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Question-12814

Question Number 12814 by syambabu087@gmail.com last updated on 02/May/17 Commented by FilupS last updated on 02/May/17 $${x}\left({y}^{{n}} −{y}\right)+\frac{{dy}}{{dx}}=\mathrm{0} \\ $$$$\frac{{dy}}{{dx}}=−{x}\left({y}^{{n}} −{y}\right) \\ $$$$\frac{\mathrm{1}}{{y}^{{n}} −{y}}\:\frac{{dy}}{{dx}}=−{x} \\…

Question-12812

Question Number 12812 by tawa last updated on 01/May/17 Answered by sandy_suhendra last updated on 02/May/17 $$\left.\mathrm{1}\right)\:\mathrm{V}=\pi\mathrm{r}^{\mathrm{2}} \mathrm{t} \\ $$$$\:\:\:\:\:\mathrm{350}=\mathrm{3}.\mathrm{14}×\mathrm{r}^{\mathrm{2}} ×\mathrm{8}.\mathrm{5} \\ $$$$\:\:\:\:\:\mathrm{r}^{\mathrm{2}} =\mathrm{13}.\mathrm{11} \\…

sppose-that-R-be-aring-and-we-have-the-ring-R-Z-prove-that-R-0-it-was-ideal-in-R-Z-and-prove-0-Z-be-isomorphic-in-Z-and-if-a-R-identity-element-a-

Question Number 78342 by mhmd last updated on 16/Jan/20 $${sppose}\:{that}\:\left({R},+,.\right){be}\:{aring}\:{and}\:{we}\:{have}\:{the}\:{ring}\:\left({R}×{Z},+^{'\:} ,.^{'} \right)\:{prove}\:{that}\:\left({R}×\mathrm{0},+^{'} ,.'\right)\:{it}\:{was}\:{ideal}\:{in}\:\left({R}×{Z},+^{'} ,.^{'} \right) \\ $$$${and}\:{prove}\:\left(\mathrm{0}×{Z},+,.\right){be}\:{isomorphic}\:{in}\:\left({Z},+,.\right) \\ $$$${and}\:{if}\:{a}\in{R}\:{identity}\:{element}\:\left({a}^{\mathrm{2}} ={a}\right){prove}\:{that}\:\left(−{a},\mathrm{1}\right){be}\:{identity}\:{element}\:{in}\:{the}\:{ring}\:\left({R}×{Z},+^{'} ,.^{'} \right) \\ $$$${pleas}\:{sir}\:{help}\:{me}\:{am}\:{neding}\:{this}\:{pleas}? \\…

Let-a-b-c-gt-0-and-c-2-ab-bc-ca-3-Prove-that-a-3-b-3-2c-3-a-3-b-3-c-3-3-a-2-b-2-2c-2-a-2-b-2-c-2-

Question Number 78340 by loveineq. last updated on 16/Jan/20 $$\mathrm{Let}\:\:{a},{b},{c}\:>\:\mathrm{0}\:\:\mathrm{and}\:\:{c}^{\mathrm{2}} \:=\:\frac{{ab}+{bc}+{ca}}{\mathrm{3}}\:.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} −\mathrm{2}{c}^{\mathrm{3}} }{{a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} }\:\leqslant\:\mathrm{3}\left(\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −\mathrm{2}{c}^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }\right)…

y-2xy-

Question Number 143878 by akmalovna05 last updated on 19/Jun/21 $$\mathrm{y}'''=\mathrm{2xy}'' \\ $$ Answered by Ar Brandon last updated on 19/Jun/21 $$\mathrm{y}'''=\mathrm{2xy}''\Rightarrow\frac{\mathrm{y}'''}{\mathrm{y}''}=\mathrm{2x}\Rightarrow\mathrm{ln}\left(\mathrm{y}''\right)=\mathrm{x}^{\mathrm{2}} \Rightarrow\mathrm{y}''=\mathrm{e}^{\mathrm{x}^{\mathrm{2}} } \\ $$…

Question-12801

Question Number 12801 by tawa last updated on 01/May/17 Answered by sandy_suhendra last updated on 01/May/17 $$\left.\mathrm{1}\right)\:\mathrm{molar}\:\mathrm{gas}\:=\:\frac{\mathrm{2}.\mathrm{8}}{\mathrm{22}.\mathrm{4}}\:=\:\mathrm{0}.\mathrm{125}\:\mathrm{mol} \\ $$$$\mathrm{molar}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{gas}\:=\:\frac{\mathrm{8}}{\mathrm{0}.\mathrm{125}}\:=\:\mathrm{64}\:\mathrm{gram}/\mathrm{mol} \\ $$$$\mathrm{vapour}\:\mathrm{density}\:=\:\frac{\mathrm{molar}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{gas}}{\mathrm{molar}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{H}_{\mathrm{2}} }\:=\:\frac{\mathrm{64}}{\mathrm{2}}\:=\mathrm{32}\:\:\:\:\: \\ $$$$\left.\mathrm{2}\right)\:\mathrm{Mg}\:+\:\mathrm{2HCl}\:\rightarrow\:\mathrm{MgCl}_{\mathrm{2}} \:+\:\mathrm{H}_{\mathrm{2}}…