Category: Algebra

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…

Question Number 23928 by Tinkutara last updated on 10/Nov/17 $$\mathrm{Find}{}^n{C}_1-\frac{1}{2}{}^n{C}_2+\frac{1}{3}{}^n{C}_3-\dots .+$$$${(-1)}^{n-1}\frac{1}{n}\cdot {}^n{C}_n.$$ Commented by…

Question Number 154994 by mathdanisur last updated on 24/Sep/21 $$\mathrm{Find}$$$$\underset{0}{\stackrel{1}{\int }}{\mathrm{x}}^2{\tan }^{-1}\left(2\mathrm{x}\right){\ln }^2\left(3\mathrm{x}\right)\mathrm{dx}=?$$ Answered by phanphuoc last updated on…