Category: Operation Research

Question Number 100327 by bobhans last updated on 26/Jun/20 $$\mathcal{S}\mathrm{olve}{\mathrm{x}}^2{\mathrm{y}}^{″}-{3\mathrm{xy}}^{\prime }-5\mathrm{y}=0$$ Commented by bobhans last updated on 26/Jun/20 $$\mathrm{n}(\mathrm{n}-1)-3\mathrm{n}-5=0$$$$\mathrm{n}^{\mathrm{2}} −\mathrm{4n}−\mathrm{5}=\mathrm{0},\:\left(\mathrm{n}−\mathrm{5}\right)\left(\mathrm{n}+\mathrm{1}\right)=\mathrm{0} \…

Question Number 26557 by tawa tawa last updated on 26/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 154561 by amin96 last updated on 19/Sep/21 Answered by liberty last updated on 19/Sep/21 $$\frac{3}{4}$$ Commented by amin96 last updated on…

Question Number 78333 by Lontum Hans last updated on 16/Jan/20 $$\mathrm{prove}\mathrm{by}\mathrm{contradiction}\mathrm{that}\sqrt{2}\mathrm{is}\mathrm{irrational}.$$ Answered by MJS last updated on 16/Jan/20 $$\sqrt{2}\in \mathbb{Q}\wedge \sqrt{2}>0\Rightarrow \sqrt{2}=\frac{p}{q}$$$$p,q\in \mathbb{N}\wedge \gcd (p,q)=1\iff p\nmid q\wedge q\nmid p$$$$\left(\sqrt{\mathrm{2}}=\frac{{p}}{{q}}\right)^{\mathrm{2}}…

Question Number 11261 by 786786AM last updated on 18/Mar/17 $$\mathrm{The}{\mathrm{n}}^{\mathrm{th}}\mathrm{term}\mathrm{of}\mathrm{a}\mathrm{progression}\mathrm{is}\mathrm{np}+\mathrm{q}\mathrm{and}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{n}\mathrm{terms}\mathrm{is}\mathrm{denoted}\mathrm{by}{\mathrm{S}}_{\mathrm{n}}.$$$$\mathrm{Given}\mathrm{that}\mathrm{the}{6}^{\mathrm{th}}\mathrm{term}\mathrm{is}4\mathrm{times}{2}^{\mathrm{nd}}\mathrm{term}\mathrm{and}\mathrm{that}{\mathrm{S}}_3=12,\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{p}\mathrm{and}\mathrm{q}.$$$$\mathrm{Express}{\mathrm{S}}_{\mathrm{n}}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{n}.$$ Terms of Service…