Question Number 17872 by Tinkutara last updated on 11/Jul/17 $$\mathrm{Solve}\:: \\ $$$$\mid{x}\:−\:\mathrm{1}\mid\:+\:\mid{x}\mid\:+\:\mid{x}\:+\:\mathrm{1}\mid\:=\:{x}\:+\:\mathrm{2} \\ $$ Answered by ajfour last updated on 11/Jul/17 $$\:\:\:\mathrm{x}\in\left[\mathrm{0},\:\mathrm{1}\right] \\ $$ Answered…
Question Number 83406 by jagoll last updated on 02/Mar/20 $$\mathrm{If}\:\mathrm{u}_{\mathrm{1}} +\mathrm{u}_{\mathrm{2}} +\mathrm{u}_{\mathrm{3}} +…+\mathrm{u}_{\mathrm{n}} \:=\:\mathrm{2n}^{\mathrm{2}} +\mathrm{n}\: \\ $$$$\mathrm{is}\:\mathrm{a}\:\:\mathrm{AP}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{u}_{\mathrm{1}} +\mathrm{u}_{\mathrm{2}} +\mathrm{u}_{\mathrm{3}} +…+\mathrm{u}_{\mathrm{2n}−\mathrm{2}} +\mathrm{u}_{\mathrm{2n}−\mathrm{1}} \:. \\…
Question Number 17869 by ajfour last updated on 11/Jul/17 Commented by ajfour last updated on 11/Jul/17 $$\mathrm{Q}.\mathrm{17852}\:\:\left(\mathrm{solution}\right) \\ $$ Answered by ajfour last updated on…
Question Number 148942 by ArielVyny last updated on 01/Aug/21 $${M}=\int_{\mathrm{0}} ^{+\infty} \frac{{x}^{\mathrm{2}{n}} {lnx}}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83405 by jagoll last updated on 02/Mar/20 $$\underset{\mathrm{b}\rightarrow\mathrm{1}^{−} } {\mathrm{lim}}\:\int_{\mathrm{0}} ^{\mathrm{b}} \:\frac{\mathrm{sin}\:\left(\mathrm{x}\right)}{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }}\:\mathrm{dx}\:?\: \\ $$ Commented by mr W last updated on 02/Mar/20…
Question Number 17867 by Mr easymsn last updated on 11/Jul/17 $${prove}\:{that}\:\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} +\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} {is}\:{an} \\ $$$${even}\:{integer}\:{and}\:{that}\:\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} −\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} ={w}\sqrt{\mathrm{3}} \\ $$$${for}\:{some}\:{integers}\:{w},{for}\:{all}\:{integer}\:{n}\geqslant\mathrm{1}. \\ $$$$ \\ $$ Answered by…
Question Number 83403 by jagoll last updated on 02/Mar/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{range}\:\mathrm{function}\: \\ $$$$\mathrm{y}\:=\:\frac{\mathrm{1}}{\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by MJS last updated on 02/Mar/20 $${y}=\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)^{\mathrm{2}} }\:\mathrm{defined}\:\mathrm{for}\:{x}\neq\mathrm{1} \\…
Question Number 17866 by Tinkutara last updated on 11/Jul/17 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{sin}\:\mathrm{5}{A}\:=\:\mathrm{5}\:\mathrm{cos}^{\mathrm{4}} \:{A}\:\mathrm{sin}\:{A}\:− \\ $$$$\mathrm{10}\:\mathrm{cos}^{\mathrm{2}} \:{A}\:\mathrm{sin}^{\mathrm{3}} \:{A}\:+\:\mathrm{sin}^{\mathrm{5}} \:{A} \\ $$ Answered by alex041103 last updated on 13/Jul/17…
Question Number 148939 by Rankut last updated on 01/Aug/21 $$\:\left({B}^{\mathrm{3}} −\mathrm{2}{B}^{\mathrm{2}} −\mathrm{4}{B}+\mathrm{8}\right){y}=\mathrm{0} \\ $$$${solve}\:{the}\:{differencial}\:{equation} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 83401 by jagoll last updated on 02/Mar/20 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{6}−\mathrm{8xsin}\:\left(\frac{\mathrm{3}}{\mathrm{x}}\right)\right)=\:? \\ $$ Commented by mathmax by abdo last updated on 02/Mar/20 $$\mathrm{6}−\mathrm{8}{x}\:{sin}\left(\frac{\mathrm{3}}{{x}}\right)\sim\mathrm{6}−\mathrm{8}{x}×\frac{\mathrm{3}}{{x}}\:\Rightarrow{lim}_{{x}\rightarrow\infty} \left(\mathrm{6}−\mathrm{8}{x}\:{sin}\left(\frac{\mathrm{3}}{{x}}\right)\right)=\mathrm{6}−\mathrm{24}=−\mathrm{18} \\…