Category: Algebra

Question Number 24010 by Tinkutara last updated on 11/Nov/17 $$\mathrm{Prove}\mathrm{that}\underset{r=1}{\sum ^{2n-1}}{(-1)}^{r-1}\cdot \frac{r}{{}^{2n}{C}_r}=\frac{n}{n+1}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 155069 by mathdanisur last updated on 24/Sep/21 $$\mathrm{if}\mathrm{x};\mathrm{y};\mathrm{z}>0\mathrm{such}\mathrm{that}\mathrm{x}+\mathrm{y}+\mathrm{z}=3$$$$\mathrm{and}0⩽\mathit{\lambda }⩽1\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\frac{\mathrm{x}}{{\mathrm{y}}^2+\lambda }+\frac{\mathrm{y}}{{\mathrm{z}}^2+\lambda }+\frac{\mathrm{z}}{{\mathrm{x}}^2+\lambda }⩾\frac{3}{\lambda +1}$$ Terms of Service Privacy Policy Contact:…

Question Number 155056 by mathdanisur last updated on 24/Sep/21 Answered by mr W last updated on 24/Sep/21 $${BF}^2={AB}^2+{\left(\sqrt{2}AC\right)}^2+2\times AB\times \sqrt{2}AC\times \cos (A+\frac{\pi }{4})..\left(i\right)$$$${CD}^{\mathrm{2}} ={AC}^{\mathrm{2}} +\left(\sqrt{\mathrm{2}}{AB}\right)^{\mathrm{2}}…

Question Number 89505 by AnsarFawaz last updated on 17/Apr/20 Answered by TANMAY PANACEA. last updated on 17/Apr/20 $$i)twoat+\mathrm{\infty }and-\mathrm{\infty }$$$$ii)one$$$$iii)three$$ Terms…

Question Number 23953 by NECx last updated on 10/Nov/17 $$findthenthtermofthesequence$$$$4,9,16,45,76$$$$$$$$pleasehelp$$ Commented by prakash jain last updated on…