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Category: Algebra

expand-y-e-x-about-the-point-x-1-using-taylor-s-series-

Question Number 9400 by tawakalitu last updated on 04/Dec/16 $$\mathrm{expand}\::\:\:\mathrm{y}\:=\:\mathrm{e}^{\mathrm{x}} \:,\:\mathrm{about}\:\mathrm{the}\:\mathrm{point}\:\mathrm{x}\:=\:\mathrm{1} \\ $$$$\mathrm{using}\:\mathrm{taylor}'\mathrm{s}\:\mathrm{series}. \\ $$ Answered by 123456 last updated on 04/Dec/16 $${y}=\frac{{dy}}{{dx}}=…\:\mathrm{for}\:{y}={e}^{{x}} \\ $$$$\mathrm{taylor}\:\mathrm{serie}…

a-b-c-R-x-1-ax-4-bx-2-c-1-x-2-1-proof-a-16-

Question Number 140468 by mathdanisur last updated on 08/May/21 $${a};{b};{c}\in\mathbb{R}\:;\:\forall\mid{x}\mid\leqslant\mathrm{1} \\ $$$$\mid{ax}^{\mathrm{4}} +{bx}^{\mathrm{2}} +{c}\mid\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\leqslant\mathrm{1}\:;\:{proof}\:\mid{a}\mid\leqslant\mathrm{16} \\ $$ Commented by mathdanisur last updated on 11/May/21 $${Sir},\:{mr}.{W}\:{my}\:{dear}\:{friend}\:{please}……

Find-all-2-2-matrices-A-with-A-3-3A-2-2-2-2-2-

Question Number 140459 by EDWIN88 last updated on 08/May/21 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{2}×\mathrm{2}\:\mathrm{matrices}\:\mathrm{A}\:\mathrm{with}\: \\ $$$$\:\mathrm{A}^{\mathrm{3}} −\mathrm{3A}^{\mathrm{2}} \:=\:\begin{pmatrix}{−\mathrm{2}\:\:\:\:\:\:−\mathrm{2}}\\{−\mathrm{2}\:\:\:\:\:\:−\mathrm{2}}\end{pmatrix}\:.\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

x-2-yz-1-y-2-xz-2-z-2-xy-3-x-y-z-

Question Number 74912 by behi83417@gmail.com last updated on 03/Dec/19 $$\begin{cases}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} =\boldsymbol{\mathrm{yz}}+\mathrm{1}}\\{\boldsymbol{\mathrm{y}}^{\mathrm{2}} =\boldsymbol{\mathrm{xz}}+\mathrm{2}}\\{\boldsymbol{\mathrm{z}}^{\mathrm{2}} =\boldsymbol{\mathrm{xy}}+\mathrm{3}}\end{cases}\:\:\:\:\Rightarrow\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}+\boldsymbol{\mathrm{z}}=? \\ $$ Answered by MJS last updated on 03/Dec/19 $${y}={px}\wedge{z}={qx} \\ $$$$\left(\mathrm{1}\right)\:\:\left(\mathrm{1}−{pq}\right){x}^{\mathrm{2}}…

Solve-x-3-18x-32-0-

Question Number 9378 by tawakalitu last updated on 03/Dec/16 $$\mathrm{Solve}: \\ $$$$\mathrm{x}^{\mathrm{3}} \:−\:\mathrm{18x}\:−\:\mathrm{32}\:=\:\mathrm{0} \\ $$ Answered by mrW last updated on 03/Dec/16 $$\mathrm{a}=\mathrm{1},\:\mathrm{b}=\mathrm{0},\:\mathrm{c}=−\mathrm{18},\:\mathrm{d}=−\mathrm{32} \\ $$$$\Delta=\mathrm{b}^{\mathrm{2}}…

If-the-straight-lines-a-i-z-a-i-z-b-i-0-i-1-2-3-where-b-i-are-real-are-concurrent-then-b-i-a-2-a-3-a-2-a-3-is-equal-to-

Question Number 140445 by EnterUsername last updated on 07/May/21 $$\mathrm{If}\:\mathrm{the}\:\mathrm{straight}\:\mathrm{lines}\:\bar {{a}}_{{i}} {z}+{a}_{{i}} \bar {{z}}+{b}_{{i}} =\mathrm{0}\left({i}=\mathrm{1},\:\mathrm{2},\:\mathrm{3}\right),\:\mathrm{where} \\ $$$${b}_{{i}} \:\mathrm{are}\:\mathrm{real},\:\mathrm{are}\:\mathrm{concurrent},\:\mathrm{then}\:\Sigma{b}_{{i}} \left({a}_{\mathrm{2}} \bar {{a}}_{\mathrm{3}} −\bar {{a}}_{\mathrm{2}} {a}_{\mathrm{3}} \right)\:\mathrm{is}…