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Question Number 91595 by mahdi last updated on 01/May/20 $$\mathrm{what}'\mathrm{s}\:\mathrm{meaning}\:\mathrm{of}\:\left(\overset{.} {\mathrm{x}}\right)\:\mathrm{or}\:\left(\overset{..} {\mathrm{x}}\right)? \\ $$$$\mathrm{are}\:\left(\overset{.} {\mathrm{x}}\right)=\mathrm{x}'? \\ $$ Commented by mr W last updated on 01/May/20…
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Question Number 157104 by zakirullah last updated on 19/Oct/21 $${prove}\:\underset{\bigtriangleup{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\bigtriangleup{x}} −\mathrm{1}}{\bigtriangleup{x}}=\mathrm{1} \\ $$ Answered by puissant last updated on 19/Oct/21 $$\underset{\Delta{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\Delta{x}} −\mathrm{1}}{\Delta{x}}\:\sim\underset{\Delta{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}+\Delta{x}−\mathrm{1}}{\Delta{x}}=\mathrm{1}…
Question Number 157098 by mathocean1 last updated on 19/Oct/21 $${n}\:\in\:\mathbb{N}^{\ast} \:;\:{n}\:{is}\:{not}\:{a}\:{square}\:{of}\:{any} \\ $$$${integer}.\:{Show}\:{that}\:\sqrt{{n}}\:\notin\:{Q}\:. \\ $$ Answered by mindispower last updated on 19/Oct/21 $$\sqrt{{n}}=\frac{{p}}{{q}},\:{p} {q}=\mathrm{1}\Rightarrow \\…
Question Number 157087 by henderson last updated on 19/Oct/21
Question Number 157061 by mathocean1 last updated on 19/Oct/21 $$ \\ $$$${Show}\:{that}\:\forall\:{n}\:\in\:\mathbb{N},\: \\ $$$$\lfloor\left(\sqrt{{n}}+\sqrt{{n}+\mathrm{1}}\right)^{\mathrm{2}} \rfloor=\mathrm{4}{n}+\mathrm{1} \\ $$ Answered by apriadodir last updated on 19/Oct/21 $$\mathrm{answer}:…
Question Number 91509 by kikomssn@gmail.com last updated on 01/May/20 $${does}\:{anyone}\:{know}\:{Glauss}'\:{law}\:{for}\:{magnetism}?\:{tanks} \\ $$ Commented by jagoll last updated on 01/May/20 $${Gauss}\:{or}\:{Glauss}\:? \\ $$ Commented by Tony…
Question Number 25972 by mondodotto@gmail.com last updated on 17/Dec/17 Answered by rita1608 last updated on 17/Dec/17 $${differentiating}\:{on}\:{both}\:{sides}\: \\ $$$${we}\:{get}\:\frac{{d}}{{dx}}\left({logx}^{\mathrm{2}} \right)=\frac{\mathrm{1}}{\mathrm{25}} \\ $$$$\:\:\:\:\:\:\:\:\frac{\mathrm{1}}{{x}^{\mathrm{2}} }×\mathrm{2}{x}=\frac{\mathrm{1}}{\mathrm{25}} \\ $$$$\:\:\:\:\:\:\:\:\frac{\mathrm{2}}{{x}}=\frac{\mathrm{1}}{\mathrm{25}}…
Question Number 91500 by kikomssn@gmail.com last updated on 01/May/20 $${v}=\pi\int_{\mathrm{1}} ^{\mathrm{4}} \left[\left(\frac{\mathrm{1}}{\mathrm{4}}.{x}^{\mathrm{2}} \right)^{\mathrm{2}} {dx}\right. \\ $$ Commented by john santu last updated on 01/May/20 $$=\:\frac{\pi}{\mathrm{16}}×\frac{\mathrm{1}}{\mathrm{5}}×\left(\mathrm{4}^{\mathrm{5}}…