Category: Relation and Functions

Question Number 67379 by mathmax by abdo last updated on 26/Aug/19 $$letf\left(x\right)=e^{-\mid x\mid }2\pi periodiceven$$$$developpfatfourierserie$$ Commented by Abdo msup. last updated on 28/Aug/19…

Question Number 67234 by prof Abdo imad last updated on 24/Aug/19 $$factorisep\left(x\right)=1+x+x^2+x^3+x^5$$$$insideC\left[x\right]andR\left[x\right]$$$$calculatep\left(e^{i\frac{\pi }{5}}\right)andp\left(cos\left(\frac{\pi }{5}\right)\right)$$ Commented by mathmax by…

Question Number 1668 by 123456 last updated on 30/Aug/15 $$\frac{f\left(x\right)+f\left(y\right)}{2}=f\left(\frac{x+y}{2}\right),\mathrm{\forall }x,y\in \mathbb{R}$$$$f\left(x\right)=?$$ Commented by Rasheed Ahmad last updated on 30/Aug/15 $$f\left(x\right)hastwoproperties:$$$$\left(\mathrm{1}\right)\:{f}\left({cx}\right)={cf}\left({x}\right)\:{for}\:{constant}\:{c}…

Question Number 67187 by mathmax by abdo last updated on 23/Aug/19 $$letf\left(x\right)=arctan\left(x^3\right)$$$$1)calculate{f}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrserie$$$$\left.\mathrm{3}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{arctan}\left({x}^{\mathrm{3}} \right){dx} \…

Question Number 67055 by Tony Lin last updated on 22/Aug/19 $$let{\mathbb{Z}}_{+}=\mathbb{N}\cup \left\{0\right\},f:{\mathbb{Z}}_{+}\times {\mathbb{Z}}_{+}\to {\mathbb{Z}}_{+}$$$$f(m,n)=\frac{(m+n)(m+n+1)}{2}+m$$$$provethatfisaone-to-onefunction$$$$andalsoanontofunction$$ Terms of Service…