Question Number 12275 by @ANTARES_VY last updated on 17/Apr/17 $$\oint\left(\boldsymbol{\mathrm{x}}\right)=\frac{\boldsymbol{\mathrm{x}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}}.\:\:\:\:\:\oint'\left(\mathrm{2}\right)=?. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77810 by jagoll last updated on 10/Jan/20 $${what}\:{is}\:{minimum}\:{value} \\ $$$${of}\:{function}\:{f}\left({x}\right)= \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\:+\sqrt{{x}^{\mathrm{2}} −\mathrm{24}{x}+\mathrm{153}} \\ $$ Answered by MJS last updated on 10/Jan/20…
Question Number 143231 by mnjuly1970 last updated on 11/Jun/21 $$…..{mathematical}\:……{Analysis}…. \\ $$$$\:{if}\:::\:\:\:\boldsymbol{\phi}\left({n}\right):=\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}^{\mathrm{2}{n}−\mathrm{1}} {log}\left(\mathrm{1}+{x}\right){dx} \\ $$$$\:{then}\:\:{find}\:\:{the}\:{value}\:{of}\:\:::\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\Theta:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \boldsymbol{\phi}\left({n}\right)\: \\ $$$$\:\:\:\:\:\:…….{m}.{n} \\…
Question Number 12155 by tawa last updated on 15/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{35th}\:\mathrm{derivative}\:\mathrm{of}\:\:\left(\mathrm{2x}^{\mathrm{3}} \:+\:\mathrm{5x}^{\mathrm{4}} \right)^{\mathrm{60}} \\ $$ Answered by mrW1 last updated on 15/Apr/17 $${y}=\left(\mathrm{2}{x}^{\mathrm{3}} +\mathrm{5}{x}^{\mathrm{4}} \right)^{\mathrm{60}} =\underset{{k}=\mathrm{0}}…
Question Number 77605 by lémùst last updated on 08/Jan/20 $$\mathrm{how}\:\mathrm{to}\:\mathrm{solve}\:: \\ $$$$\mathrm{y}''+\mathrm{p}\left(\mathrm{x}\right)\mathrm{y}'+\mathrm{q}\left(\mathrm{x}\right)\mathrm{y}=\mathrm{r}\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143113 by qaz last updated on 10/Jun/21 $$\mathrm{x}^{\mathrm{3}} =\frac{\mathrm{1}}{\mathrm{3}!}\int_{\mathrm{0}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{x}−\mathrm{t}\right)\mathrm{f}\left(\mathrm{t}\right)\mathrm{dt} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=? \\ $$ Commented by mr W last updated on 10/Jun/21…
Question Number 77574 by jagoll last updated on 08/Jan/20 $${what}\:{is}\:{maximum}\: \\ $$$${value}\:{of}\:{y}=\:\left(\mathrm{3}{x}+\mathrm{4}\right)^{\mathrm{2}} ×\mathrm{sin}\:\left(\mathrm{2}{x}\right) \\ $$ Commented by MJS last updated on 08/Jan/20 $$\mathrm{sin}\:\mathrm{2}{x}\:=−\mathrm{1}\:\Rightarrow\:{x}={n}\pi−\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}−\mathrm{1}}{\mathrm{4}}\pi \\ $$$$\mathrm{sin}\:\mathrm{2}{x}\:=+\mathrm{1}\:\Rightarrow\:{x}={n}\pi+\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}+\mathrm{1}}{\mathrm{4}}\pi…
Question Number 143109 by mnjuly1970 last updated on 10/Jun/21 Commented by mnjuly1970 last updated on 10/Jun/21 $$\:\:\:\:\:{prove}\:\:\mathrm{I}_{\mathrm{1}} =−\frac{\pi^{\mathrm{2}} }{\mathrm{192}}\:\:…..? \\ $$ Answered by qaz last…
Question Number 143086 by mnjuly1970 last updated on 09/Jun/21 $$ \\ $$$$\:\:{Evaluate}\::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\Omega:=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{{ln}\left({tan}\left({x}\right)\right).{sin}^{\pi^{{e}} } \left(\mathrm{2}{x}\right)}{\left({sin}^{\pi^{{e}} } \left({x}\right)+{cos}^{\pi^{{e}} } \left({x}\right)\right)^{\mathrm{2}} }{dx} \\ $$$$…
Question Number 77537 by john santu last updated on 07/Jan/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{solution}\: \\ $$$$\mathrm{xy}'+\left(\mathrm{1}+\mathrm{xcot}\:\mathrm{x}\right)\mathrm{y}=\mathrm{x}\:? \\ $$ Answered by mr W last updated on 07/Jan/20 $${y}'+\left(\frac{\mathrm{1}}{{x}}+\frac{\mathrm{cos}\:{x}}{\mathrm{sin}\:{x}}\right){y}=\mathrm{1} \\…