Category: Algebra

Question Number 186941 by mathlove last updated on 12/Feb/23 $$\frac{sinx}{x^b}=\frac{\underset{n=0}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^n}{(2n+1)!}{x}^{2n+1}}{x^b}$$$$provethat$$ Commented by mr W last…

Question Number 55857 by Joel578 last updated on 05/Mar/19 $$\mathrm{Let}A\mathrm{and}B\mathrm{are}\mathrm{matrices}\mathrm{in}{\mathbb{R}}^{2017\times 2017}\mathrm{such}\mathrm{that}$$$$A^{-1}={(A+B)}^{-1}-B^{-1}$$$$\mathrm{and}$$$$\det \left(A^{-1}\right)=2017$$$$\mathrm{Find}\det \left(B\right)$$ Terms…

Question Number 55805 by bshahid010@gmail.com last updated on 04/Mar/19 Commented by MJS last updated on 04/Mar/19 $$\mathrm{b}=0\Rightarrow \frac{a^2+b^2}{ab+1}=a^2$$$${b}={a}^{\mathrm{3}} \:\Rightarrow\:\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }{{ab}+\mathrm{1}}={a}^{\mathrm{2}} \…

Question Number 186864 by mathlove last updated on 11/Feb/23 $$ifAB,BAandBBthreetowdigitsnatural$$$$numbersif\frac{(AB+BA)}{BB}=4$$$$thenfindthemaximumvolueof$$$$(A+B)=?$$ Answered by mr W last updated on…

Question Number 121257 by benjo_mathlover last updated on 06/Nov/20 $$\mathrm{If}\mathrm{today}\mathrm{is}\mathrm{June}17,2009\mathrm{and}\mathrm{George}$$$$\mathrm{was}\mathrm{born}\mathrm{on}\mathrm{November}25,1967.$$$$\mathrm{How}\mathrm{old}\mathrm{is}\mathrm{George}?$$ Commented by bemath last updated on 06/Nov/20 I forgot the formula, once told by sir mjs Commented…