Category: Algebra

Question Number 153780 by liberty last updated on 10/Sep/21 $$\lfloor \frac{125}{12}\rfloor =10or11?$$ Answered by puissant last updated on 10/Sep/21 $$\lfloor \frac{125}{12}\rfloor =\lfloor 10,41\rfloor =10..$$ Commented by liberty…

Question Number 22701 by selestian last updated on 22/Oct/17 Answered by ajfour last updated on 22/Oct/17 $${e}^{\left(\frac{\mathrm{sin}\:^{\mathrm{2}} {x}}{\mathrm{1}−\mathrm{sin}\:^{\mathrm{2}} {x}}\right)\mathrm{ln}\:\mathrm{2}} \:={e}^{\mathrm{ln}\:\mathrm{2}^{\mathrm{tan}\:^{\mathrm{2}} {x}} } \:=\mathrm{2}^{\mathrm{tan}\:^{\mathrm{2}} {x}} \…

Question Number 153764 by mathdanisur last updated on 10/Sep/21 $$\mathrm{Prove}\mathrm{without}\mathrm{any}\mathrm{software}:$$$$\underset{0}{\stackrel{1}{\int }}\underset{0}{\stackrel{1}{\int }}\sqrt{1-{\left(\frac{\mathrm{x}+\mathrm{y}}{2}\right)}^2}\mathrm{dxdy}>\frac{\pi }{4}$$ Commented by alisiao last updated on…

Question Number 153733 by mathdanisur last updated on 09/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 22640 by Tinkutara last updated on 21/Oct/17 $$Withusualnotation,showthat$$$$\frac{C_0}{x}-\frac{C_1}{x+1}+\frac{C_2}{x+2}-\dots .+{(-1)}^n\frac{C_n}{x+n}=$$$$\frac{n!}{x(x+1)(x+2)\dots .(x+n)}$$ Terms of Service Privacy…