Category: Relation and Functions

Question Number 97270 by bobhans last updated on 07/Jun/20 $$\mathbf{solve}\mathbf{for}\mathbf{all}\mathbf{real}\mathbf{value}\mathbf{of}\mathbf{x},\mathbf{y}\mathbf{and}\mathbf{z}\mathbf{giving}$$$$\mathbf{answer}\mathbf{the}\mathbf{form}(\mathbf{x},\mathbf{y},\mathbf{z})\{\begin{array}{l}\mathbf{x}(\mathbf{x}+\mathbf{y})+\mathbf{z}(\mathbf{x}-\mathbf{y})=4\\ \mathbf{y}(\mathbf{y}+\mathbf{z})+\mathbf{x}(\mathbf{y}-\mathbf{z})=-4\\ \mathbf{z}(\mathbf{z}+\mathbf{x})+\mathbf{y}(\mathbf{z}-\mathbf{x})=5\end{array}$$ Commented by john santu last updated on 07/Jun/20 $$\left(\mathrm{1}\right)\:\mathrm{x}^{\mathrm{2}} +\mathrm{xy}+\mathrm{xz}−\mathrm{yz}\:=\:\mathrm{4} \…

Question Number 97231 by mathmax by abdo last updated on 07/Jun/20 $$\mathrm{developp}\mathrm{at}\mathrm{fourier}\mathrm{serie}\mathrm{f}\left(\mathrm{x}\right)=\frac{1}{{\cos }^2\mathrm{x}-3\mathrm{cosx}+2}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 97226 by mathmax by abdo last updated on 07/Jun/20 $$\mathrm{let}{\mathrm{a}}_{\mathrm{n}}\mathrm{the}\mathrm{sequence}\mathrm{wich}\mathrm{verify}{\mathrm{a}}_{\mathrm{n}}+{\mathrm{a}}_{\mathrm{n}+1}=\frac{{(-1)}^{\mathrm{n}}}{{\mathrm{n}}^2}$$$$\mathrm{calculate}\sum _{\mathrm{n}=1}^{\mathrm{\infty }}{\mathrm{a}}_{\mathrm{n}}{\mathrm{x}}^{\mathrm{n}}$$ Terms…

Question Number 31546 by prof Abdo imad last updated on 10/Mar/18 $$letconsiderthenumrticalfunction$$$$f\left(x\right)=\frac{1}{x^2+x+1}calculate{f}^{\left(n\right)}\left(x\right)thengive$$$$f^{\left(n\right)}\left(0\right).$$ Answered by prof Abdo…

Question Number 31533 by abdo imad last updated on 09/Mar/18 $$letputS\left(x\right)=\sum _{n=0}^{\mathrm{\infty }}\frac{{(-1)}^n}{n+x}$$$$1)provethatSis{C}^{1}on]0^{\prime }+\mathrm{\infty }[$$$$2)givethevariationofS\left(x\right)$$$$3)provethat\mathrm{\forall }x>0S(x+1)+S\left(x\right)=\frac{1}{x}$$$$4)giveaequivalentforSat0$$$$\left.\mathrm{5}\right){find}\:{a}\:{equivalent}\:{for}\:{S}\:{at}\:+\infty.…