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Author: Tinku Tara

i-m-Calculated-gauess-law-in-Gravity-Field-S-g-dS-g-x-y-z-Gmx-x-2-y-2-z-2-e-1-Gmy-x-2-y-2-z-2-e-2-Gmz-x-2-y-2-z-2-e-3-S-is-Clo

Question Number 199157 by MathedUp last updated on 30/Oct/23 $$\mathrm{i}'\mathrm{m}\:\mathrm{Calculated}\:\:\mathrm{gauess}\:\mathrm{law}\:\mathrm{in}\:\mathrm{Gravity}\:\mathrm{Field} \\ $$$$ \\ $$$$\int\int_{\:\boldsymbol{{S}}} \:\hat {\boldsymbol{\mathrm{g}}}\centerdot\mathrm{d}\hat {\boldsymbol{\mathrm{S}}} \\ $$$$\hat {\boldsymbol{\mathrm{g}}}\left({x},{y},{z}\right)=−\frac{{Gmx}}{\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} }}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{1}} −\frac{{Gmy}}{\:\sqrt{{x}^{\mathrm{2}}…

8-x-1-1-4-x-1-x-1-1-4-5-x-2-1-2-3-1-4-x-

Question Number 199159 by cortano12 last updated on 28/Oct/23 $$\:\sqrt[{\mathrm{4}}]{\mathrm{8}\left(\mathrm{x}+\mathrm{1}\right)}\:+\sqrt[{\mathrm{4}}]{\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}−\mathrm{1}}}\:=\sqrt[{\mathrm{4}}]{\mathrm{5}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} −\mathrm{3}}\: \\ $$$$\:\mathrm{x}=? \\ $$ Answered by Frix last updated on 28/Oct/23 $$\mathrm{You}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\…

Evaluate-S-F-dS-Where-f-x-y-x-2-3y-2-F-x-y-z-3xe-1-2ze-2-1-y-2-e-3-plane-with-vertices-0-0-2-0-and-2-4-Oriented-in-The-negative-z-Axies-direction-

Question Number 199122 by MathedUp last updated on 28/Oct/23 $$\mathrm{Evaluate}.\int\int_{\:\boldsymbol{\mathcal{S}}} \:\hat {\boldsymbol{\mathrm{F}}}\centerdot\mathrm{d}\hat {\boldsymbol{\mathrm{S}}} \\ $$$$\mathrm{Where}\:{f}\left({x},{y}\right)={x}^{\mathrm{2}} −\mathrm{3}{y}+\mathrm{2}\:\:, \\ $$$$\hat {\boldsymbol{\mathrm{F}}}\left({x},{y},{z}\right)=\mathrm{3}{x}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{1}} +\mathrm{2}{z}\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{2}} +\left(\mathrm{1}−{y}^{\mathrm{2}} \right)\hat {\boldsymbol{\mathrm{e}}}_{\mathrm{3}}…

a-2-b-73-b-2-a-73-find-a-b-

Question Number 199112 by hardmath last updated on 28/Oct/23 $$\begin{cases}{\mathrm{a}^{\mathrm{2}} \:−\:\mathrm{b}\:=\:\mathrm{73}}\\{\mathrm{b}^{\mathrm{2}} \:−\:\mathrm{a}\:=\:\mathrm{73}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\mathrm{a},\mathrm{b}\:=\:? \\ $$ Answered by mr W last updated on 28/Oct/23 $$\left({i}\right)−\left({ii}\right): \\ $$$${a}^{\mathrm{2}}…

Q-are-the-roots-of-the-following-equation-find-the-value-of-Eq-n-x-3-2x-2-x-2-0-E-

Question Number 199109 by mnjuly1970 last updated on 28/Oct/23 $$ \\ $$$$\:{Q}:\:\:\:\:\alpha\:,\:\beta\:,\gamma\:{are}\:{the}\:{roots}\:{of}\:{the}\:{following} \\ $$$$\:\:\:\:\:{equation}\:.\:{find}\:{the}\:{value}\:{of}: \\ $$$$ \\ $$$$\:\:\:\:\:{Eq}^{\:{n}} \::\:\:\:{x}^{\:\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} \:+\:{x}\:+\:\mathrm{2}=\mathrm{0} \\ $$$$\:\:\:{E}\:=\:\frac{\alpha}{\beta\:+\gamma}\:+\frac{\beta}{\alpha\:+\gamma}\:+\frac{\gamma}{\alpha+\:\beta} \\ $$$$…