Question Number 155316 by ZiYangLee last updated on 28/Sep/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}−{x}\right)=? \\ $$ Answered by puissant last updated on 28/Sep/21 $$=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{3}{x}}{\:{x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{3}{x}}}\:=\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{{x}}{{x}}×\frac{\mathrm{3}}{\mathrm{1}+\sqrt{\mathrm{1}+\frac{\mathrm{3}}{{x}}}}…
Question Number 89781 by mr W last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{A}=\:\frac{\Delta\sqrt{\Delta}}{\mathrm{6}.\mathrm{a}^{\mathrm{2}} } \\ $$ Commented by mr W…
Question Number 89776 by john santu last updated on 19/Apr/20 $${what}\:{is}\:{the}\:{stability}\:{of}\:{the}\: \\ $$$${following}\:{function}\: \\ $$$$\frac{{dy}}{{dt}}\:=\:{y}^{\mathrm{3}} \:−\mathrm{2}{y}^{\mathrm{2}} \:+\:{y}\: \\ $$ Commented by jagoll last updated on…
Question Number 155310 by SANOGO last updated on 28/Sep/21 $$\mathrm{lim}\:\:\:\:{U}_{{n}} =\underset{{k}={o}} {\overset{{n}−\mathrm{1}} {\sum}}\:\:\frac{{n}\left({ln}\left({n}+{k}\right)\right)−{ln}\left({n}\right)}{{n}^{\mathrm{2}} +{k}^{\mathrm{2}} } \\ $$ Answered by puissant last updated on 28/Sep/21 $$\underset{{x}\rightarrow\infty}…
Question Number 89768 by john santu last updated on 19/Apr/20 $${t}\left({n}\right)\:−\:{t}\left({n}−\mathrm{1}\right)\:=\:{n}\:\: \\ $$$${for}\:{n}\:>\:\mathrm{0}\:{and}\:{t}\left(\mathrm{0}\right)\:=\:\mathrm{1}\: \\ $$$${find}\:{t}\left({n}\right)\: \\ $$ Answered by john santu last updated on 19/Apr/20…
Question Number 24233 by Nayon.Sm last updated on 14/Nov/17 $${if}\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }={ksiny}\:{then}\:{y}=? \\ $$ Answered by ajfour last updated on 15/Nov/17 $${let}\:{y}\:\rightarrow{x}\:\:\:{and}\:{x}\rightarrow{t} \\ $$$$\Rightarrow\:{then}\:\:\frac{{d}^{\mathrm{2}} {x}}{{dt}^{\mathrm{2}}…
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Question Number 24227 by tawa tawa last updated on 14/Nov/17 Commented by tawa tawa last updated on 14/Nov/17 $$\mathrm{please}\:\mathrm{help}. \\ $$ Answered by $@ty@m last…
Question Number 155293 by peter frank last updated on 28/Sep/21 Answered by mr W last updated on 28/Sep/21 Commented by mr W last updated on…
Question Number 155292 by peter frank last updated on 28/Sep/21 Answered by peter frank last updated on 30/Sep/21 $$\mathrm{R}=\mathrm{a}=\frac{\mathrm{v}^{\mathrm{2}} \mathrm{sin}\:\mathrm{2}\theta}{\mathrm{g}}=\frac{\mathrm{2v}^{\mathrm{2}} \mathrm{sin}\:\theta\mathrm{cos}\:\theta}{\mathrm{g}}…\left(\mathrm{i}\right) \\ $$$$\mathrm{H}=\mathrm{x}=\frac{\mathrm{v}^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \theta}{\mathrm{2g}}…