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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} \\…

lim-t-0-pi-sin-tx-x-dx-

Question Number 207801 by naka3546 last updated on 27/May/24 $$\underset{{t}\rightarrow\infty} {\mathrm{lim}}\:\:\underset{\mathrm{0}} {\overset{\:\:\:\:\:\:\pi} {\int}}\:\:\frac{\mathrm{sin}\:\left(\mathrm{t}{x}\right)}{{x}}\:{dx}\:\:=\:\centerdot\centerdot\centerdot \\ $$ Commented by naka3546 last updated on 27/May/24 $${t}\:\rightarrow\infty \\ $$…

prove-that-vector-scalar-vector-

Question Number 207812 by Davidtim last updated on 27/May/24 $${prove}\:{that}\:\frac{{vector}}{{scalar}}={vector} \\ $$ Answered by A5T last updated on 27/May/24 $${Let}\:{scalar}=\lambda\in\mathbb{R};\:{and}\:{vector},\boldsymbol{{a}}=\left({a}_{\mathrm{1}} ,{a}_{\mathrm{2}} ,…,{a}_{{n}} \right)\in\mathbb{R}_{{n}} \\ $$$${where}\:{each}\:{a}_{{i}}…