Question Number 205334 by cortano12 last updated on 17/Mar/24 Commented by Ghisom last updated on 17/Mar/24 $${x}^{\mathrm{2}} −\frac{\mathrm{5}}{\mathrm{2}}{x}^{\mathrm{3}/\mathrm{2}} +\mathrm{2}{x}−\frac{\mathrm{5}}{\mathrm{4}}{x}^{\mathrm{1}/\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{4}}=\mathrm{0} \\ $$$$\left({x}−\mathrm{2}{x}^{\mathrm{1}/\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}\right)\left({x}−\frac{\mathrm{1}}{\mathrm{2}}{x}^{\mathrm{1}/\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}\right)=\mathrm{0} \\…
Question Number 205335 by Lindemann last updated on 17/Mar/24 $$\int\frac{{ax}+{b}}{\left({x}^{\mathrm{2}} −{cx}+{d}\right)^{{n}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205324 by hardmath last updated on 16/Mar/24 $$\mathrm{Compare}: \\ $$$$\mathrm{37}^{\mathrm{37}} \:\:\:\mathrm{and}\:\:\:\mathrm{36}^{\mathrm{38}} \\ $$ Answered by nikif99 last updated on 16/Mar/24 $$\mathrm{37}^{\mathrm{37}} \:\lessgtr\:\mathrm{36}^{\mathrm{38}} \:\Rightarrow…
Question Number 205321 by gopikrishnan last updated on 16/Mar/24 $$\overset{\rightarrow} {{a}}=\hat {{i}}+\mathrm{3}\hat {{j}}+\mathrm{4}\hat {{k}}\:\overset{\rightarrow} {{b}}=\mathrm{2}\hat {{i}}−\mathrm{3}\hat {{j}}+\mathrm{4}\hat {{k}}\:\overset{\rightarrow} {{c}}=\mathrm{5}\hat {{i}}−\mathrm{2}\hat {{j}}+\mathrm{4}\hat {{k}}\:{given}\:{that}\:\overset{\rightarrow} {{p}}×\overset{\rightarrow} {{b}}=\overset{\rightarrow} {{b}}×\overset{\rightarrow}…
Question Number 205323 by liuxinnan last updated on 16/Mar/24 $${If}\:\:\:\:{log}_{\sqrt{\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }{\mathrm{2}}}} \frac{{a}+{b}}{{b}}\geqslant{log}_{\sqrt{{ab}}} \frac{\mathrm{2}}{\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}} \\ $$$${when}\:{a}>\mathrm{1}\:{b}>\mathrm{1} \\ $$ Commented by liuxinnan last updated on 17/Mar/24…
Question Number 205332 by SANOGO last updated on 16/Mar/24 $${determin} \\ $$$$\left.{a}\right)\:\underset{{n}\epsilon{N}^{\ast} } {{U}}\left(\mathrm{1},\frac{\mathrm{1}}{{n}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205318 by Wiz last updated on 16/Mar/24 $$\left.\overset{\left.\overset{} {\right]}\left.\right]\measuredangle} {\right]} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205319 by saifu018 last updated on 16/Mar/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 205294 by depressiveshrek last updated on 15/Mar/24 $$\int\sqrt[{\mathrm{3}}]{\mathrm{3}{x}−{x}^{\mathrm{3}} }{dx} \\ $$ Answered by Frix last updated on 15/Mar/24 $$\int\left(\mathrm{3}{x}−{x}^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} {dx}\:\overset{{t}=\frac{{x}^{\mathrm{2}} }{\mathrm{3}}} {=}\:\frac{\mathrm{3}}{\mathrm{2}}\int{t}^{−\frac{\mathrm{1}}{\mathrm{3}}}…
Question Number 205306 by peter frank last updated on 15/Mar/24 Answered by A5T last updated on 15/Mar/24 $$\mathrm{2}\left(\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{xy}\right)=\mathrm{450}\Rightarrow\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{xy}=\mathrm{225} \\ $$$$\Rightarrow{y}=\frac{\mathrm{225}−\mathrm{3}{x}^{\mathrm{2}} }{\mathrm{4}{x}}\Rightarrow{v}=\mathrm{3}{x}^{\mathrm{2}} {y}=\frac{\mathrm{3}{x}\left(\mathrm{225}−\mathrm{3}{x}^{\mathrm{2}} \right)}{\mathrm{4}}…