Question Number 174288 by Engr_Jidda last updated on 28/Jul/22 Commented by Engr_Jidda last updated on 28/Jul/22 $${find}\:{the}\:{value}\:{of}\:{t} \\ $$ Commented by a.lgnaoui last updated on…
Question Number 108753 by bemath last updated on 19/Aug/20 $$\:\:\frac{\vdots\mathcal{B}{e}\mathcal{M}{ath}\vdots}{\bigtriangleup} \\ $$$$\:\frac{\sqrt{{x}}\:+\mathrm{1}}{{x}\sqrt{{x}}\:+{x}+\sqrt{{x}}}\::\:\frac{\mathrm{1}}{\:\sqrt{{x}}\:−{x}^{\mathrm{2}} }\:+\:{x}\:=\:?\: \\ $$ Commented by Rasheed.Sindhi last updated on 19/Aug/20 $${I}'{ve}\:{thought}\:{it}\:{as} \\ $$$$\:\frac{\sqrt{{x}}\:+\mathrm{1}}{{x}\sqrt{{x}}\:+{x}+\sqrt{{x}}}\::\left(\:\frac{\mathrm{1}}{\:\sqrt{{x}}\:−{x}^{\mathrm{2}}…
Question Number 108741 by mr W last updated on 18/Aug/20 $${Solve}\:{x}^{\mathrm{3}} −\left[{x}\right]=\mathrm{3} \\ $$$$\left({x}\in{R}\right) \\ $$ Answered by Sarah85 last updated on 18/Aug/20 $$\mathrm{first},\:\mathrm{I}\:\mathrm{think}\:\mathrm{1}<{x}<\mathrm{2} \\…
Question Number 174271 by mnjuly1970 last updated on 28/Jul/22 $$ \\ $$$$\:\:\:\:{max}\:\left(\:\:{sin}\left({x}\right).{cos}^{\:\mathrm{3}} \left({x}\right)\right)=? \\ $$$$\:\:\:\:\:\:\:\:\:{x}\in\:\left[\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right] \\ $$ Commented by blackmamba last updated on 28/Jul/22 $${f}\left({x}\right)=\mathrm{sin}\:{x}\left(\mathrm{1}−\mathrm{sin}\:^{\mathrm{2}}…
Question Number 174269 by mr W last updated on 28/Jul/22 $${solve}\:\left({x}^{\mathrm{2}} −\mathrm{3}\right)^{\mathrm{2}} ={x}+\mathrm{3} \\ $$ Answered by Frix last updated on 28/Jul/22 $$\mathrm{obviously}\:{x}=\mathrm{1}\vee{x}=−\mathrm{2}\:\mathrm{the}\:\mathrm{other}\:\mathrm{2}\:\mathrm{are}\:\mathrm{easy} \\ $$…
Question Number 174267 by mnjuly1970 last updated on 28/Jul/22 $$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Q}::\:\:\mathrm{Find}\:\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathbb{M}\mathrm{ax}_{\:{x}\in\:\left[\:\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right]} \:\:\left\{\:\mathrm{sin}\:\left({x}\:\right).\:\mathrm{cos}^{\:\mathrm{3}} \left(\:{x}\:\right)\mid\:\:\right\}=?\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\: \\ $$ Commented…
Question Number 108725 by pete last updated on 18/Aug/20 $$\mathrm{The}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{profit},\:\mathrm{cost}\:\mathrm{of}\:\mathrm{materials} \\ $$$$\mathrm{and}\:\mathrm{labour}\:\mathrm{in}\:\mathrm{the}\:\mathrm{production}\:\mathrm{of}\:\mathrm{an}\:\mathrm{article} \\ $$$$\mathrm{is}\:\mathrm{5}:\mathrm{7}:\mathrm{13}\:\mathrm{respectively}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{materials} \\ $$$$\mathrm{is}\:\$\:\mathrm{840}\:\mathrm{more}\:\mathrm{than}\:\mathrm{that}\:\mathrm{of}\:\mathrm{labour},\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{total}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{producing}\:\mathrm{the}\:\mathrm{article}. \\ $$ Answered by Don08q last updated…
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Question Number 174253 by mathlove last updated on 28/Jul/22 Answered by mnjuly1970 last updated on 28/Jul/22 $$\:\:\:{x}^{\:\mathrm{3}} +\mathrm{3}{x}^{\:\mathrm{2}} +\mathrm{3}{x}\:+\mathrm{1}\:=\:\mathrm{2023}{x} \\ $$$$\:\:\:\:\:\left({x}+\mathrm{1}\right)^{\:\mathrm{3}} =\:\mathrm{2023}{x} \\ $$$$\:\:\:\:\:\:\:{x}+\mathrm{1}=\:\sqrt[{\mathrm{3}}]{\mathrm{2023}}\:.\sqrt[{\mathrm{3}}]{{x}} \\…
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