Question Number 39203 by math khazana by abdo last updated on 03/Jul/18 $${study}\:{and}\:{give}\:{the}\:{graph}\:{of}\: \\ $$$${f}\left({x}\right)\:=\:\:\frac{{e}^{−{x}^{\mathrm{2}} } }{{x}^{\mathrm{2}} \:+\mathrm{3}\:{e}^{{x}} } \\ $$ Terms of Service Privacy…
Question Number 39121 by rahul 19 last updated on 02/Jul/18 $$\mathrm{Find}\:\mathrm{domain}\:\mathrm{of}\:\:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{x}} \:? \\ $$$$\mathrm{Also}\:\mathrm{prove}\:\mathrm{that}\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{L}}\:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{x}} \:=\:\mathrm{1}\:? \\ $$ Commented by math khazana by abdo…
Question Number 39038 by maxmathsup by imad last updated on 01/Jul/18 $${let}\:{f}\left({z}\right)\:=\:\frac{{z}}{{z}^{\mathrm{2}} \:−{z}+\mathrm{2}} \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by prof Abdo imad last updated on…
Question Number 39018 by maxmathsup by imad last updated on 01/Jul/18 $${find}\:{nature}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{\left[{x}\right]} }{\mathrm{2}+{cos}\left({n}\left[{x}\right]\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 38942 by math khazana by abdo last updated on 01/Jul/18 $${find}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}{cos}\left({nx}\right)\:{and}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}{sin}\left({nx}\right) \\ $$ Commented by prof Abdo…
Question Number 169987 by cortano1 last updated on 13/May/22 Answered by greougoury555 last updated on 13/May/22 $${PT}_{\mathrm{1}} \:\equiv\:−\mathrm{32}{x}+\mathrm{30}{y}=\mathrm{254} \\ $$$${PT}_{\mathrm{2}} \:\equiv\:\mathrm{3}{x}−\mathrm{5}{y}\:=\:\mathrm{9} \\ $$$$\:\mathrm{tan}\:\alpha\:=\:\frac{\frac{\mathrm{16}}{\mathrm{15}}−\frac{\mathrm{3}}{\mathrm{5}}}{\mathrm{1}+\frac{\mathrm{48}}{\mathrm{75}}}\:=\:\frac{\mathrm{35}}{\mathrm{123}}\: \\ $$…
Question Number 38898 by math khazana by abdo last updated on 01/Jul/18 $${find}\:{nature}\:{od}\:{the}\:{seri}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{n}\left(−\mathrm{1}\right)^{\left[{x}\right]} }{\mathrm{1}+{n}\left[{x}\right]^{\mathrm{3}} } \\ $$ Commented by math khazana by abdo…
Question Number 169932 by Mathspace last updated on 12/May/22 $${if}\:{x}+\frac{\mathrm{1}}{{x}}={cos}\theta\:\:{find} \\ $$$${x}^{{n}} +\frac{\mathrm{1}}{{x}^{{n}} }\:{interm}\:{of}\:\theta \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 169922 by cortano1 last updated on 12/May/22 $$\:\:{Let}\:{f}\left({x}\right)=\frac{\mathrm{2}{x}−\mathrm{7}}{{x}+\mathrm{1}}\:.\:{Compute}\:{f}^{\mathrm{1989}} \left({x}\right). \\ $$$$\:{note}\:{f}^{\mathrm{2}} \left({x}\right)=\:{f}\left({f}\left({x}\right)\right) \\ $$ Answered by floor(10²Eta[1]) last updated on 12/May/22 $$\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\right)=\mathrm{f}\left(\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}\right)=\frac{\mathrm{2}\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}−\mathrm{7}}{\frac{\mathrm{2x}−\mathrm{7}}{\mathrm{x}+\mathrm{1}}+\mathrm{1}}=\frac{−\mathrm{3x}−\mathrm{21}}{\mathrm{3x}−\mathrm{6}}=\frac{−\mathrm{x}−\mathrm{7}}{\mathrm{x}−\mathrm{2}} \\…
Question Number 38740 by abdo.msup.com last updated on 29/Jun/18 $${find}\:{tbe}\:{polynom}\:{p}\:{withdegre}\:\mathrm{5}\:{wich}\:{verify} \\ $$$${p}\left({x}+\mathrm{1}\right)−{p}\left({x}\right)={x}^{\mathrm{4}} \:\:{and}\:{p}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${for}\:{that}\:{put}\:{p}\left({x}\right)={ax}^{\mathrm{5}} \:+{bx}^{\mathrm{4}} \:+{cx}^{\mathrm{3}} \:+{dx}^{\mathrm{2}} \\ $$$$+{ex}\:+{f}\:\:{and}\:{find}\:{the}\:{coefficients}. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{interms}\:{of}\:{n}\:{the}\:{value}\:{of} \\ $$$${sum}\:\mathrm{1}\:+\mathrm{2}^{\mathrm{4}} \:+\mathrm{3}^{\mathrm{4}}…