Category: Algebra

Question Number 153162 by mathdanisur last updated on 05/Sep/21 $$\mathrm{Determine}\mathrm{all}\mathrm{the}\mathrm{derivable}\mathrm{functions}$$$$\mathrm{f}:\mathbb{R}\to \mathbb{R}\mathrm{which}\mathrm{satisfy}$$$$\frac{\mathrm{f}\left({\mathrm{x}}^3\right)-\mathrm{f}\left(0\right)}{\mathrm{f}\left(\mathrm{x}\right)-\mathrm{f}\left(0\right)}={\mathrm{x}}^2;\mathrm{\forall }\mathrm{x}\ne 0$$ Answered by aleks041103 last updated on 05/Sep/21…

Question Number 87598 by aseer imad last updated on 05/Apr/20 Commented by aseer imad last updated on 05/Apr/20 please solve this problem by matrix. by reduced row echilon form or row echilon form Terms of Service Privacy Policy Contact:…

Question Number 153128 by mathdanisur last updated on 04/Sep/21 $$\mathrm{if}\frac{\mathrm{x}+\mathrm{y}}{2}+\sqrt{\mathrm{xy}}=\frac{1+\sqrt{5}}{2}\mathrm{and}{\mathrm{x}}^2+{\mathrm{y}}^2=\sqrt{5}$$$$\mathrm{find}\frac{1}{\mathrm{x}}+\frac{1}{\mathrm{y}}=?$$ Answered by EDWIN88 last updated on 05/Sep/21 $$\:\:$$\{\begin{array}{l}x+y=u\\ xy=v\end{array}$$\Rightarrow$$\{\begin{array}{l}u+2\sqrt{v}=1+\sqrt{5}\\ u^2-2v=\sqrt{5}\end{array}$$…

Question Number 22057 by FilupS last updated on 10/Oct/17 $$\int f\left(x\right)dx={\left(\frac{d}{dx}\right)}^2$$$$f\left(x\right)=???$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 22047 by Tinkutara last updated on 10/Oct/17 $$\mathrm{If}x>0\mathrm{and}\mathrm{the}{4}^{\mathrm{th}}\mathrm{term}\mathrm{in}\mathrm{the}\mathrm{expansion}$$$$\mathrm{of}{(2+\frac{3}{8}x)}^{10}\mathrm{has}\mathrm{maximum}\mathrm{value}$$$$\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{range}\mathrm{of}x.$$ Commented by Tinkutara last updated on 10/Oct/17…