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Question-207935

Question Number 207935 by meo last updated on 31/May/24 Answered by Frix last updated on 01/Jun/24 $$\forall{x}\in\mathbb{R}:\:{F}\left({x}\right)>\mathrm{0} \\ $$$${F}'\left({x}\right)=\mathrm{0} \\ $$$$\mathrm{2}{x}−\mathrm{1}−\frac{\mathrm{4}{x}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }=\mathrm{0} \\ $$$$\mathrm{2}{x}^{\mathrm{5}}…

Question-207904

Question Number 207904 by Ahmed777hamouda last updated on 30/May/24 Commented by Ahmed777hamouda last updated on 30/May/24 $$\mathrm{H}{ow}\:\boldsymbol{\mathrm{prove}}\:\:\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} =\mathrm{2}\boldsymbol{\mathrm{I}}_{{o}} \boldsymbol{\mathrm{J}}_{{n}} \left(\boldsymbol{\mathrm{nx}}\right)\mathrm{cos}\:\left(\boldsymbol{\mathrm{n}}\theta_{\boldsymbol{\mathrm{g}}} +\boldsymbol{\mathrm{n}\theta}_{\boldsymbol{\mathrm{n}}} \right) \\ $$$$\boldsymbol{\mathrm{from}}\:\boldsymbol{\mathrm{fourier}}\:\boldsymbol{\mathrm{series}} \\…

calculer-1-a-k-k-N-

Question Number 207858 by SANOGO last updated on 28/May/24 $${calculer}\:\left(\mathrm{1}−{a}\right)^{{k}} \:\:/{k}\in\overset{} {{N}} \\ $$ Commented by Ghisom last updated on 29/May/24 $$\mathrm{you}\:\mathrm{asked}\:\mathrm{this}\:\mathrm{before}\:\mathrm{and}\:\mathrm{I}\:\mathrm{answered}\:\mathrm{it} \\ $$$$\mathrm{question}\:\mathrm{207825} \\…