Category: Algebra

Question Number 196544 by mr W last updated on 27/Aug/23 Answered by witcher3 last updated on 27/Aug/23 $$\mathrm{f}(\mathrm{k}+1)=\mathrm{f}\left(1\right)+\mathrm{f}\left(\mathrm{k}\right)+\mathrm{k}$$$$\Rightarrow\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}−\mathrm{1}} {\sum}}\left(\mathrm{f}\left(\mathrm{k}+\mathrm{1}\right)−\mathrm{f}\left(\mathrm{k}\right)\right)=\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}−\mathrm{1}} {\sum}}\mathrm{f}\left(\mathrm{1}\right)+\mathrm{k}=\left(\mathrm{n}−\mathrm{1}\right)\mathrm{f}\left(\mathrm{1}\right)+\frac{\mathrm{n}}{\mathrm{2}}\left(\mathrm{n}−\mathrm{1}\right) \…

Question Number 196515 by hardmath last updated on 26/Aug/23 $$\mathrm{Find}:{\int }_0^{+\mathrm{\infty }}{\mathrm{x}}^{\mathit{\pi }}{\mathrm{e}}^{-\mathbf{x}}\mathrm{dx}=?$$ Answered by aleks041103 last updated on 26/Aug/23 $$\int_{\mathrm{0}} ^{\infty}…

Question Number 196483 by hardmath last updated on 25/Aug/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 196343 by universe last updated on 23/Aug/23 $$\mathrm{find}\mathrm{the}\mathrm{minimum}\mathrm{value}\mathrm{of}\mathrm{f}\left(\mathrm{x}\right)$$$$\mathrm{f}\left(\mathrm{x}\right)=\sqrt{{\mathrm{x}}^2-2\mathrm{x}+5}+\sqrt{{4\mathrm{x}}^2-4\mathrm{x}+10}$$ Answered by MM42 last updated on 23/Aug/23 $$\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{4}}+\sqrt{\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{2}}…

Question Number 196364 by mathlove last updated on 23/Aug/23 $$xp\left(x\right)=x^3-2x^2+x-a$$$$p(-1)=?$$ Answered by MM42 last updated on 23/Aug/23 $${x}=\mathrm{0}\Rightarrow{a}=\mathrm{0} \…