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expression-of-the-sequence-a-n-defined-by-a-0-gt-0-a-1-gt-0-a-n-2-2-1-n-n-2-2-1-n-2n-3-n-2-a-n-1-n-1-n-2-a-n-

Question Number 206351 by MetaLahor1999 last updated on 12/Apr/24 $${expression}\:{of}\:{the}\:{sequence}\:\left({a}_{{n}} \right)\:{defined} \\ $$$${by}\: \\ $$$$\begin{cases}{{a}_{\mathrm{0}} >\mathrm{0}\:,\:{a}_{\mathrm{1}} >\mathrm{0}}\\{{a}_{{n}+\mathrm{2}} =\frac{\mathrm{2}\left(−\mathrm{1}\right)^{{n}} }{{n}+\mathrm{2}}−\frac{\mathrm{2}\left(−\mathrm{1}\right)^{{n}} \left(\mathrm{2}{n}+\mathrm{3}\right)}{{n}+\mathrm{2}}{a}_{{n}+\mathrm{1}} +\frac{{n}+\mathrm{1}}{{n}+\mathrm{2}}{a}_{{n}} }\end{cases} \\ $$ Commented…

3x-2-12x-5-x-2-4x-1-5-0-

Question Number 206251 by TonyCWX08 last updated on 10/Apr/24 $$\mathrm{3}{x}^{\mathrm{2}} −\mathrm{12}{x}−\mathrm{5}\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{1}}−\mathrm{5}=\mathrm{0} \\ $$ Answered by A5T last updated on 10/Apr/24 $$\mathrm{3}\left({x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{1}\right)−\mathrm{2}−\mathrm{5}\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}−\mathrm{1}}=\mathrm{0} \\…

Calcul-x-x-1-1-3-4-x-2-0-3-help-please-

Question Number 206150 by Samuel12 last updated on 08/Apr/24 $$\mathrm{Calcul}\:\:\:\mid\mathrm{x}−\alpha\mid\:=\:????? \\ $$$$\:\:\bullet\:\:\:\:\:\:\mathrm{x}=−\mathrm{1}\:\:;\:\:\:\alpha\:\in\:\left[−\mathrm{1};\:−\frac{\mathrm{3}}{\mathrm{4}}\right] \\ $$$$\:\:\bullet\:\:\:\:\mathrm{x}=\mathrm{2}\:\:;\:\:\:\:\alpha\:\in\:\left[\mathrm{0}\:;\:\mathrm{3}\right]\:\:\:\:\:\:\:\mathrm{help}\:\mathrm{please}\:\: \\ $$ Answered by Frix last updated on 08/Apr/24 $$\mid{x}−\alpha\mid=\begin{cases}{{x}−\alpha;\:{x}−\alpha\geqslant\mathrm{0}}\\{−\left({x}−\alpha\right);\:{x}−\alpha<\mathrm{0}}\end{cases} \\…

Find-total-number-of-solutions-of-the-equation-sinx-logx-

Question Number 206177 by MATHEMATICSAM last updated on 08/Apr/24 $$\mathrm{Find}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solutions}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{equation}\:\mathrm{sin}{x}\:=\:\mathrm{log}{x}. \\ $$ Answered by Frix last updated on 08/Apr/24 $$\mathrm{log}\:{x}\:=\mathrm{ln}\:{x}\:? \\ $$$$−\mathrm{1}\leqslant\mathrm{ln}\:{x}\:\leqslant\mathrm{1}\:\Leftrightarrow\:\mathrm{e}^{−\mathrm{1}} \leqslant{x}\leqslant\mathrm{e}…

Question-206178

Question Number 206178 by naka3546 last updated on 08/Apr/24 Commented by naka3546 last updated on 08/Apr/24 $$\mathrm{Evaluate}\:\mathrm{this}\:\mathrm{integral}\:\mathrm{by}\:\mathrm{interpreting}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{areas}. \\ $$$$\underset{\mathrm{0}} {\int}^{\mathrm{35}} {g}\left({x}\right)\:{dx} \\ $$ Commented by…

can-you-guy-explian-why-we-need-a-eighgen-value-eighgen-vector-and-mean-such-as-Av-v-

Question Number 206107 by MaruMaru last updated on 07/Apr/24 $$\mathrm{can}\:\mathrm{you}\:\mathrm{guy}\:\mathrm{explian}\:\mathrm{why} \\ $$$$\mathrm{we}\:\mathrm{need}\:\mathrm{a}\:\mathrm{eighgen}\:\mathrm{value}\:\mathrm{eighgen}\:\mathrm{vector} \\ $$$$\mathrm{and}\:\mathrm{mean}?? \\ $$$$\mathrm{such}\:\mathrm{as}\:\mathrm{A}\boldsymbol{\mathrm{v}}=\boldsymbol{\lambda\mathrm{v}} \\ $$$$ \\ $$ Commented by mr W last…