Question Number 180364 by peter frank last updated on 11/Nov/22 Answered by Acem last updated on 11/Nov/22 $${S}_{\mathrm{1}} =\:\mathrm{150}\:\mathrm{log}_{\mathrm{5}} \:\frac{{m}}{\mathrm{3}}=\:\mathrm{150}\:\mathrm{log}_{\mathrm{5}} \:\mathrm{5}^{\mathrm{2}} =\:\mathrm{300}\:=\:{S}_{\mathrm{2}} \\ $$ Terms…
Question Number 180363 by peter frank last updated on 11/Nov/22 Answered by mr W last updated on 11/Nov/22 $${t}={y}^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$${y}={t}^{\mathrm{2}} \\ $$$$\left(\frac{\mathrm{2}\:\mathrm{log}\:{t}}{\mathrm{log}\:\mathrm{3}}\right)^{\mathrm{2}} −\mathrm{log}\:{t}−\frac{\mathrm{3}}{\mathrm{2}}=\mathrm{0} \\…
Question Number 49294 by peter frank last updated on 05/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 05/Dec/18 $${common}\:{root}\:{is}\:{k} \\ $$$${k}^{\mathrm{2}} +{ak}+{b}=\mathrm{0} \\ $$$${ck}^{\mathrm{2}} +\mathrm{2}{ak}−\mathrm{3}{b}=\mathrm{0} \\…
Question Number 49236 by cesar.marval.larez@gmail.com last updated on 04/Dec/18 $${Let}\:{K}\:{be}\:{a}\:{field}\:{and}\:{a},{b}\in{K}.\:{Show}\: \\ $$$${that}\:\left({x}−{a}\right)\left({x}−{b}\right)\:{if}\:{and}\:{only}\:{if}\:{a}={b} \\ $$ Commented by kaivan.ahmadi last updated on 05/Dec/18 $$\left(\mathrm{x}−\mathrm{a}\right)\left(\mathrm{x}−\mathrm{b}\right)=? \\ $$ Commented…
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Question Number 180106 by cherokeesay last updated on 07/Nov/22 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\sqrt{{x}^{\mathrm{2}} +{x}}−{x} \\ $$ Answered by a.lgnaoui last updated on 07/Nov/22 $$\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:−\mathrm{x}=\frac{\left(\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:−\mathrm{x}\right)\left(\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:+\mathrm{x}\right)}{\:\sqrt{\mathrm{x}^{\mathrm{2}}…
Question Number 49014 by peter frank last updated on 01/Dec/18 Commented by peter frank last updated on 01/Dec/18 $$\mathrm{7b}\:\mathrm{8a}\:\mathrm{8b} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 49006 by peter frank last updated on 01/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18 $$\overset{\rightarrow} {{V}}={iV}_{{x}} +{jV}_{{y}} =\mathrm{12}{i}+\mathrm{8}{j} \\ $$$$\mid\overset{\rightarrow} {{V}}\mid=\sqrt{\left(\mathrm{12}\right)^{\mathrm{2}} +\left(\mathrm{8}\right)^{\mathrm{2}}…
Question Number 48983 by peter frank last updated on 30/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18 $$\left({x}−\mathrm{0}\right)^{\mathrm{2}} +\left({y}−\mathrm{0}\right)^{\mathrm{2}} =\mathrm{4}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}+{y}^{\mathrm{2}} −\mathrm{4}{y}+\mathrm{4}=\mathrm{5} \\…
Question Number 48981 by peter frank last updated on 30/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18 $$\left.\mathrm{1}\right)\frac{{dy}}{{dx}}={y}\leftarrow{ordinate} \\ $$$$\frac{{dy}}{{y}}={dx}\:\:{so}\:\int\frac{{dy}}{{y}}=\int{dx} \\ $$$${lny}={x}+{lnc} \\ $$$${ln}\left(\frac{{y}}{{c}}\right)={x} \\…