Question Number 128105 by snipers237 last updated on 04/Jan/21 $${Let}\:{f}\:\:\:\mathbb{N}^{\ast} \rightarrow\mathbb{N}^{\ast} \:{a}\:{bijection}\: \\ $$$${Prove}\:{that}\:\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{f}\left({k}\right)\geqslant\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 128005 by mnjuly1970 last updated on 03/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:….{nice}\:\:\:{calculus}… \\ $$$$\:\:{if}\:\:{b}>{a}>\mathrm{0}\:{then}\:{prove}\::: \\ $$$$\:\:\:\:\:\:\:\:\frac{{a}+{b}}{\mathrm{2}}>\:\frac{{b}−{a}}{{ln}\left({b}\right)−{ln}\left({a}\right)}\:>\:\sqrt{{ab}}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:………………………. \\ $$ Answered by mindispower last updated on 06/Jan/21…
Question Number 62438 by mathsolverby Abdo last updated on 21/Jun/19 $${splve}\:{x}^{\mathrm{2}} {y}^{''} \:−\left({x}+\mathrm{1}\right){y}'\:\:\:=\left({x}+\mathrm{1}\right){e}^{−{x}} \\ $$$$ \\ $$$$ \\ $$ Commented by mathmax by abdo last…
Question Number 127929 by mnjuly1970 last updated on 03/Jan/21 $$ \\ $$$$\:\:\:\:\:\:\phi=\int_{\mathrm{1}} ^{\:\infty} \frac{{x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}}{{x}\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{dx}=? \\ $$ Answered by Ar Brandon last updated…
Question Number 127839 by mnjuly1970 last updated on 02/Jan/21 $$\:\:\: \\ $$$${if}\:\:\Omega\:=\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\left(\frac{\Gamma\left(\frac{\mathrm{1}}{\mathrm{2}}−{x}\right)\Gamma\left({x}−\frac{\mathrm{1}}{\mathrm{2}}\right)}{\Gamma\left(\mathrm{2}−\frac{{x}}{\mathrm{2}}\right)\left(\frac{{x}}{\mathrm{2}}−\mathrm{1}\right)}\right){dx} \\ $$$$\:\:{find}\:\:\:\:\frac{{Re}\left(\Omega\right)}{{Im}\left(\Omega\right)}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62291 by rajesh4661kumar@gamil.com last updated on 19/Jun/19 Commented by maxmathsup by imad last updated on 19/Jun/19 $$\Rightarrow\left({e}^{{x}} −\mathrm{1}\right){e}^{{y}} \:={e}^{{x}} \:\Rightarrow{e}^{{y}} \:=\frac{{e}^{{x}} }{{e}^{{x}} −\mathrm{1}}\:\Rightarrow{y}\:={ln}\left(\frac{{e}^{{x}}…
Question Number 127731 by Tosin Okunowo last updated on 01/Jan/21 $$\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} \:……..\left[\mathrm{1}\right] \\ $$$$\mathrm{At}\:\mathrm{Q},\:\mathrm{y}\:+\:\delta\mathrm{y}\:=\:\left(\mathrm{x}+\delta\mathrm{x}\right)^{\mathrm{2}} \\ $$$$\mathrm{y}+\delta\mathrm{y}\:=\:\mathrm{x}^{\mathrm{2}} +\mathrm{2x}.\delta\mathrm{x}+\left(\delta\mathrm{x}\right)^{\mathrm{2}} …..\left[\mathrm{2}\right] \\ $$$$\mathrm{Subtracting}\:\left[\mathrm{1}\right]\:\mathrm{from}\:\left[\mathrm{2}\right] \\ $$$$\mathrm{y}+\delta\mathrm{y}=\:\mathrm{x}^{\mathrm{2}} +\mathrm{2x}.\delta\mathrm{x}+\left(\delta\mathrm{x}\right)^{\mathrm{2}} \\ $$$$\mathrm{y}\:\:\:\:\:\:\:\:\:=\:\mathrm{x}^{\mathrm{2}}…
Question Number 127715 by snipers237 last updated on 01/Jan/21 $$\:\int_{\frac{\pi}{\mathrm{2}}} ^{\frac{\mathrm{2}\pi}{\mathrm{3}}} \:\:\frac{\left({argshx}\right)^{\mathrm{2}} }{\mathrm{2}{cosx}}\:{dx}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 127649 by mnjuly1970 last updated on 31/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{nice}\:\:{calculus}… \\ $$$$\:\:\:\:{calculate}:: \\ $$$$\:\:\:\:\:\emptyset=\int_{\mathrm{0}} ^{\:\infty} {arctan}\left(\frac{\mathrm{1}}{{x}}\right).{sin}\left({x}\right){dx}=? \\ $$$$ \\ $$ Answered by mindispower last updated…
Question Number 127637 by sdfg last updated on 31/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com