Category: Algebra

Question Number 150259 by mathdanisur last updated on 10/Aug/21 $$\underset{0}{\stackrel{\mathrm{\infty }}{\int }}\frac{{\mathrm{e}}^{-\mathbf{st}}(\cosh \left(2\mathrm{t}\right)-\cosh \left(5\mathrm{t}\right))\mathrm{dt}}{\mathrm{t}}=?$$ Answered by Ar Brandon last updated on 10/Aug/21 $${I}\left({s}\right)=\int_{\mathrm{0}} ^{\infty}…

Question Number 150247 by mathdanisur last updated on 10/Aug/21 $$\underset{2}{\stackrel{6}{\int }}(\mathrm{x}-1)(\mathrm{x}-2)(\mathrm{x}-3)\dots (\mathrm{x}-9)\mathrm{dx}=?$$$$\mathrm{a})1\mathrm{b})0\mathrm{c})6!\mathrm{d})-2\mathrm{e})4!$$ Commented by amin96 last updated on 10/Aug/21 $$\int_{\mathrm{2}} ^{\mathrm{6}}…

Question Number 150231 by Lekhraj last updated on 10/Aug/21 Answered by Ar Brandon last updated on 10/Aug/21 $$f\left(x\right)=\frac{1}{3^x+\sqrt{3}}$$$$\Rightarrow f(1-x)=\frac{1}{3^{1-x}+\sqrt{3}}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{3}^{{x}} }{\mathrm{3}+\mathrm{3}^{{x}}…

Question Number 19123 by 433 last updated on 05/Aug/17 $$\{\begin{array}{l}\mathrm{xf}\left(\mathrm{x}\right)-\mathrm{g}\left(\mathrm{x}\right)+\mathrm{h}\left(\mathrm{x}\right)=2\mathrm{x}+1\\ \mathrm{f}\left(\mathrm{x}\right)-(2\mathrm{x}-2)\mathrm{g}\left(\mathrm{x}\right)-3\mathrm{h}\left(\mathrm{x}\right)=\mathrm{x}\\ \ln \left(\mathrm{x}\right)\mathrm{f}\left(\mathrm{x}\right)-(\mathrm{x}-3)\mathrm{h}\left(\mathrm{x}\right)=1\end{array}$$$$\mathrm{Find}\mathrm{f}\left(\mathrm{x}\right),\mathrm{g}\left(\mathrm{x}\right),\mathrm{h}\left(\mathrm{x}\right)$$ Answered by ajfour last updated on 05/Aug/17 $$\mathrm{x}(2\mathrm{x}-2)\mathrm{f}-(2\mathrm{x}-2)\mathrm{g}+(2\mathrm{x}-2)\mathrm{h}=(2\mathrm{x}-2)(2\mathrm{x}+1)$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{f}−\left(\mathrm{2x}−\mathrm{2}\right)\mathrm{g}−\mathrm{3h}=\mathrm{x} \…

Question Number 19121 by mondodotto@gmail.com last updated on 05/Aug/17 Terms of Service Privacy Policy Contact: info@tinkutara.com