Category: Algebra

Question Number 127500 by mr W last updated on 30/Dec/20 $$if\sin x_1+\sin x_2+\dots +\sin x_{100}=0,$$$$findthemaximumvalueof$$$$\mathrm{sin}^{\mathrm{5}} \:{x}_{\mathrm{1}} +\mathrm{sin}^{\mathrm{5}} \:{x}_{\mathrm{2}} +…+\mathrm{sin}^{\mathrm{5}} \:{x}_{\mathrm{100}} . \…

Question Number 127481 by Mathgreat last updated on 30/Dec/20 Commented by hknkrc46 last updated on 30/Dec/20 $$g\left(x\right)=x^3+1\Rightarrow g^{-1}\left(x\right)=\sqrt[3]{x-1}$$$${f}\left({x}^{\mathrm{3}} \:+\:\mathrm{1}\right)\mid_{\sqrt[{\mathrm{3}}]{{x}\:−\:\mathrm{1}}} \:=\:\left({x}^{\mathrm{5}} \:+\:\mathrm{4}{x}\:+\:\mathrm{2}\right)\mid_{\sqrt[{\mathrm{3}}]{{x}\:−\:\mathrm{1}}} \…

Question Number 61895 by maxmathsup by imad last updated on 10/Jun/19 $$letA=\left(\begin{array}{c}1-1\\ 01\end{array}\right)$$$$1)calculate{A}^n$$$$2)find{e}^A,e^{-A}$$$$3)determine{e}^{iA}thencosAandsinA.$$ Commented by maxmathsup…

Question Number 127429 by Study last updated on 29/Dec/20 $$6\mathbf{÷}3\left(2\right)=???$$ Commented by talminator2856791 last updated on 29/Dec/20 $$\mathrm{why}\mathrm{is}\mathrm{your}\mathrm{name}\mathrm{in}\mathrm{red}?$$ Terms of Service…

Question Number 192958 by Mingma last updated on 31/May/23 Answered by Frix last updated on 01/Jun/23 $$\mathrm{Question}191675$$$$x=\frac{1+\sqrt{5}}{2}$$$${(2x-1)}^4={\left(\sqrt{5}\right)}^4=25$$…