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Question Number 190546 by cortano12 last updated on 05/Apr/23 $$\:\mathrm{Given}\:\mathrm{x},\mathrm{y},\mathrm{z}>\mathrm{0}\:\mathrm{and}\: \\ $$$$\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} +\mathrm{x}+\mathrm{2y}+\mathrm{3z}=\mathrm{23}\: \\ $$$$\:\mathrm{find}\:\mathrm{maximum}\:\mathrm{of}\:\mathrm{x}+\mathrm{y}+\mathrm{z}. \\ $$ Answered by mr W last updated…
Question Number 124956 by liberty last updated on 07/Dec/20 $$\:{y}\:=\:\mathrm{sec}^{−\mathrm{1}} \left({e}^{{x}^{\mathrm{4}} } \right)\:.\:{Find}\:{dy}\:=? \\ $$ Answered by bemath last updated on 07/Dec/20 $$\:\Rightarrow\:{e}^{{x}^{\mathrm{4}} } \:=\:\mathrm{sec}\:{y}\:{or}\:\mathrm{cos}\:{y}\:=\:\frac{\mathrm{1}}{{e}^{{x}^{\mathrm{4}}…
Question Number 124924 by bemath last updated on 07/Dec/20 $$\:{What}\:{should}\:{the}\:{dimensions}\:{be} \\ $$$${of}\:{a}\:{cylinder}\:{so}\:{that}\:{for}\:{a}\:{given}\:{volume}\: \\ $$$${v}\:{its}\:{total}\:{surface}\:{S}\:{minimum}\:?\: \\ $$ Commented by liberty last updated on 07/Dec/20 $${Denoting}\:{by}\:{r}\:{the}\:{radius}\:{of}\:{the}\:{base}\:{of}\:{the} \\…
Question Number 190420 by mnjuly1970 last updated on 02/Apr/23 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{laplace}\:\:\mathrm{transform} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−− \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathcal{L}_{{t}} \:\left\{\:\:\frac{\:\mathrm{sin}\left({t}\:\right)}{{t}}\:\:\right\}\:=\:\mathcal{F}\:\left({s}\:\right)\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathcal{F}\:\left({s}\:\right)=\:\:?\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:{then}\:\:{calculate}\:. \\ $$$$…
Question Number 124845 by liberty last updated on 06/Dec/20 $$\:\:\:{f}\left({x}\right)\:=\:\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)}\right)\: \\ $$$$\:\:\frac{{df}\left({x}\right)}{{dx}}\:? \\ $$ Answered by bemath last updated on 06/Dec/20 $${f}\:'\left({x}\right)=\frac{\mathrm{1}\left({x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right)−{x}\left(\mathrm{1}−\left(\frac{{x}−\mathrm{sin}\:{x}−{x}\left(\mathrm{1}−\mathrm{cos}\:{x}\right)}{\left({x}−\mathrm{sin}\:{x}\right)^{\mathrm{2}} }\right)\mathrm{cos}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right.}{\left({x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)\right)^{\mathrm{2}} }.\:\mathrm{cos}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:\left(\frac{{x}}{{x}−\mathrm{sin}\:{x}}\right)}\right) \\…
Question Number 124831 by mnjuly1970 last updated on 06/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:\:\:\:{prove}\:\:\:{that}:: \\ $$$$\:\:\:{lim}_{{x}\rightarrow\infty} \left\{{xe}^{\frac{\mathrm{1}}{{x}}} −{e}^{\frac{−\mathrm{1}}{{x}}} \Gamma\left(\frac{\mathrm{1}}{{x}}\:\right)\right\}=\mathrm{2}+\gamma \\ $$$$\:\:\:\:\gamma:\:{euler}−{mascheroni}\:{constant} \\ $$$$ \\ $$ Answered by…
Question Number 124796 by Engr_Jidda last updated on 06/Dec/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{this}\:\mathrm{equation}\:\mathrm{interms} \\ $$$$\mathrm{bessels}\:\mathrm{function}. \\ $$$$\mathrm{y}^{''} +\left(\mathrm{1}+\frac{\mathrm{1}−\mathrm{4k}^{\mathrm{2}} }{\mathrm{4x}^{\mathrm{2}} }\right)\mathrm{y}=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 124779 by TITA last updated on 05/Dec/20 Commented by TITA last updated on 05/Dec/20 $${please}\:{help} \\ $$ Answered by Lordose last updated on…
Question Number 59220 by Aditya789 last updated on 06/May/19 $$\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{y}=\:\frac{\mathrm{b}^{\mathrm{2}} }{\mathrm{sin}^{\mathrm{2}} \mathrm{x}}+\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{cos}^{\mathrm{2}} \mathrm{x}} \\ $$ Answered by MJS last updated on 06/May/19…