Category: Arithmetic

Question Number 86343 by jagoll last updated on 28/Mar/20 $$\mathrm{Dear}\mathrm{mr}\mathrm{w}.\mathrm{i}\mathrm{want}$$$$\mathrm{discuss}\mathrm{for}\mathrm{equation}$$$$\mathrm{find}\mathrm{minimum}\mathrm{and}\mathrm{maximum}\mathrm{value}$$$$\mathrm{of}\mathrm{xy}+2\mathrm{with}\mathrm{constraint}$$$${\mathrm{x}}^2+{\mathrm{y}}^2=6.$$$$\mathrm{my}\mathrm{way}\left(\mathrm{short}\mathrm{cut}\right)$$$$\Rightarrow\:\mathrm{x}^{\mathrm{2}} \:=\:\mathrm{y}^{\mathrm{2}}…

Question Number 20693 by Tinkutara last updated on 31/Aug/17 $$\mathrm{Integers}1,2,3,\dots .,n,\mathrm{where}n>2,\mathrm{are}$$$$\mathrm{written}\mathrm{on}\mathrm{a}\mathrm{board}.\mathrm{Two}\mathrm{numbers}m,k$$$$\mathrm{such}\mathrm{that}1<m<n,1<k<n\mathrm{are}$$$$\mathrm{removed}\mathrm{and}\mathrm{the}\mathrm{average}\mathrm{of}\mathrm{the}$$$$\mathrm{remaining}\mathrm{numbers}\mathrm{is}\mathrm{found}\mathrm{to}\mathrm{be}17.$$$$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{maximum}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{two}$$$$\mathrm{removed}\mathrm{numbers}?$$ Answered…

Question Number 151641 by Tawa11 last updated on 22/Aug/21 Answered by Kamel last updated on 22/Aug/21 $${S}_{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\sum}}\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{3}{k}} {dx}=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}−{x}^{\mathrm{3}{n}}…

Question Number 20523 by Tinkutara last updated on 27/Aug/17 $$\mathrm{Let}\mathrm{the}\mathrm{sum}\underset{n=1}{\sum ^9}\frac{1}{n(n+1)(n+2)}\mathrm{written}$$$$\mathrm{in}\mathrm{its}\mathrm{lowest}\mathrm{terms}\mathrm{be}\frac{p}{q}.\mathrm{Find}\mathrm{the}\mathrm{value}$$$$\mathrm{of}q-p.$$ Answered by ajfour last updated on 27/Aug/17…

Question Number 151585 by peter frank last updated on 22/Aug/21 $$\int \frac{\mathrm{dx}}{\mathrm{x}\sqrt{{\mathrm{a}}^{\mathrm{n}}+{\mathrm{x}}^{\mathrm{n}}}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com