Question Number 10912 by geovane10math last updated on 01/Mar/17 $$\mathrm{5}^{\mathrm{log}_{\mathrm{2}} \mathrm{3}} \:\mathrm{is}\:\mathrm{transcendental}? \\ $$$$\mathrm{General}: \\ $$$$\mathrm{Let}\:{a},{b}\:\mathrm{and}\:{c}\:\mathrm{algebraic}\:\mathrm{and}\:\mathrm{log}_{{b}} {c}\: \\ $$$$\mathrm{transcendental}.\:\mathrm{If}\:{a}^{\mathrm{log}_{{b}} {c}} \:\mathrm{is}\:\mathrm{algebraic},\:\mathrm{so} \\ $$$${b}\:=\:{a}^{{q}} ,\:\mathrm{with}\:{q}\:\mathrm{rational}? \\…
Question Number 141983 by Panacea last updated on 25/May/21 Commented by Panacea last updated on 25/May/21 $$\mathrm{plse}\:\mathrm{sol}… \\ $$$$ \\ $$ Terms of Service Privacy…
Question Number 76445 by john santu last updated on 27/Dec/19 $${how}\:{evaluate}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{\mathrm{1}−\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }×\mathrm{cos}\:{x}}{{x}^{\mathrm{4}} }\right). \\ $$ Commented by JDamian last updated on 27/Dec/19 $${What}\:{if}\:{you}\:{use}\:{L}'{Hopital}'{s}\:{rule}? \\…
Question Number 10908 by ketto last updated on 01/Mar/17 Answered by geovane10math last updated on 01/Mar/17 $${DE}\:\mathrm{must}\:\mathrm{be}\://\:\mathrm{with}\:{BC} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 76442 by aliesam last updated on 27/Dec/19 Answered by Tanmay chaudhury last updated on 28/Dec/19 $${x}={tana}\:\:\:\:{dx}={sec}^{\mathrm{2}} {ada} \\ $$$${sec}^{−\mathrm{1}} \left(\frac{\mathrm{1}+{tan}^{\mathrm{2}} {a}}{\mathrm{1}−{tan}^{\mathrm{2}} {a}}\right)\rightarrow{sec}^{−\mathrm{1}} \left({sec}\mathrm{2}{a}\right)=\mathrm{2}{a}…
Question Number 10907 by j.masanja06@gmail.com last updated on 01/Mar/17 $$\mathrm{express}\:\mathrm{in}\:\mathrm{partial}\:\mathrm{fraction} \\ $$$$\frac{\mathrm{3x}+\mathrm{2}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)\left(\mathrm{x}+\mathrm{1}\right)} \\ $$ Answered by sandy_suhendra last updated on 01/Mar/17 $$=\frac{\mathrm{3x}+\mathrm{2}}{\left(\mathrm{x}+\mathrm{1}\right)\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}+\mathrm{1}\right)}=\frac{\mathrm{3x}+\mathrm{2}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}−\mathrm{1}\right)} \\…
Question Number 76443 by aliesam last updated on 27/Dec/19 Answered by mr W last updated on 27/Dec/19 $${x}+{y}=\mathrm{2}{a} \\ $$$${xy}=\frac{\left({b}^{\mathrm{2}} −\mathrm{1}\right){a}^{\mathrm{2}} }{{b}^{\mathrm{2}} } \\ $$$${x}\left(\mathrm{2}{a}−{x}\right)=\frac{\left({b}^{\mathrm{2}}…
Question Number 10906 by niraj last updated on 01/Mar/17 $${Q}\:.\:\:{smallest}\:{positive}\:{x}\:{satisfying}\:{the}\:{equation} \\ $$$${sin}\mathrm{3}{x}+\mathrm{3}{cosx}=\mathrm{2}{sin}\mathrm{2}{x}\left({sinx}+{cosx}\right)\:,\:{is} \\ $$ Commented by niraj last updated on 02/Mar/17 $${sir}\:{answer}\:{please} \\ $$ Answered…
Question Number 76438 by john santu last updated on 27/Dec/19 $${given}\:{N}\:=\frac{\mathrm{4}}{\left(\sqrt{\mathrm{5}}+\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{4}}} +\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{8}}} +\mathrm{1}\right)\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)} \\ $$$${find}\:{value}\:{of}\:\left({N}+\mathrm{1}\right)^{\mathrm{48}} . \\ $$ Answered by mr W last updated…
Question Number 10903 by Nadium last updated on 01/Mar/17 Terms of Service Privacy Policy Contact: info@tinkutara.com