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Question-174250

Question Number 174250 by Beginner last updated on 27/Jul/22 Commented by Beginner last updated on 28/Jul/22 $${r}^{\mathrm{2}} =\mathrm{81}−{h}^{\mathrm{2}} \\ $$$${V}=\mathrm{1}/\mathrm{3}\pi{r}^{\mathrm{2}} {h} \\ $$$${V}=\pi{h}/\mathrm{3}\left(\mathrm{81}−{h}^{\mathrm{2}} \right) \\…

Question-108678

Question Number 108678 by Rasikh last updated on 18/Aug/20 Answered by abdomsup last updated on 18/Aug/20 $${dont}\:{exist}\:\:{let}\:{x}_{{n}} =\left(\frac{\mathrm{1}}{{n}}\right)^{{i}} \\ $$$${lim}_{{n}\rightarrow+\infty} {x}_{{n}} \:\:={o}^{{i}} \:\:{but} \\ $$$${x}_{{n}}…

Solve-log-3-y-2-log-y-y-5-2-

Question Number 108674 by ZiYangLee last updated on 18/Aug/20 $$\mathrm{Solve}\:\:\mathrm{log}_{\mathrm{3}} \left(\mathrm{y}−\mathrm{2}\right)+\mathrm{log}_{\mathrm{y}} \left(\mathrm{y}+\mathrm{5}\right)=\mathrm{2} \\ $$ Answered by bshahid010 last updated on 18/Aug/20 $${i}\:{think}\:{no}\:{solution} \\ $$ Commented…

Question-174214

Question Number 174214 by Best1 last updated on 27/Jul/22 Answered by mr W last updated on 27/Jul/22 $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={l}^{\mathrm{2}} \\ $$$$\mathrm{2}{x}\frac{{dx}}{{dt}}+\mathrm{2}{y}\frac{{dy}}{{dt}}=\mathrm{0} \\ $$$$\Rightarrow\frac{{dx}}{{dt}}=−\frac{{y}}{{x}}×\frac{{dy}}{{dt}} \\…

what-is-the-range-of-the-inverse-the-relation-x-y-y-4-x-1-

Question Number 174193 by Best1 last updated on 26/Jul/22 $${what}\:{is}\:{the}\:{range}\:{of}\:{the}\:{inverse}\: \\ $$$${the}\:{relation}\:\left\{\left({x},{y}\right):{y}=\sqrt{\mathrm{4}−\mid{x}−\mathrm{1}\mid}\right\}??? \\ $$ Commented by cortano1 last updated on 27/Jul/22 $$\:\:{y}=\sqrt{\mathrm{4}−\mid{x}−\mathrm{1}\mid}\:;\:\mathrm{4}−\mid{x}−\mathrm{1}\mid\:\geqslant\mathrm{0} \\ $$$$\:\:\mid{x}−\mathrm{1}\mid\leqslant\mathrm{4}\Rightarrow−\mathrm{3}\leqslant{x}\leqslant\mathrm{5} \\…