Question Number 52673 by maxmathsup by imad last updated on 11/Jan/19 $${let}\:{f}\left({x}\right)=\left({x}^{{n}} −\mathrm{1}\right){e}^{{x}} \:\:\:{determine}\:{f}^{\left({n}\right)} \left({x}\right)\:\:\:{with}\:{n}\:{integr}\:{natural} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 52671 by maxmathsup by imad last updated on 11/Jan/19 $${study}\:{the}\:{sequence}\:{u}_{\mathrm{0}} =\mathrm{1}\:{and}\:{u}_{{n}+\mathrm{1}} \:\:=\frac{\mathrm{1}}{\mathrm{1}+{u}_{{n}} ^{\mathrm{2}} } \\ $$ Commented by maxmathsup by imad last updated…
Question Number 52669 by maxmathsup by imad last updated on 11/Jan/19 $${let}\:{S}_{{n}\:} \:\left({p}\right)=\sum_{{k}=\mathrm{0}} ^{{n}} \:{k}^{{p}} \\ $$$${prove}\:{that}\:{S}_{{n}} \left({p}\right)=\frac{\mathrm{1}}{{p}+\mathrm{1}}\left\{\:\left({n}+\mathrm{1}\right)^{{p}+\mathrm{1}} \:−\sum_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:{C}_{{p}+\mathrm{1}} ^{{k}} \:{S}_{{n}} \left({k}\right)\right\} \\…
Question Number 52670 by maxmathsup by imad last updated on 11/Jan/19 $${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:{sin}\left(\pi\sqrt{\mathrm{4}{n}^{\mathrm{2}} +\mathrm{1}}\right) \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 183712 by Michaelfaraday last updated on 29/Dec/22 $${solve}: \\ $$$${W}\left({In}\left(\mathrm{4}{x}\right)\right)=\sqrt{\left({x}−\mathrm{1}\right)} \\ $$ Answered by mr W last updated on 29/Dec/22 $${e}^{\mathrm{ln}\:\left(\mathrm{4}{x}\right)} \mathrm{ln}\:\left(\mathrm{4}{x}\right)=\sqrt{{x}−\mathrm{1}} \\…
Question Number 118150 by bobhans last updated on 15/Oct/20 $$\mathrm{Determine}\:\mathrm{all}\:\mathrm{function}\:\mathrm{f}:\mathbb{R}\diagdown\left\{\mathrm{0},\mathrm{1}\right\}\:\rightarrow\mathbb{R} \\ $$$$\mathrm{satisfying}\:\mathrm{the}\:\mathrm{functional}\:\mathrm{relation} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{1}−\mathrm{x}}\right)\:=\:\frac{\mathrm{2}\left(\mathrm{1}−\mathrm{2x}\right)}{\mathrm{x}\left(\mathrm{1}−\mathrm{x}\right)};\:\mathrm{for}\:\mathrm{x}\neq\mathrm{0}\:\mathrm{and}\:\mathrm{x}\neq\mathrm{1} \\ $$ Commented by bemath last updated on 15/Oct/20 $${good}\:{question} \\…
Question Number 117857 by bemath last updated on 14/Oct/20 $$\mathrm{Let}\:\mathrm{n}\in\mathbb{N}\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\: \\ $$$$\mathrm{polynomials}\:\mathrm{p}\left(\mathrm{x}\right)\:\mathrm{with}\:\mathrm{coefficients} \\ $$$$\mathrm{in}\:\left\{\:\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3}\:\right\}\:\mathrm{such}\:\mathrm{that}\:\mathrm{p}\left(\mathrm{2}\right)=\:\mathrm{n}\: \\ $$ Answered by mindispower last updated on 14/Oct/20 $${let}\:{p}\left({x}\right)=\underset{{k}\leqslant{n}} {\sum}{a}_{{k}}…
Question Number 52305 by Abdo msup. last updated on 05/Jan/19 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}\left(\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}\right)} \\ $$ Commented by Abdo msup. last updated on 06/Jan/19…
Question Number 183158 by cortano1 last updated on 21/Dec/22 $$\:{Given}\:{f}\left({x}\right)=\:\frac{\left[\frac{\mathrm{1}}{\mathrm{3}}{x}\right]\mid\mathrm{2}{x}\mid+{Ax}}{\mid\mathrm{4}−{x}^{\mathrm{2}} \mid} \\ $$$$\:{if}\:{f}\:'\left(−\mathrm{1}\right)=\:\mathrm{5}\:{then}\:{A}=? \\ $$$$\left[\:\:\:\:\right]\:=\:{floor}\:{function}\: \\ $$ Answered by TheSupreme last updated on 21/Dec/22 $${f}\left({x}\right)=\frac{{g}\left({x}\right){h}\left({x}\right)}{{u}\left({x}\right)}+\frac{{Ax}}{\mathrm{4}−{x}^{\mathrm{2}}…
Question Number 183119 by universe last updated on 20/Dec/22 Terms of Service Privacy Policy Contact: info@tinkutara.com