Question Number 5782 by Rasheed Soomro last updated on 27/May/16 $$\mathrm{Why}\:\mathrm{x}+\mathrm{x}=\mathrm{2x}\:\:? \\ $$$$\mathrm{Explain}\:\mathrm{by}\:\mathrm{properties}/\mathrm{laws}. \\ $$ Answered by FilupSmith last updated on 27/May/16 $$\mathrm{if}\:\mathrm{you}\:\mathrm{have}\:\mathrm{a}\:\mathrm{basket}\:\mathrm{of} \\ $$$${x}\:\mathrm{apples}\:\mathrm{and}\:\mathrm{i}\:\mathrm{have}\:\mathrm{an}\:\mathrm{identical}\:\mathrm{basket}\:…
Question Number 136854 by Raxreedoroid last updated on 26/Mar/21 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\left(−\mathrm{1}\right)^{{k}+\mathrm{1}} {k}×\:^{{n}−\mathrm{1}} {C}_{{k}−\mathrm{1}} \right)=? \\ $$$$\:^{{n}} {C}_{{r}} =\frac{{n}!}{{r}!\left({n}−{r}\right)!} \\ $$ Commented by mr…
Question Number 71317 by aliesam last updated on 13/Oct/19 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\frac{\mid\mathrm{2}{x}−\mathrm{2}\mid−\mid\mathrm{2}{x}+\mathrm{2}\mid}{{x}} \\ $$ Commented by mathmax by abdo last updated on 13/Oct/19 $$={lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{\sqrt{\left(\mathrm{2}{x}−\mathrm{2}\right)^{\mathrm{2}} }−\sqrt{\left(\mathrm{2}{x}+\mathrm{2}\right)^{\mathrm{2}}…
Question Number 5780 by FilupSmith last updated on 27/May/16 $${at}\:{developers} \\ $$$${can}\:{we}\:{please}\:{have}\:{capital}\:{greek}\:{symbols}? \\ $$$$\mathrm{It}\:\mathrm{would}\:\mathrm{make}\:\mathrm{things}\:\mathrm{so}\:\mathrm{much}\:\mathrm{better} \\ $$$$\mathrm{when}\:\mathrm{writing}\:\mathrm{functions}\:<\mathrm{3} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 71314 by mathmax by abdo last updated on 13/Oct/19 $${find}\:\int_{−\mathrm{1}} ^{\mathrm{1}} {ln}\left(\sqrt{\mathrm{1}+{x}}+\sqrt{\mathrm{1}−{x}}\right){dx} \\ $$ Commented by mathmax by abdo last updated on 13/Oct/19…
Question Number 71315 by Rio Michael last updated on 13/Oct/19 $$\:{please}\:{anyone}\:{check}\:{Q}#\mathrm{71198} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5777 by FilupSmith last updated on 27/May/16 $$\exists{x}\in\mathbb{Z}^{+} :{x}={p}_{\mathrm{1}} {p}_{\mathrm{2}} …{p}_{{n}} \wedge\forall{p}\neq{x},\:{p}\in\mathbb{Z}^{+} \\ $$$$ \\ $$$${x}=\left({factors}\:{of}\:{p}_{\mathrm{1}} \right)\left({fact}.\:{p}_{\mathrm{2}} \right)…\left({fact}.\:{p}_{{n}} \right) \\ $$$$\mathrm{How}\:\mathrm{could}\:\mathrm{you}\:\mathrm{formally}\:\mathrm{write}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{you}\:\mathrm{can}\:\mathrm{write}\:{x}\:\mathrm{in}\:\mathrm{terms}…
Question Number 136850 by Dwaipayan Shikari last updated on 26/Mar/21 $$\underset{{n}=−\infty} {\overset{\infty} {\sum}}{a}^{\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}}} {b}^{\frac{{n}\left({n}−\mathrm{1}\right)}{\mathrm{2}}} =\mathrm{1}+\sqrt{\frac{\mathrm{2}{a}^{\mathrm{2}} }{\pi}}\int_{\mathrm{0}} ^{\infty} {e}^{−{t}^{\mathrm{2}} /\mathrm{2}} \left(\frac{\mathrm{1}−{a}\sqrt{{ab}}\:{cosh}\left(\sqrt{{log}\left({ab}\right)}\:{t}\right)}{{a}^{\mathrm{3}} {b}−\mathrm{2}{a}\sqrt{{ab}\:}\:{cosh}\left(\sqrt{{log}\left({ab}\right)}\:{t}\right)}\right){dt} \\ $$ Commented by…
Question Number 136844 by rs4089 last updated on 26/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 71311 by ajfour last updated on 13/Oct/19 Commented by ajfour last updated on 13/Oct/19 $${Assuming}\:{elastic}\:{collision},\: \\ $$$${find}\:{d}_{{max}} \:\:{and}\:{corresponding} \\ $$$${value}\:{for}\:{x}. \\ $$ Answered…