Category: Algebra

Question Number 155542 by Engr_Jidda last updated on 02/Oct/21 $$findthetylorseriesexpantionof\frac{z^2-1}{(z+1)(z+3)}$$ Commented by aliyn last updated on 02/Oct/21 $$\mathit{i}\mathit{t}\mathit{h}\mathit{i}\mathit{n}\mathit{k}\mathit{m}\mathit{a}\mathit{c}\mathit{l}\mathit{u}\mathit{r}\mathit{i}\mathit{n}\mathit{s}\mathit{e}\mathit{r}\mathit{i}\mathit{e}\mathit{s}\mathit{b}\mathit{u}\mathit{t}\mathit{n}\mathit{o}\mathit{t}\mathit{t}\mathit{y}\mathit{l}\mathit{o}\mathit{r}\mathit{s}\mathit{e}\mathit{r}\mathit{i}\mathit{e}\mathit{s}?$$ Commented by…

Question Number 89991 by jagoll last updated on 20/Apr/20 $$\mathrm{if}\mathrm{a},\mathrm{b}>0\mathrm{and}\frac{{\mathrm{a}}^2}{{\mathrm{b}}^2}=\frac{5}{3}$$$$\mathrm{find}\frac{{\mathrm{a}}^2+{\mathrm{b}}^2}{\mathrm{ab}}$$ Commented by john santu last updated on…

Question Number 24443 by Tinkutara last updated on 18/Nov/17 $$Solveforx:$$$${\left({10}^{-4}x\right)}^x=4\times {10}^{-8}$$ Answered by ajfour last updated on 18/Nov/17 $$\Rightarrow\:\:{x}\mathrm{ln}\:\left(\mathrm{10}^{−\mathrm{4}} {x}\right)=\mathrm{ln}\:\mathrm{4}−\mathrm{8}…

Question Number 89977 by I want to learn more last updated on 20/Apr/20 Commented by jagoll last updated on 20/Apr/20 $$\frac{\mathrm{dx}}{\mathrm{dy}}=\mathrm{c}.\Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}}=\frac{1}{2}\frac{\mathrm{dx}}{\mathrm{dy}}$$$$2\mathrm{x}-\frac{3}{2}.\frac{10}{3}\sqrt{\mathrm{x}}+5=\frac{1}{2}\mathrm{c}$$$$\mathrm{2x}−\mathrm{5}\sqrt{\mathrm{x}}+\mathrm{5}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{c}\:=\:\mathrm{0}…

Question Number 155506 by VIDDD last updated on 01/Oct/21 Answered by amin96 last updated on 01/Oct/21 $$\underset{x\to 0}{\lim }\frac{{cos}^2(1-{cos}^2(1-\dots {cos}^2(1-{cos}^2\left(x\right))))}{sin\left(\pi \times \frac{(\sqrt{x+4}-2)(\sqrt{x+4}+2)}{x\times (\sqrt{x+4}+2)}\right)}=$$$$=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{cos}^{\mathrm{2}}…