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Author: Tinku Tara

if-f-x-ax-2-bx-c-and-f-5-3f-2-an-intersiction-point-4-0-an-the-X-axis-faind-another-point-the-X-axis-

Question Number 136667 by mathlove last updated on 24/Mar/21 $${if}\:\:\:\:\:\:{f}\left({x}\right)={ax}^{\mathrm{2}} +{bx}+{c}\:\:\:\:\:\:{and}\:\:\:{f}\left(\mathrm{5}\right)=−\mathrm{3}{f}\left(\mathrm{2}\right) \\ $$$${an}\:{intersiction}\:\:{point}\:\:\left(−\mathrm{4},\mathrm{0}\right) \\ $$$${an}\:{the}\:\:{X}-{axis}\:\:\:\:\:{faind}\:{another}\:{point}\: \\ $$$${the}\:{X}-{axis} \\ $$$$ \\ $$ Answered by MJS_new last…

Solve-the-following-equation-x-sin-x-2-3-pi-

Question Number 5590 by Rasheed Soomro last updated on 21/May/16 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{equation} \\ $$$$\mathrm{x}−\mathrm{sin}\:\mathrm{x}=\frac{\mathrm{2}}{\mathrm{3}}\pi\:. \\ $$ Commented by Yozzii last updated on 24/May/16 $${Numerical}\:{methods}\:{work},\:{but}\:{one}\: \\ $$$${may}\:{wonder}\:{what}\:{the}\:{exact}\:{value}\left({s}\right)…

Question-136656

Question Number 136656 by 0731619177 last updated on 24/Mar/21 Answered by Ñï= last updated on 24/Mar/21 $${y}={x}^{{x}^{{x}^{…} } } ={x}^{{y}} \\ $$$${y}'=\left({e}^{{ylnx}} \right)'={x}^{{y}} \left({y}'{lnx}+\frac{{y}}{{x}}\right)={x}^{{y}} {y}'{lnx}+{yx}^{{y}−\mathrm{1}}…

f-n-x-x-1-x-2x-2-x-nx-n-x-n-N-f-n-x-f-n-1-x-nx-n-x-f-1-x-x-1-x-f-n-1-x-f-n-x-nx-n-x-n-Z-f-0-x-f-1-x-x-1-x

Question Number 5585 by 123456 last updated on 21/May/16 $${f}_{{n}} \left({x}\right)=\frac{{x}}{\mathrm{1}−{x}}+\frac{\mathrm{2}{x}}{\mathrm{2}−{x}}+…+\frac{{nx}}{{n}−{x}} \\ $$$${n}\in\mathbb{N}^{\ast} \\ $$$$−−−−−−−−−−−−−−−− \\ $$$${f}_{{n}} \left({x}\right)={f}_{{n}−\mathrm{1}} \left({x}\right)+\frac{{nx}}{{n}−{x}} \\ $$$${f}_{\mathrm{1}} \left({x}\right)=\frac{{x}}{\mathrm{1}−{x}} \\ $$$${f}_{{n}−\mathrm{1}} \left({x}\right)={f}_{{n}}…