Category: Algebra

Question Number 185983 by mnjuly1970 last updated on 30/Jan/23 $$$$$$\{\begin{array}{l}f:[0,1]\to \mathbb{R}\\ f\left(x\right)=\frac{4^x}{2+4^x}\end{array}$$$$isgiven.findthevalueof$$$$thefollowingexpression.$$$$\mathrm{E}=f\left(\frac{1}{20}\right)+f\left(\frac{2}{20}\right)+\dots +f\left(\frac{19}{20}\right)-f\left(\frac{1}{2}\right)=?$$ Answered by ARUNG_Brandon_MBU…

Question Number 185982 by Shrinava last updated on 30/Jan/23 Answered by Mathspace last updated on 30/Jan/23 $$wedeveloppfirst{(x+1)}^{2n}$$$$=\sum_{{k}=\mathrm{0}} ^{\mathrm{2}{n}} {C}_{\mathrm{2}{n}} ^{{k}} {x}^{{k}} \:\:{but} \…

Question Number 185972 by Michaelfaraday last updated on 30/Jan/23 Answered by Rasheed.Sindhi last updated on 30/Jan/23 $$x=\sqrt[3]{p}+\frac{1}{\sqrt[3]{p}},y=\sqrt{p}+\frac{1}{\sqrt{p}}$$$$Showthat{y}^2-2=x(x^2-3)$$$${x}^{\mathrm{3}} =\left(\sqrt[{\mathrm{3}}]{{p}}\:+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{p}}\:}\right)^{\mathrm{3}} ={p}+\frac{\mathrm{1}}{{p}}+\mathrm{3}\left(\sqrt[{\mathrm{3}}]{{p}}\:+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{p}}\:}\right)…

Question Number 54857 by Tawa1 last updated on 13/Feb/19 Answered by tanmay.chaudhury50@gmail.com last updated on 13/Feb/19 $$\frac{d^{2}y}{{dx}^2}+\lambda y=0$$$$y=e^{mx}$$$${m}^{\mathrm{2}} {e}^{{mx}} +\lambda{e}^{{mx}}…

Question Number 120355 by TITA last updated on 30/Oct/20 Commented by TITA last updated on 30/Oct/20 $$pleasehelp$$ Commented by TITA last updated on…