Question Number 199370 by mathlove last updated on 02/Nov/23 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{4}{e}^{\mathrm{3}{x}} −\mathrm{9}{e}^{\mathrm{2}{x}} +\mathrm{6}{x}+\mathrm{5}}{{x}^{\mathrm{3}} }=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 199371 by cortano12 last updated on 02/Nov/23 Commented by Frix last updated on 02/Nov/23 $$\frac{\mathrm{1}}{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 199392 by Calculusboy last updated on 03/Nov/23 Answered by mr W last updated on 03/Nov/23 $$\left({x}−\mathrm{3}\right)^{\mathrm{2}} +\left({y}+\mathrm{4}\right)^{\mathrm{2}} =\mathrm{53} \\ $$$$\left({x}+\mathrm{2}\right)^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{13} \\…
Question Number 199393 by Calculusboy last updated on 02/Nov/23 Answered by cortano12 last updated on 03/Nov/23 $$\:\mathrm{A}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{1}+\frac{\mathrm{x}}{\mathrm{2011}}\right)\left(\mathrm{1}+\frac{\mathrm{2x}}{\mathrm{2012}}\right)\left(\mathrm{1}+\frac{\mathrm{3x}}{\mathrm{2013}}\right)−\mathrm{1}}{\mathrm{x}} \\ $$$$\:\:\mathrm{A}=\:\frac{\mathrm{1}}{\mathrm{2011}}\:+\frac{\mathrm{2}}{\mathrm{2012}}\:+\:\frac{\mathrm{3}}{\mathrm{2013}}\: \\ $$ Commented by essaad…
Question Number 199358 by ajfour last updated on 01/Nov/23 Commented by ajfour last updated on 01/Nov/23 $${Find}\:{R}. \\ $$ Answered by mr W last updated…
Question Number 199353 by mr W last updated on 01/Nov/23 $${What}\:{is}\:{the}\:{probability}\:{that}\:{in}\:{a}\:{class}\: \\ $$$${of}\:\mathrm{18}\:{people},\:{there}\:{exists}\:{exactly}\:{a}\: \\ $$$${group}\:{of}\:{exactly}\:\mathrm{3}\:{people}\:{born}\:{on}\:{the} \\ $$$${same}\:{day}\:{of}\:{the}\:{week}? \\ $$ Commented by AST last updated on…
Question Number 199355 by hardmath last updated on 01/Nov/23 Answered by MathematicalUser2357 last updated on 04/Nov/23 $$\Omega\approx\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{n}!}{{n}^{{n}} }\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{k}^{\mathrm{2}{n}} }??? \\ $$ Terms…
Question Number 199349 by BHOOPENDRA last updated on 01/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 199351 by Tawa11 last updated on 01/Nov/23 Answered by MM42 last updated on 02/Nov/23 $${a}+{b}=\mathrm{2} \\ $$$$\left.\int_{\mathrm{0}} ^{\mathrm{4}} \left({a}\sqrt{{x}}+{bx}\right){dx}=\frac{\mathrm{2}{a}}{\mathrm{3}}{x}\sqrt{{x}}+\frac{{b}}{\mathrm{2}}{x}^{\mathrm{2}} \right]_{\mathrm{0}} ^{\mathrm{4}} \:=\mathrm{8} \\…
Question Number 199312 by Mastermind last updated on 01/Nov/23 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{continuity}\:\mathrm{ortherwise}\:\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{following}\:\mathrm{functions} \\ $$$$ \\ $$$$\left.\mathrm{a}\right)\:\frac{\mathrm{7x}^{\mathrm{2}} +\mathrm{x}−\mathrm{3}}{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} } \\ $$$$ \\ $$$$\left.\mathrm{b}\right)\:\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{1} \\ $$$$…