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Question Number 183913    Answers: 0   Comments: 0

Question Number 183893    Answers: 0   Comments: 2

Question Number 183886    Answers: 4   Comments: 0

Question Number 183879    Answers: 0   Comments: 0

Question Number 183865    Answers: 1   Comments: 0

Question Number 183864    Answers: 4   Comments: 2

Question Number 183863    Answers: 1   Comments: 0

Question Number 183850    Answers: 0   Comments: 0

𝚺_(n=1) ^∞ (1/(n^3 (((6n)),((3n)) )))

$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\frac{\mathrm{1}}{\boldsymbol{\mathrm{n}}^{\mathrm{3}} \begin{pmatrix}{\mathrm{6}\boldsymbol{\mathrm{n}}}\\{\mathrm{3}\boldsymbol{\mathrm{n}}}\end{pmatrix}} \\ $$

Question Number 183848    Answers: 2   Comments: 1

Question Number 183847    Answers: 5   Comments: 0

Question Number 183846    Answers: 4   Comments: 0

Question Number 183845    Answers: 2   Comments: 0

Question Number 183844    Answers: 2   Comments: 0

Question Number 183843    Answers: 1   Comments: 0

Question Number 183835    Answers: 2   Comments: 0

Resoudre le systeme abc =30 a+b+c =10 ab+bc+ac=31

$${Resoudre}\:{le}\:{systeme} \\ $$$$\:\:\mathrm{abc}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{30} \\ $$$$\:\:\:\mathrm{a}+\mathrm{b}+\mathrm{c}\:\:\:\:\:\:\:=\mathrm{10} \\ $$$$\:\:\:\mathrm{ab}+\mathrm{bc}+\mathrm{ac}=\mathrm{31} \\ $$$$ \\ $$

Question Number 183827    Answers: 1   Comments: 0

calcul: S=Σ_(n=2 ) ^(+oo) (n/((n^2 −1)^2 ))

$${calcul}:\:\:{S}=\underset{{n}=\mathrm{2}\:\:} {\overset{+{oo}} {\sum}}\frac{{n}}{\left({n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 183825    Answers: 1   Comments: 0

solve for x by using lambert function 2^x +3x=8

$${solve}\:{for}\:{x}\:{by}\:{using}\:{lambert}\:{function} \\ $$$$\mathrm{2}^{{x}} +\mathrm{3}{x}=\mathrm{8} \\ $$

Question Number 183815    Answers: 1   Comments: 0

Question Number 183814    Answers: 1   Comments: 0

determine eigen values and eigen vectors for each λ . and verify Ax=λx A= [(((√3)/2),(−(1/2))),((1/2),( ((√3)/2))) ]

$${determine}\:{eigen}\:{values}\:{and}\:{eigen}\:{vectors}\:{for} \\ $$$${each}\:\lambda\:.\:{and}\:{verify}\:{Ax}=\lambda{x} \\ $$$${A}=\begin{bmatrix}{\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}}&{−\frac{\mathrm{1}}{\mathrm{2}}}\\{\frac{\mathrm{1}}{\mathrm{2}}}&{\:\:\:\:\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}}\end{bmatrix} \\ $$

Question Number 183806    Answers: 1   Comments: 0

∫ ((√(x+(√(x^2 +25))))/x) dx =?

$$\:\:\int\:\frac{\sqrt{{x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{25}}}}{{x}}\:{dx}\:=? \\ $$

Question Number 183803    Answers: 1   Comments: 0

Question Number 183783    Answers: 0   Comments: 0

Question Number 183777    Answers: 2   Comments: 1

Question Number 183776    Answers: 0   Comments: 0

Question Number 183773    Answers: 2   Comments: 0

In a square (ABCD) there is a quarter of a circle ADC (AD = DC), put a point N in the arc AC such that AN = 1 and NC = 2(√2) find BN.

$$\:{In}\:{a}\:{square}\:\left({ABCD}\right)\:{there}\:{is}\:{a}\:{quarter}\:{of} \\ $$$$\:{a}\:{circle}\:{ADC}\:\left({AD}\:=\:{DC}\right),\:{put}\:{a}\:{point}\:{N} \\ $$$$\:{in}\:{the}\:{arc}\:{AC}\:{such}\:{that}\:{AN}\:=\:\mathrm{1}\:{and}\:{NC}\:=\:\mathrm{2}\sqrt{\mathrm{2}} \\ $$$$\:{find}\:{BN}.\: \\ $$$$\: \\ $$

Question Number 183767    Answers: 1   Comments: 0

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