Category: Others

Question Number 57074 by Tawa1 last updated on 30/Mar/19 $$\mathrm{Solve}\mathrm{the}\mathrm{system}.$$$$\stackrel{\mathrm{x}}{}{\mathrm{C}}_{\mathrm{y}+1}=20,\stackrel{\mathrm{x}-1}{}{\mathrm{C}}_{\mathrm{y}}=10$$ Answered by mr W last updated on…

Question Number 57062 by olalekan2 last updated on 29/Mar/19 $$findthesumofall$$$$threedigitalnatural$$$$numbersthatare$$$$divisibleby7$$ Commented by tanmay.chaudhury50@gmail.com last updated on 29/Mar/19…

Question Number 122518 by Dwaipayan Shikari last updated on 17/Nov/20 $$1-\frac{1}{5}+\frac{1}{7}-\frac{1}{11}+\frac{1}{13}-\frac{1}{17}+\dots$$ Commented by Dwaipayan Shikari last updated on 17/Nov/20 $$\frac{1}{2}tanx=\frac{1}{\pi -2x}-\frac{1}{\pi +2x}+\frac{1}{3\pi -2x}-\frac{1}{3\pi +2x}+\frac{1}{5\pi -2x}-\frac{1}{5x+2\pi }+\dots$$$$\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}=\frac{\mathrm{1}}{\pi−\frac{\mathrm{2}\pi}{\mathrm{3}}}−\frac{\mathrm{1}}{\pi+\frac{\mathrm{2}\pi}{\mathrm{3}}}+\frac{\mathrm{1}}{\mathrm{3}\pi−\frac{\mathrm{2}\pi}{\mathrm{3}}}−\frac{\mathrm{1}}{\mathrm{3}\pi+\frac{\mathrm{2}\pi}{\mathrm{3}}}+\frac{\mathrm{1}}{\mathrm{5}\pi−\frac{\mathrm{2}\pi}{\mathrm{3}}}−.. \…

Question Number 56971 by tanmay.chaudhury50@gmail.com last updated on 27/Mar/19 Commented by tanmay.chaudhury50@gmail.com last updated on 27/Mar/19 $$source..book$$ Answered by mr W last updated…

Question Number 56932 by turbo msup by abdo last updated on 27/Mar/19 $$let{f}_n\left(t\right)={\int }_0^{\mathrm{\infty }}\frac{dx}{{(x^2+t^2)}^n}$$$$withnfromNandn⩾1$$$$\mathrm{1}.\:{find}\:{a}\:{explicit}\:{form}\:{of}\:{f}_{{n}} \left({t}\right) \…