Category: Relation and Functions

Question Number 38740 by abdo.msup.com last updated on 29/Jun/18 $$findtbepolynompwithdegre5wichverify$$$$p(x+1)-p\left(x\right)=x^{4}andp\left(0\right)=0$$$$forthatputp\left(x\right)={ax}^5+{bx}^4+{cx}^3+{dx}^2$$$$+ex+fandfindthecoefficients.$$$$2)findintermsofnthevalueof$$$${sum}\:\mathrm{1}\:+\mathrm{2}^{\mathrm{4}} \:+\mathrm{3}^{\mathrm{4}}…

Question Number 38725 by maxmathsup by imad last updated on 28/Jun/18 $$letf\left(x\right)=ln(1+e^{-x})developpfatintegrserie.$$ Commented by abdo.msup.com last updated on 29/Jun/18 $${we}\:{have}\:{ln}\left(\mathrm{1}+{u}\right)\:=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}−\mathrm{1}}…

Question Number 38721 by maxmathsup by imad last updated on 28/Jun/18 $$letf\left(x\right)=\sqrt{1+2x^2}-x\sqrt{2}+3$$$$1)calculate{lim}_{x\to +\mathrm{\infty }}f\left(x\right)and{lim}_{x\to -\mathrm{\infty }}f\left(x\right)$$$$2)calculate{lim}_{x\to +\mathrm{\infty }}\frac{f\left(x\right)}{x}and{lim}_{x\to -\mathrm{\infty }}\frac{f\left(x\right)}{x}$$$$3)givetheassymtotetograph{C}_f$$$$\left.\mathrm{4}\right)\:{give}\:{the}\:{assymtote}\:{to}\:{C}_{{f}}…

Question Number 38699 by Tinkutara last updated on 28/Jun/18 Answered by behi83417@gmail.com last updated on 28/Jun/18 $${y}^{\mathrm{2}} ={a}^{\mathrm{2}} +{b}^{\mathrm{2}} +\mathrm{2}\sqrt{\left({a}^{\mathrm{2}} {cos}^{\mathrm{2}} {x}+{b}^{\mathrm{2}} {sin}^{\mathrm{2}} {x}\right)\left({a}^{\mathrm{2}} {sin}^{\mathrm{2}}…

Question Number 38643 by maxmathsup by imad last updated on 27/Jun/18 $$calculate{lim}_{n\to +\mathrm{\infty }}\frac{1+2+3+\dots +n}{1+2^4+3^4+\dots +n^4}$$ Commented by abdo mathsup 649 cc last…