mathrm{2cos}\:\frac{\mathrm{2}\pi}{\mathrm{15}}}…
Question Number 114570 by ZiYangLee last updated on 19/Sep/20 $$\mathrm{Given}\:\mathrm{that}\: \\ $$$${N}=\mathrm{625}\left(\mathrm{1}−\frac{\mathrm{9}}{\mathrm{5}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{9}}{\mathrm{8}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{9}}{\mathrm{11}^{\mathrm{2}} }\right)…\left(\mathrm{1}−\frac{\mathrm{9}}{\mathrm{125}^{\mathrm{2}} }\right) \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{of}\:{N}. \\ $$ Answered by floor(10²Eta[1]) last updated…
Question Number 180107 by yaslm last updated on 07/Nov/22 Commented by MJS_new last updated on 07/Nov/22 $$\mathrm{only}\:\mathrm{real}\:\mathrm{solution} \\ $$$${x}={y}=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by Rasheed.Sindhi last…
Question Number 114539 by naka3546 last updated on 19/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\left[\:\frac{\mathrm{sinh}\:{x}\:−\:\mathrm{sin}\:{x}}{{x}^{\mathrm{3}} }\:\right]\:\:=\:\:? \\ $$ Commented by bemath last updated on 20/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\frac{\mathrm{1}}{\mathrm{2}}\left[\left(\mathrm{1}+{x}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+\frac{{x}^{\mathrm{3}} }{\mathrm{6}}\right)−\left(\mathrm{1}−{x}+\frac{{x}^{\mathrm{2}}…