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Author: Tinku Tara

Question-8073

Question Number 8073 by 314159 last updated on 29/Sep/16 Commented by 123456 last updated on 30/Sep/16 $$\mathrm{cosh}\left({x}\right)=\frac{{e}^{{x}} +{e}^{−{x}} }{\mathrm{2}} \\ $$$${x}^{\mathrm{4}} +{x}^{−\mathrm{4}} =\mathrm{47} \\ $$$${x}={e}^{{t}}…

3-sin-x-cos-x-3-cos-x-sin-x-0-

Question Number 139141 by bramlexs22 last updated on 23/Apr/21 $$\:\:\:\mathrm{3}^{\mathrm{sin}\:\mathrm{x}} \:\mathrm{cos}\:\mathrm{x}\:−\mathrm{3}^{\mathrm{cos}\:\mathrm{x}} \:\mathrm{sin}\:\mathrm{x}\:=\:\mathrm{0} \\ $$ Answered by phanphuoc last updated on 23/Apr/21 $$\frac{\mathrm{3}^{{sinx}} }{{sinx}}=\frac{\mathrm{3}^{{cosx}} }{{cosx}}\rightarrow{sinx}={cosx}\rightarrow{tgx}=\mathrm{1}\rightarrow{x}=\pi/\mathrm{4}+{k}\pi \\…

Solve-2x-x-7-2-x-3-2-0-

Question Number 8071 by marcusvsoliveira last updated on 29/Sep/16 $${Solve}\:−\mathrm{2}{x}\left({x}+\frac{\mathrm{7}}{\mathrm{2}}\right)−\left({x}−\mathrm{3}\right)^{\mathrm{2}} \leqslant\mathrm{0} \\ $$ Commented by FilupSmith last updated on 29/Sep/16 $$−\mathrm{2}{x}\left({x}+\frac{\mathrm{7}}{\mathrm{2}}\right)−\left({x}−\mathrm{3}\right)^{\mathrm{2}} =−\left(\mathrm{2}{x}^{\mathrm{2}} +\mathrm{7}{x}\right)−\left({x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{9}\right) \\…

Question-139140

Question Number 139140 by mathlove last updated on 23/Apr/21 Answered by TheSupreme last updated on 23/Apr/21 $${sin}\left({x}\right)={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+{o}\left({x}^{\mathrm{3}} \right) \\ $$$${li}\underset{{x}} {{m}}\frac{\mathrm{2019}{x}−\mathrm{2019}{x}+\frac{\mathrm{2019}^{\mathrm{3}} }{\mathrm{3}}{x}^{\mathrm{3}} }{\mathrm{2020}{x}−\mathrm{2020}{x}+\frac{\mathrm{2020}^{\mathrm{3}} }{\mathrm{3}}{x}^{\mathrm{3}}…