Question Number 56864 by Joel578 last updated on 25/Mar/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{recurrence}\:\mathrm{relation} \\ $$$${a}_{{n}} \:=\:\mathrm{2}{a}_{{n}−\mathrm{1}} \:+\:\mathrm{3}{a}_{{n}−\mathrm{2}} ,\:\mathrm{with}\:{a}_{\mathrm{0}} \:=\:\mathrm{1},\:{a}_{\mathrm{1}} \:=\:\mathrm{2} \\ $$ Commented by maxmathsup by imad last…
Question Number 56832 by maxmathsup by imad last updated on 24/Mar/19 $${let}\:\:{Z}_{{n}} \left({x}\right)={sin}\left({narcsinx}\right)\:\:{with}\:{n}\:{integr} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{roots}\:{of}\:{Z}_{{n}} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{the}\:{fraction}\:{F}\:=\frac{\mathrm{1}}{{Z}_{{n}} \left({x}\right)} \\ $$ Terms of Service Privacy…
Question Number 56830 by maxmathsup by imad last updated on 24/Mar/19 $${let}\:{A}_{{n}} =\prod_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:{cos}\left({kx}\right) \\ $$$$\:{find}\:{a}\:{simple}\:{form}\:{of}\:{A}_{{n}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 56831 by maxmathsup by imad last updated on 24/Mar/19 $${let}\:{f}\left({x}\right)\:=\sqrt{{x}^{\mathrm{2}} +\mathrm{3}}−\mathrm{2}{x}\:−\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx} \\ $$$$\left.\mathrm{2}\right){determine}\:{f}^{−\mathrm{1}} \left({x}\right)\:{and}\:{calculate}\:\int\:{f}^{−\mathrm{1}} \left({x}\right){dx}\:. \\ $$ Commented by…
Question Number 56828 by maxmathsup by imad last updated on 24/Mar/19 $${study}\:{the}\:{convergence}\:{of}\:{u}_{{n}+\mathrm{1}} =\mathrm{2}\sqrt{\mathrm{1}+{u}_{{n}} ^{\mathrm{2}} }−{u}_{{n}} −\mathrm{1}\:\:\:\:{with}\:{u}_{\mathrm{0}} =\mathrm{0} \\ $$ Commented by maxmathsup by imad last…
Question Number 56813 by maxmathsup by imad last updated on 24/Mar/19 $${study}\:{the}\:{sequence}\:\:{U}_{{n}+\mathrm{1}} =\sqrt{\frac{\mathrm{1}+{u}_{{n}} }{\mathrm{2}}} \\ $$$${with}\:{U}_{\mathrm{0}} ={a}>\mathrm{0}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 122337 by benjo_mathlover last updated on 15/Nov/20 $$\:{Find}\:{domain}\:{of}\:{function} \\ $$$$\:{r}\left({x}\right)\:=\:\mathrm{arc}\:\mathrm{cos}\:\:\left(\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:{x}}\right) \\ $$ Commented by liberty last updated on 16/Nov/20 $$\mathrm{The}\:\mathrm{function}\:\mathrm{defined}\:\mathrm{for}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{for}\:\mathrm{which}\:−\mathrm{1}\leqslant\:\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{x}}\:\leqslant\:\mathrm{1}\:. \\…
Question Number 122232 by benjo_mathlover last updated on 15/Nov/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 122128 by bemath last updated on 14/Nov/20 $$\:{For}\:{which}\:{numbers}\:{a},{b},{c},{d}\: \\ $$$${will}\:{the}\:{function}\: \\ $$$$\:\:\:\:\psi\left({x}\right)=\:\frac{{ax}+{b}}{{cx}+{d}}\:{satisfy}\:\psi\left(\psi\left({x}\right)\right)=\:{x}\: \\ $$$${for}\:{all}\:{x}. \\ $$ Commented by liberty last updated on 14/Nov/20…
Question Number 56583 by maxmathsup by imad last updated on 18/Mar/19 $${let}\:{f}\left({x}\right)\:=\frac{{cosx}}{{x}^{\mathrm{2}} \:+\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right)\:\:{then}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){calculste}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$ Commented…