Category: Relation and Functions

Question Number 33981 by abdo imad last updated on 28/Apr/18 $$letx\in [-1,1]{andf}_n\left(x\right)=sin\left(2narcsinx\right)$$$$1)provethat{f}_{n}isoddandcalculate{f}_n\left(0\right)and{f}_n\left(1\right)$$$$2)solveinside\left[\overline{01}\right]f_n\left(x\right)=0$$$$\left.\mathrm{3}\right)\:{prove}\:{that}\:{f}_{{n}} \:{is}\:{continue},{derivable}\:{on}\left[−\mathrm{1},\mathrm{1}\right]\:{and} \…

Question Number 33940 by rahul 19 last updated on 28/Apr/18 $$\mathit{L}eta,barepositiverealnumberssuch$$$$thata-b=10,thenthesmallestvalue$$$$oftheconstant\mathit{k}forwhich$$$$\sqrt{(x^2+ax)}-\sqrt{(x^2+bx)}<\mathit{k}forallx>0$$$$is?$$ Answered by…

Question Number 99464 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{solve}{\mathrm{y}}^{{}^{″}}-{2\mathrm{y}}^{{}^{\prime }}+\mathrm{y}={\mathrm{xe}}^{-\mathrm{x}}\sin \left(2\mathrm{x}\right)\mathrm{withy}\left(\mathrm{o}\right)=-1\mathrm{and}{\mathrm{y}}^{{}^{\prime }}\left(0\right)=0$$ Answered by MWSuSon last updated on 21/Jun/20…

Question Number 99463 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{let}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{e}}^{-2\mathrm{x}}\arctan \left(\frac{3}{{\mathrm{x}}^2}\right)$$$$\mathrm{find}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(\mathrm{x}\right)\mathrm{and}{\mathrm{f}}^{\left(\mathrm{n}\right)}\left(1\right)$$$$\left.\mathrm{2}\right)\:\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)\:=\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\mathrm{a}_{\mathrm{n}} \left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{n}} \:\:\:\:\mathrm{determinate}\:\mathrm{a}_{\mathrm{n}} \…

Question Number 99459 by mathmax by abdo last updated on 21/Jun/20 $$\mathrm{let}\mathrm{h}\left(\mathrm{x}\right)=\mathrm{x}\sin \left(2\mathrm{x}\right)\mathrm{even}2\pi \mathrm{poeriodic}\mathrm{developp}\mathrm{h}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com