Category: Permutation and Combination

Question Number 146824 by alcohol last updated on 16/Jul/21 Answered by Olaf_Thorendsen last updated on 16/Jul/21 $$1-$$$$w=e^{\frac{2i\pi }{n}}$$$$\mathrm{Let}{z}_n=1+w+w^2+\dots w^{n-1}$$$${z}_{{n}}…

Question Number 145863 by bramlexs22 last updated on 09/Jul/21 Answered by mr W last updated on 09/Jul/21 Commented by mr W last updated on 09/Jul/21…

Question Number 145104 by imjagoll last updated on 02/Jul/21 $$\mathrm{If}\frac{!6}{\mathrm{x}}-!4=!\mathrm{x}\mathrm{then}\mathrm{x}=?$$ Answered by liberty last updated on 02/Jul/21 $$\Rightarrow 265-9x=x.(!x)$$$$testx=5$$$$\Rightarrow\mathrm{265}−\mathrm{45}\:=\:\mathrm{220}\:\wedge\:\mathrm{5}.\left(!\mathrm{5}\right)=\mathrm{5}×\mathrm{44}=\mathrm{220} \…

Question Number 79472 by jagoll last updated on 25/Jan/20 $$\mathrm{what}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$$\mathrm{f}\left(\mathrm{x}\right)=\sqrt{{\mathrm{x}}^2+2\mathrm{x}+5}+\sqrt{{\mathrm{x}}^2-14\mathrm{x}+65}$$ Commented by john santu last updated on 25/Jan/20 $${yes}\:{sir}.\:{haha}\:{this}\:{method}\:{not}\:…

Question Number 78799 by Pratah last updated on 20/Jan/20 Commented by mathmax by abdo last updated on 20/Jan/20 $$convergence?letf\left(x\right)=\frac{ln\left(x\right)}{x^{\frac{5}{4}}}withx⩾2wehave$$$${f}^{'} \left({x}\right)=\frac{\frac{\mathrm{1}}{{x}}{x}^{\frac{\mathrm{5}}{\mathrm{4}}} −\frac{\mathrm{5}}{\mathrm{4}}{x}^{\frac{\mathrm{5}}{\mathrm{4}}−\mathrm{1}} {lnx}}{{x}^{\frac{\mathrm{5}}{\mathrm{2}}}…