Category: Relation and Functions

Question Number 62815 by mathmax by abdo last updated on 25/Jun/19 $$developpatfourierserief\left(x\right)=cos\left(tx\right),2\pi periodiceven.$$ Commented by mathmax by abdo last updated on 28/Jun/19 $${f}\:{is}\:{even}\:\Rightarrow{f}\left({x}\right)\:=\frac{{a}_{\mathrm{0}} }{\mathrm{2}}\:+\sum_{{n}=\mathrm{1}}…

Question Number 128176 by liberty last updated on 05/Jan/21 $$\mathrm{Given}\mathrm{t}\left(\mathrm{x}\right)={\mathrm{ax}}^4+{\mathrm{bx}}^2+\mathrm{x}+5;\mathrm{where}\mathrm{a}\mathrm{and}\mathrm{b}$$$$\mathrm{are}\mathrm{constant}.\mathrm{If}\mathrm{t}(-4)=3\mathrm{then}\mathrm{t}\left(4\right)=?$$ Answered by bemath last updated on 05/Jan/21 $$\left(\Rightarrow\right)\:\mathrm{t}\left(\mathrm{x}\right)=\mathrm{ax}^{\mathrm{4}} +\mathrm{bx}^{\mathrm{2}}…

Question Number 62440 by mathsolverby Abdo last updated on 21/Jun/19 $$leth\left(x\right)=arctan(x+\frac{1}{x})$$$$1)calculate{h}^{\left(n\right)}\left(x\right)and{h}^{\left(n\right)}\left(1\right)$$$$2)developpf\left(x\right)atintegrserieat{x}_0=1$$ Commented by mathmax by abdo…

Question Number 62434 by mathsolverby Abdo last updated on 21/Jun/19 $$letf\left(x\right)=ch\left(cosx\right)$$$$1)calculste{f}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrserie$$ Terms of Service Privacy Policy Contact:…

Question Number 62340 by Tawa1 last updated on 19/Jun/19 Commented by maxmathsup by imad last updated on 20/Jun/19 $$3)f\left(x\right)+xf(-x)=x\Rightarrow f(-x)-xf\left(x\right)=-xwegetthesysteme$$$$\{\begin{array}{l}f\left(x\right)+xf(-x)=x\\ xf\left(x\right)-f(-x)=x\left(withunknownf\left(x\right)andf(-x)\right)\end{array}$$$$\mathrm{\Delta }=\left|\begin{array}{c}1x\\ x-1\end{array}\right|=-1-x^2$$$${f}\left({x}\right)\:=\frac{\Delta_{{f}\left({x}\right)}…