Question Number 76904 by mpsicasa last updated on 31/Dec/19 $$\mathrm{montrer}\:\mathrm{que}: \\ $$$$\forall{x},{y},{z}>\mathrm{0}\:\:{x}^{\mathrm{3}} +\mathrm{2}{y}^{\mathrm{2}} +\mathrm{4}{z}\geqslant\mathrm{6}{xy}^{\mathrm{2}/\mathrm{3}} {z}^{\mathrm{1}/\mathrm{3}} \\ $$ Commented by mr W last updated on 31/Dec/19…
Question Number 142437 by mohammad17 last updated on 31/May/21 Answered by Dwaipayan Shikari last updated on 31/May/21 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{1}}{{n}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\sqrt{\frac{{n}}{{n}+{r}}}\: \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}}}{dx}\:\:\:\:\mathrm{1}+{x}={u}^{\mathrm{2}}…
Question Number 11365 by agni5 last updated on 22/Mar/17 $$\emptyset\left(\mathrm{n}\right)=\mathrm{n}−\mathrm{1}\:,\:\mathrm{n}\in\mathrm{Z}\:,\mathrm{where}\:\emptyset\:\mathrm{is}\:\mathrm{Eular}\:\mathrm{phi}\:\mathrm{function}. \\ $$$$\mathrm{True}\:\mathrm{or}\:\mathrm{false}\:.\mathrm{And}\:\mathrm{explain}\:\mathrm{it}\:. \\ $$ Commented by bahmanfeshki1 last updated on 22/Mar/17 $${if}\:{n}\:{be}\:{prime}\:{number}\:{is}\:{true}\:{otherwise} \\ $$$${is}\:{false} \\…
Question Number 142438 by rs4089 last updated on 31/May/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}−{x}}{{lnx}}{dx} \\ $$$${how}\:\:{many}\:{tricks}\:{solve}\:{this} \\ $$ Answered by Dwaipayan Shikari last updated on 31/May/21 $${log}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)…
Question Number 11364 by Joel576 last updated on 22/Mar/17 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\sqrt{\mathrm{1}\:+\:\mathrm{tan}\:{x}}\:−\:\sqrt{\mathrm{1}\:+\:\mathrm{sin}\:{x}}}{{x}^{\mathrm{3}} } \\ $$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 22/Mar/17 $$\frac{\sqrt{\mathrm{1}+{tgx}}−\sqrt{\mathrm{1}+{sinx}}}{{x}^{\mathrm{3}} }=\frac{\left(\mathrm{1}+{tgx}\right)−\left(\mathrm{1}+{sinx}\right)}{\left(\sqrt{\mathrm{1}+{tgx}}+\sqrt{\mathrm{1}+{sinx}}\right).{x}^{\mathrm{3}} }= \\…
Question Number 76898 by Maclaurin Stickker last updated on 31/Dec/19 Answered by mr W last updated on 31/Dec/19 Commented by mr W last updated on…
Question Number 11363 by uni last updated on 22/Mar/17 $$\mathrm{x}\in\mathrm{Z} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{log}_{\mathrm{3}} \left(\frac{\mathrm{x}−\mathrm{5}}{\mathrm{x}−\mathrm{2}}\right)\Rightarrow\Sigma\mathrm{x}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 142435 by mohammad17 last updated on 31/May/21 Commented by mohammad17 last updated on 31/May/21 $${how}\:{can}\:{solve}\:{this} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 142429 by Mathspace last updated on 31/May/21 $${calculate}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\frac{{log}^{{n}} {x}}{\mathrm{1}+{x}^{{n}} }{dx} \\ $$$${find}\:{nature}\:{of}\:{the}\:{serie}\:\Sigma{U}_{{n}} \\ $$ Answered by mathmax by abdo last…
Question Number 76892 by john santu last updated on 31/Dec/19 $$\mathcal{C}{alculate}\:\int\:\frac{\sqrt{\mathrm{9}−{x}^{\mathrm{2}} }}{{x}^{\mathrm{6}} }\:{dx}\:. \\ $$ Answered by jagoll last updated on 31/Dec/19 Answered by MJS…