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Question-130399

Question Number 130399 by gowsalya last updated on 25/Jan/21 Answered by Dwaipayan Shikari last updated on 25/Jan/21 $${f}\left({x}\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {x}^{{n}} ={a}_{\mathrm{0}} +{a}_{\mathrm{1}} {x}+{a}_{\mathrm{2}} {x}^{\mathrm{2}}…

Question-130369

Question Number 130369 by gowsalya last updated on 24/Jan/21 Answered by Olaf last updated on 24/Jan/21 $$\Omega\:=\:\int_{\mid{z}\mid=\mathrm{1}} {xdz} \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{cos}\theta{d}\left(\mathrm{cos}\theta+{i}\mathrm{sin}\theta\right) \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\mathrm{2}\pi}…

Question-130370

Question Number 130370 by gowsalya last updated on 24/Jan/21 Answered by TheSupreme last updated on 24/Jan/21 $${z}={e}^{{i}\theta} \\ $$$$\mid{dz}\mid=\mid{ie}^{{i}\theta} {d}\theta\mid={d}\theta \\ $$$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mid{e}^{{i}\theta} −\mathrm{1}\mid{d}\theta…

x-2-4x-3-x-2-6x-4-1-

Question Number 130337 by EDWIN88 last updated on 24/Jan/21 $$\:\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{3}\right)^{\mathrm{x}^{\mathrm{2}} −\mathrm{6x}+\mathrm{4}} \:\leqslant\:\mathrm{1}\: \\ $$ Answered by mathmax by abdo last updated on 24/Jan/21 $$\mathrm{e}\Rightarrow\mathrm{e}^{\left(\mathrm{x}^{\mathrm{2}}…