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proof-that-if-R-is-a-commetative-ring-with-unity-then-an-ideal-M-and-R-is-maximal-iff-R-M-is-a-field-

Question Number 134831 by abdurehime last updated on 07/Mar/21 $${proof}\:{that}\:{if}\:\mathrm{R}\:\mathrm{is}\:\mathrm{a}\:\mathrm{commetative}\:\mathrm{ring}\:\mathrm{with}\:\mathrm{unity}\:\mathrm{then}\:\mathrm{an}\:\mathrm{ideal}\: \\ $$$$\mathrm{M}\:\mathrm{and}\:\mathrm{R}\:\mathrm{is}\:\mathrm{maximal}\:\mathrm{iff}\:\frac{\mathrm{R}}{\mathrm{M}}\:\mathrm{is}\:\mathrm{a}\:\mathrm{field}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-69293

Question Number 69293 by A8;15: last updated on 22/Sep/19 Commented by MJS last updated on 22/Sep/19 $$\mathrm{great},\:\mathrm{you}'\mathrm{ve}\:\mathrm{been}\:\mathrm{faster}\:\mathrm{than}\:\mathrm{me} \\ $$$$\mathrm{but}\:\mathrm{also}\:{x}=\mathrm{0}\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution} \\ $$ Commented by Rasheed.Sindhi last…

Question-134820

Question Number 134820 by 0731619177 last updated on 07/Mar/21 Answered by Ar Brandon last updated on 07/Mar/21 $$\mathcal{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{xyz}}{\left(\mathrm{x}+\mathrm{y}\right)\left(\mathrm{x}+\mathrm{z}\right)\left(\mathrm{z}+\mathrm{y}\right)}\mathrm{dxdydz} \\…

Question-134822

Question Number 134822 by abdurehime last updated on 07/Mar/21 Answered by greg_ed last updated on 07/Mar/21 $$\mathrm{p}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{4}} −\sqrt{{x}}}{\:\sqrt{{x}}−\mathrm{1}} \\ $$$$\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{L}}'\boldsymbol{\mathrm{Hopital}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{rule}} \\ $$$$\mathrm{p}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{4}{x}^{\mathrm{3}} −\frac{\mathrm{1}}{\mathrm{2}\sqrt{{x}}}}{\frac{\mathrm{1}}{\mathrm{2}\:\sqrt{{x}}}}\:…

1-2-1-cosh-t-dt-

Question Number 134812 by mohammad17 last updated on 07/Mar/21 $$\int\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{1}+{cosh}\left({t}\right)\right.}\:\:{dt} \\ $$ Answered by mathmax by abdo last updated on 07/Mar/21 $$\mathrm{I}=\int\sqrt{\frac{\mathrm{1}+\mathrm{ch}\left(\mathrm{t}\right)}{\mathrm{2}}}\mathrm{dt}\:=\int\sqrt{\mathrm{ch}^{\mathrm{2}} \left(\frac{\mathrm{t}}{\mathrm{2}}\right)}\mathrm{dt}\:=\int\:\mathrm{ch}\left(\frac{\mathrm{t}}{\mathrm{2}}\right)\mathrm{dt} \\ $$$$=\mathrm{2sh}\left(\frac{\mathrm{t}}{\mathrm{2}}\right)\:+\mathrm{C}…

f-x-k-1-n-x-k-1-find-the-values-of-x-such-that-f-x-is-minumum-2-fund-the-roots-of-f-x-m-0-as-example-you-can-set-n-100-m-2500-

Question Number 69276 by mr W last updated on 22/Sep/19 $${f}\left({x}\right)=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\mid{x}+{k}\mid \\ $$$$\left(\mathrm{1}\right)\:{find}\:{the}\:{values}\:{of}\:{x}\:{such}\:{that}\:{f}\left({x}\right)\: \\ $$$${is}\:{minumum}. \\ $$$$\left(\mathrm{2}\right)\:{fund}\:{the}\:{roots}\:{of}\:{f}\left({x}\right)−{m}=\mathrm{0} \\ $$$$ \\ $$$${as}\:{example}\:{you}\:{can}\:{set}\:{n}=\mathrm{100},\:{m}=\mathrm{2500}. \\ $$…