Category: Relation and Functions

Question Number 192181 by momdli last updated on 10/May/23 Answered by AST last updated on 10/May/23 $$\mathrm{2}{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{{x}}{\mathrm{2}}\Rightarrow{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{\mathrm{1}}{\mathrm{12}} \\ $$$$\Rightarrow{f}\left({x}\right)=\frac{\mathrm{6}{x}−\mathrm{1}}{\mathrm{24}}\Rightarrow{f}\left(\mathrm{3}\right)=\frac{\mathrm{17}}{\mathrm{24}} \\ $$ Terms of Service Privacy…

Question Number 60706 by maxmathsup by imad last updated on 24/May/19 $${let}\:{f}\left({x}\right)\:=\sqrt{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$$$\left.\mathrm{1}\right)\:{let}\:{U}_{{n}} ={f}^{\left({n}\right)} \left({x}\right)\:\:{prove}\:{that}\:\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:{U}_{{k}} {U}_{{n}+\mathrm{1}−{k}} =\mathrm{0}\:\:{for}\:{n}\geqslant\mathrm{2} \\ $$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:.…

Question Number 60682 by maxmathsup by imad last updated on 24/May/19 $${simplify}\:\:\:\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\:{sin}^{{k}} \left({x}\right){cos}\left({kx}\right)\:\:\: \\ $$ Commented by mathsolverby Abdo last updated on…

Question Number 60676 by maxmathsup by imad last updated on 24/May/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\:{sin}^{\mathrm{2}} \left(\frac{{k}\pi}{{n}^{\mathrm{2}} }\right)\:\:\:\:\:{find}\:{lim}_{{n}\rightarrow\infty} \:\:{S}_{{n}} \\ $$ Commented by maxmathsup by imad…

Question Number 191732 by Spillover last updated on 29/Apr/23 $${Find}\:{the}\:{relative}\:{maximum}\:{and}\:{minimum} \\ $$$${of}\:{the}\:{function} \\ $$$${f}\left({x},{y}\right)=\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} −\mathrm{3x}−\mathrm{12y}+\mathrm{20} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com