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Category: Algebra

Find-0-1-pi-4-arctan-x-1-x-dx-

Question Number 163144 by HongKing last updated on 04/Jan/22 $$\mathrm{Find}:\:\:\:\boldsymbol{\Omega}\:=\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\frac{\pi}{\mathrm{4}}\:-\:\mathrm{arctan}\left(\mathrm{x}\right)}{\mathrm{1}\:-\:\mathrm{x}}\:\mathrm{dx} \\ $$ Answered by mnjuly1970 last updated on 04/Jan/22 $$−−− \\ $$$$\:\:\:{solution} \\…

If-z-6-8i-4-then-Minimum-value-of-z-is-A-4-B-5-C-6-D-8-

Question Number 32049 by rahul 19 last updated on 18/Mar/18 $$\boldsymbol{{I}}{f}\:\mid\boldsymbol{{z}}−\mathrm{6}−\mathrm{8}\boldsymbol{{i}}\mid\leqslant\mathrm{4}\:{then}\:\boldsymbol{{M}}{inimum}\:{value} \\ $$$${of}\:\mid\boldsymbol{{z}}\mid\:{is}\: \\ $$$$\left.{A}\right)\:\mathrm{4}\: \\ $$$$\left.{B}\right)\:\mathrm{5} \\ $$$$\left.{C}\right)\:\mathrm{6} \\ $$$$\left.{D}\right)\:\mathrm{8}. \\ $$ Answered by…

Question-97564

Question Number 97564 by Power last updated on 08/Jun/20 Answered by Rio Michael last updated on 09/Jun/20 $$\mathrm{Ones}\:\mathrm{our}\:\mathrm{teacher}\:\mathrm{put}\:\mathrm{this}\:\mathrm{on}\:\mathrm{the}\:\mathrm{board},\:\mathrm{we}\:\mathrm{puzzeled}\:\mathrm{even} \\ $$$$\mathrm{the}\:\mathrm{geniuses}\:\mathrm{of}\:\mathrm{our}\:\mathrm{class}\:\mathrm{tried}\:\mathrm{it}\:\mathrm{out}\:\mathrm{but}\:\mathrm{it}\:\mathrm{turned}\:\mathrm{out} \\ $$$$\mathrm{even}\:\mathrm{the}\:\mathrm{teacher}\:\mathrm{couldn}'\mathrm{t}\:\mathrm{find}\:\mathrm{a}\:\mathrm{particular}\:\mathrm{summation}\:\mathrm{formula} \\ $$$$\mathrm{which}\:\mathrm{described}\:\mathrm{this}\:\mathrm{series}\:\mathrm{even}\:\mathrm{to}\:\mathrm{an}\:\mathrm{approximate}.\:\mathrm{Some}\: \\…

1-u-x-x-x-y-2-u-x-y-x-y-

Question Number 163099 by HongKing last updated on 03/Jan/22 $$\mathrm{1}.\:\mathrm{u}_{\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{x}}} \:=\:\boldsymbol{\mathrm{x}}\:+\:\boldsymbol{\mathrm{y}} \\ $$$$\mathrm{2}.\:\boldsymbol{\mathrm{u}}_{\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{y}}} \:=\:\boldsymbol{\mathrm{x}}\:-\:\boldsymbol{\mathrm{y}} \\ $$ Answered by mr W last updated on 04/Jan/22 $$\left.\mathrm{1}\right)…

Question-163098

Question Number 163098 by amin96 last updated on 03/Jan/22 Answered by Rasheed.Sindhi last updated on 03/Jan/22 $${f}\left({x}+{y}\right)={f}\left({x}\right)×{f}\left({y}\right)\:,\:{f}^{\:'} \left(\mathrm{0}\right)=\mathrm{2} \\ $$$${f}\:'\left({x}\right)=? \\ $$$$\: \\ $$$${f}\left({x}+{y}\right)={f}\left({x}\right)×{f}\left({y}\right) \\…