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Question Number 166033 Answers: 1 Comments: 1

Question Number 166009 Answers: 1 Comments: 4

{ ((x^2 +y^2 +z^2 =70)),((x^3 +y^3 +z^3 =64)),((x^4 +y^4 +z^4 =2002)),(((x+y)(y+z)(z+x)=?)) :} (Use Newton-Identities or otherwise)

$$\begin{cases}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{70}}\\{{x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\mathrm{64}}\\{{x}^{\mathrm{4}} +{y}^{\mathrm{4}} +{z}^{\mathrm{4}} =\mathrm{2002}}\\{\left({x}+{y}\right)\left({y}+{z}\right)\left({z}+{x}\right)=?}\end{cases}\: \\ $$$$\left({Use}\:\boldsymbol{{Newton}}-\boldsymbol{{Identities}}\right. \\ $$$$\left.{or}\:{otherwise}\right) \\ $$

Question Number 166007 Answers: 1 Comments: 1

Question Number 166006 Answers: 0 Comments: 0

chek the series Σ_(n=1) ^∞ cos(n) sin^2 ((1/n)) is converge or diverge ?

$${chek}\:{the}\:{series}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:{cos}\left({n}\right)\:{sin}^{\mathrm{2}} \left(\frac{\mathrm{1}}{{n}}\right)\:{is}\:{converge}\:{or}\:{diverge}\:? \\ $$

Question Number 166017 Answers: 0 Comments: 0

Solve it ! 2 tan^(−1) (√((1−t)(1+t))) − tan^(−1) (1−t) = tan^(−1) t − tan^(−1) (√(1−t^2 ))

$$\mathrm{Solve}\:\:\mathrm{it}\:! \\ $$$$\:\:\mathrm{2}\:\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\left(\mathrm{1}−{t}\right)\left(\mathrm{1}+{t}\right)}\:−\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{1}−{t}\right)\:=\:\mathrm{tan}^{−\mathrm{1}} \:{t}\:−\:\mathrm{tan}^{−\mathrm{1}} \:\sqrt{\mathrm{1}−{t}^{\mathrm{2}} } \\ $$

Question Number 166015 Answers: 0 Comments: 0

study the convergence of integral and find valeur t−> (t/((1+t^2 )^2 ))dt

$${study}\:{the}\:{convergence}\:{of}\:{integral}\:{and}\:{find}\:{valeur} \\ $$$${t}−>\:\frac{{t}}{\left(\mathrm{1}+{t}^{\mathrm{2}} \right)^{\mathrm{2}} }{dt} \\ $$

Question Number 166012 Answers: 1 Comments: 1

Question Number 166013 Answers: 1 Comments: 0

Question Number 165995 Answers: 1 Comments: 0

{ ((sinx+siny=(3/2))),((2^(sin x) +2^(sin y) =2+(√2))) :} faind x=?

$$\begin{cases}{{sinx}+{siny}=\frac{\mathrm{3}}{\mathrm{2}}}\\{\mathrm{2}^{\mathrm{sin}\:{x}} +\mathrm{2}^{\mathrm{sin}\:{y}} =\mathrm{2}+\sqrt{\mathrm{2}}}\end{cases}\:\:\:\:\:\:\:{faind}\:\:\:{x}=? \\ $$

Question Number 165984 Answers: 1 Comments: 1

Question Number 165969 Answers: 0 Comments: 3

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Question Number 165965 Answers: 2 Comments: 0

Question Number 165962 Answers: 0 Comments: 0

Question Number 165955 Answers: 1 Comments: 0

C = ∫_0 ^( π) (dx/(2+cos 2x)) =?

$$\:\:\:\:\mathrm{C}\:=\:\int_{\mathrm{0}} ^{\:\pi} \frac{\mathrm{dx}}{\mathrm{2}+\mathrm{cos}\:\mathrm{2x}}\:=? \\ $$

Question Number 165942 Answers: 1 Comments: 5

Question Number 165949 Answers: 2 Comments: 0

f(x)=((5x−2)/a) ∧f^(−1) (x)=((x+b)/5) faind a×b=?

$${f}\left({x}\right)=\frac{\mathrm{5}{x}−\mathrm{2}}{{a}}\:\:\wedge{f}^{−\mathrm{1}} \left({x}\right)=\frac{{x}+{b}}{\mathrm{5}} \\ $$$${faind}\:\:\:{a}×{b}=? \\ $$

Question Number 165950 Answers: 1 Comments: 0

y=(2x−1)^(100) (d^(99) y/dx^(99) )=?∧(d^(85) y/dx^(85) )=?

$${y}=\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{100}} \\ $$$$\frac{{d}^{\mathrm{99}} {y}}{{dx}^{\mathrm{99}} }=?\wedge\frac{{d}^{\mathrm{85}} {y}}{{dx}^{\mathrm{85}} }=? \\ $$

Question Number 165900 Answers: 1 Comments: 5

Question Number 165881 Answers: 3 Comments: 0

{ (((√(x/y))−(√(y/x))=(3/2))),((x+y+xy=9)) :}

$$\begin{cases}{\sqrt{\frac{{x}}{{y}}}−\sqrt{\frac{{y}}{{x}}}=\frac{\mathrm{3}}{\mathrm{2}}}\\{{x}+{y}+{xy}=\mathrm{9}}\end{cases} \\ $$

Question Number 165879 Answers: 2 Comments: 0

Question Number 165876 Answers: 0 Comments: 3

solve: sin^2 x+sin^2 y+1=sinx+siny+sinxsiny

$${solve}: \\ $$$$\:\:{sin}^{\mathrm{2}} {x}+{sin}^{\mathrm{2}} {y}+\mathrm{1}={sinx}+{siny}+{sinxsiny} \\ $$

Question Number 165872 Answers: 1 Comments: 0

State the domain of thefunction f(×)=(√(9−x^2 ))+3

$$\mathrm{State}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{thefunction} \\ $$$$\mathrm{f}\left(×\right)=\sqrt{\mathrm{9}−\mathrm{x}^{\mathrm{2}} }+\mathrm{3} \\ $$

Question Number 165870 Answers: 1 Comments: 0

f(x^2 − 3) = (√(x − 5)), f((√(21))) = ?

$$\: \\ $$$$\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:−\:\mathrm{3}\right)\:=\:\sqrt{\boldsymbol{\mathrm{x}}\:−\:\mathrm{5}},\:\:\boldsymbol{\mathrm{f}}\left(\sqrt{\mathrm{21}}\right)\:=\:? \\ $$$$\: \\ $$

Question Number 165867 Answers: 1 Comments: 1

2 × x! = ((96)/(2 + 1 − 1)) How much the x is?

$$\mathrm{2}\:×\:{x}!\:=\:\frac{\mathrm{96}}{\mathrm{2}\:+\:\mathrm{1}\:−\:\mathrm{1}} \\ $$$${How}\:{much}\:{the}\:{x}\:{is}? \\ $$

Question Number 165868 Answers: 3 Comments: 0

lim_(x→(π/2)) ((cos x)/(sin x−((sin x+cos x))^(1/3) )) =?

$$\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{x}−\sqrt[{\mathrm{3}}]{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}}\:=? \\ $$

Question Number 165854 Answers: 0 Comments: 12

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