Question Number 69297 by ajfour last updated on 22/Sep/19 Commented by ajfour last updated on 22/Sep/19 $${If}\:{the}\:{graph}\:{is}\:{a}\:{cubic} \\ $$$$\:\:\:\:{y}={x}^{\mathrm{3}} +{ax}^{\mathrm{2}} +{bx}+{c} \\ $$$${find}\:{point}\:{of}\:{intersection}\:{of} \\ $$$${the}\:{red}\:{and}\:{blue}\:{lines}.…
Question Number 134828 by liberty last updated on 09/Mar/21 $$\underset{\mathrm{0}} {\int}^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin}\:\left(\frac{\mathrm{2}{x}}{\mathrm{3}}\right)}{\mathrm{tan}\:\left({x}\right)}\:{dx}\:=?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 134831 by abdurehime last updated on 07/Mar/21 $${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 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 Number 134820 by 0731619177 last updated on 07/Mar/21 Answered by Ar Brandon last updated on 07/Mar/21 $$\mathcal{I}=\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{xyz}}{\left(\mathrm{x}+\mathrm{y}\right)\left(\mathrm{x}+\mathrm{z}\right)\left(\mathrm{z}+\mathrm{y}\right)}\mathrm{dxdydz} \\…
Question Number 134822 by abdurehime last updated on 07/Mar/21 Answered by greg_ed last updated on 07/Mar/21 $$\mathrm{p}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{4}} −\sqrt{{x}}}{\:\sqrt{{x}}−\mathrm{1}} \\ $$$$\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{L}}'\boldsymbol{\mathrm{Hopital}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{rule}} \\ $$$$\mathrm{p}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{4}{x}^{\mathrm{3}} −\frac{\mathrm{1}}{\mathrm{2}\sqrt{{x}}}}{\frac{\mathrm{1}}{\mathrm{2}\:\sqrt{{x}}}}\:…
Question Number 134817 by bramlexs22 last updated on 07/Mar/21 $$ \\ $$What is the maximum value of abc if a+b+c = 5 and ab+bc+ca =…
Question Number 134812 by mohammad17 last updated on 07/Mar/21 $$\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} \\ $$$$=\mathrm{2sh}\left(\frac{\mathrm{t}}{\mathrm{2}}\right)\:+\mathrm{C}…
Question Number 69276 by mr W last updated on 22/Sep/19 $${f}\left({x}\right)=\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\mid{x}+{k}\mid \\ $$$$\left(\mathrm{1}\right)\:{find}\:{the}\:{values}\:{of}\:{x}\:{such}\:{that}\:{f}\left({x}\right)\: \\ $$$${is}\:{minumum}. \\ $$$$\left(\mathrm{2}\right)\:{fund}\:{the}\:{roots}\:{of}\:{f}\left({x}\right)−{m}=\mathrm{0} \\ $$$$ \\ $$$${as}\:{example}\:{you}\:{can}\:{set}\:{n}=\mathrm{100},\:{m}=\mathrm{2500}. \\ $$…
Question Number 134814 by Ndala last updated on 07/Mar/21 Commented by Ndala last updated on 07/Mar/21 $$\mathrm{I}\:\mathrm{need}\:\mathrm{your}\:\mathrm{help}\:\mathrm{my}\:\mathrm{friends}! \\ $$ Answered by Ar Brandon last updated…