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Author: Tinku Tara

Question-193345

Question Number 193345 by yaslm last updated on 11/Jun/23 Answered by aleks041103 last updated on 13/Jun/23 $${The}\:{trajectry}\:{of}\:{the}\:{water}\:{is}\:{a}\:{freefall}\:{parabolla} \\ $$$$\Rightarrow{H}=\frac{\mathrm{1}}{\mathrm{2}}{gt}^{\mathrm{2}} \Rightarrow{t}=\sqrt{\frac{\mathrm{2}{H}}{{g}}} \\ $$$${D}={vt}={v}\sqrt{\frac{\mathrm{2}{H}}{{g}}} \\ $$$$\Rightarrow{v}=\sqrt{\frac{{gD}^{\mathrm{2}} }{\mathrm{2}{H}}}…

4x-3-2x-5-2-solve-for-x-

Question Number 193346 by pascal889 last updated on 11/Jun/23 $$\sqrt{\mathrm{4x}−\mathrm{3}}−\sqrt{\mathrm{2x}−\mathrm{5}}=\mathrm{2} \\ $$$$\mathrm{solve}\:\mathrm{for}\:\mathrm{x} \\ $$ Answered by AST last updated on 11/Jun/23 $${u}−{v}=\mathrm{2};\:{u}^{\mathrm{2}} −\mathrm{2}{v}^{\mathrm{2}} =\mathrm{7} \\…

Prove-that-a-group-G-of-prime-order-is-cyclic-

Question Number 193339 by Rajpurohith last updated on 10/Jun/23 $${Prove}\:{that}\:{a}\:{group}\:{G}\:{of}\:{prime}\:{order}\:{is}\:{cyclic}. \\ $$$$ \\ $$ Answered by witcher3 last updated on 10/Jun/23 $$\mathrm{let}\:\mathrm{g}\in\mathrm{G}−\mathrm{e},\mathrm{existe}\:\mathrm{since}\:\mathrm{ord}\left(\mathrm{G}\right)=\mathrm{p}\geqslant\mathrm{2} \\ $$$$\mathrm{g}^{\mathrm{p}} =\mathrm{e}…

f-x-x-2-x-x-2-1-x-1-2x-1-x-1-thene-find-lim-x-1-f-x-

Question Number 193328 by mustafazaheen last updated on 10/Jun/23 $$\mathrm{f}\left(\mathrm{x}\right)=\begin{cases}{\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{x}}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\:;\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}\neq\mathrm{1}}\\{\mathrm{2x}+\mathrm{1};\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{1}}\end{cases} \\ $$$$\mathrm{thene}\:\mathrm{find}\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}{f}\left({x}\right)=? \\ $$ Answered by cortano12 last updated on 10/Jun/23 $$\:\:\underset{{x}\rightarrow\mathrm{1}}…