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Question Number 160520 Answers: 1 Comments: 0

Given data : 1,3,3,5,5,5,5,8,9,10,10,12 find the value of quartile 1^(st)

$$\:\mathrm{Given}\:\mathrm{data}\::\:\mathrm{1},\mathrm{3},\mathrm{3},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{8},\mathrm{9},\mathrm{10},\mathrm{10},\mathrm{12} \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{quartile}\:\mathrm{1}^{\mathrm{st}} \\ $$

Question Number 160516 Answers: 1 Comments: 0

Question Number 160508 Answers: 0 Comments: 0

f(x)=27x^3 +5x^2 −2 lim_(x→∞) ((f^(−1) (27x)−f^(−1) (x))/( (x)^(1/3) ))=?

$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{27x}^{\mathrm{3}} +\mathrm{5x}^{\mathrm{2}} −\mathrm{2} \\ $$$$\underset{\mathrm{x}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{f}^{−\mathrm{1}} \left(\mathrm{27x}\right)−\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\:\sqrt[{\mathrm{3}}]{\mathrm{x}}}=? \\ $$

Question Number 160507 Answers: 0 Comments: 0

Question Number 160506 Answers: 0 Comments: 0

Question Number 160504 Answers: 1 Comments: 2

Question Number 160496 Answers: 2 Comments: 0

Question Number 160493 Answers: 1 Comments: 0

montrer a l aide de binome de newton que: Σ_(k=o) ^r (^n _k )(_(r−k) ^m )=(_( r) ^(m+n) )

$${montrer}\:{a}\:{l}\:{aide}\:{de}\:{binome}\:{de}\:{newton}\:{que}:\: \\ $$$$\underset{{k}={o}} {\overset{{r}} {\sum}}\left(\underset{{k}} {\:}^{{n}} \right)\left(_{{r}−{k}} ^{{m}} \right)=\left(_{\:\:\:\:\:{r}} ^{{m}+{n}} \right)\: \\ $$

Question Number 160491 Answers: 0 Comments: 1

Question Number 160487 Answers: 3 Comments: 0

Question Number 160482 Answers: 2 Comments: 1

Question Number 160473 Answers: 1 Comments: 0

Question Number 160466 Answers: 0 Comments: 0

Question Number 160457 Answers: 2 Comments: 0

Simplfy: ((1 + cos𝛂)/(sin^2 𝛂)) : (1 + (((1 + cos𝛂)/(sin𝛂)))^2 )

$$\mathrm{Simplfy}: \\ $$$$\frac{\mathrm{1}\:+\:\mathrm{cos}\boldsymbol{\alpha}}{\mathrm{sin}^{\mathrm{2}} \boldsymbol{\alpha}}\::\:\left(\mathrm{1}\:+\:\left(\frac{\mathrm{1}\:+\:\mathrm{cos}\boldsymbol{\alpha}}{\mathrm{sin}\boldsymbol{\alpha}}\right)^{\mathrm{2}} \right) \\ $$

Question Number 160451 Answers: 2 Comments: 0

Solve the differential system below: { ((y_1 ′=2y_1 +y_2 +y_3 )),((y_2 ′=−2y_1 −y_3 )),((y_3 ′=2y_1 +y_2 +2y_3 )) :}

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{system}\:\mathrm{below}: \\ $$$$\begin{cases}{{y}_{\mathrm{1}} '=\mathrm{2}{y}_{\mathrm{1}} +{y}_{\mathrm{2}} +{y}_{\mathrm{3}} }\\{{y}_{\mathrm{2}} '=−\mathrm{2}{y}_{\mathrm{1}} −{y}_{\mathrm{3}} }\\{{y}_{\mathrm{3}} '=\mathrm{2}{y}_{\mathrm{1}} +{y}_{\mathrm{2}} +\mathrm{2}{y}_{\mathrm{3}} }\end{cases} \\ $$

Question Number 160445 Answers: 1 Comments: 2

Find: ((√2)/2) ∙ ((√(2 + (√2)))/2) ∙ ((√(2 + (√(2 + (√2)))))/2) ∙ ... = ?

$$\mathrm{Find}: \\ $$$$\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\:\centerdot\:\frac{\sqrt{\mathrm{2}\:+\:\sqrt{\mathrm{2}}}}{\mathrm{2}}\:\centerdot\:\frac{\sqrt{\mathrm{2}\:+\:\sqrt{\mathrm{2}\:+\:\sqrt{\mathrm{2}}}}}{\mathrm{2}}\:\centerdot\:...\:=\:? \\ $$

Question Number 160444 Answers: 2 Comments: 0

Find: lim_(x→2) ((Γ((1/x) + 1) - ((√π)/x))/(x^3 - 8)) = ?

$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{2}} {\mathrm{lim}}\frac{\Gamma\left(\frac{\mathrm{1}}{\mathrm{x}}\:+\:\mathrm{1}\right)\:-\:\frac{\sqrt{\pi}}{\mathrm{x}}}{\mathrm{x}^{\mathrm{3}} \:-\:\mathrm{8}}\:=\:? \\ $$

Question Number 160436 Answers: 0 Comments: 0

Question Number 160501 Answers: 1 Comments: 1

Calculate 1) lim_(x→1) ((cos ((Π/2))x)/(1−(√x))) 2) lim_(x→+∞) (e^(1+x) /((1+x)^x ))−(x/e)

$${Calculate} \\ $$$$\left.\mathrm{1}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\mathrm{cos}\:\left(\frac{\Pi}{\mathrm{2}}\right){x}}{\mathrm{1}−\sqrt{{x}}} \\ $$$$\left.\mathrm{2}\right)\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\frac{{e}^{\mathrm{1}+{x}} }{\left(\mathrm{1}+{x}\right)^{{x}} }−\frac{{x}}{{e}} \\ $$

Question Number 160431 Answers: 0 Comments: 0

∫ e^y tany dy

$$\int\:{e}^{{y}} \:{tany}\:{dy}\: \\ $$

Question Number 160432 Answers: 1 Comments: 0

∫ (dx/(sinx+cosx+1))

$$\int\:\frac{{dx}}{{sinx}+{cosx}+\mathrm{1}} \\ $$

Question Number 160427 Answers: 1 Comments: 0

lim_(n→∞) ∫_0 ^1 Σ_(i=1) ^n ((Π_(j=1) ^n (x+(j/n^2 )))/(x+(i/n^2 )))dx=?

$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\mathrm{1}} \underset{\mathrm{i}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\frac{\underset{\mathrm{j}=\mathrm{1}} {\overset{\mathrm{n}} {\prod}}\left(\mathrm{x}+\frac{\mathrm{j}}{\mathrm{n}^{\mathrm{2}} }\right)}{\mathrm{x}+\frac{\mathrm{i}}{\mathrm{n}^{\mathrm{2}} }}\mathrm{dx}=? \\ $$

Question Number 160426 Answers: 0 Comments: 2

Question Number 160424 Answers: 1 Comments: 0

Question Number 160420 Answers: 0 Comments: 0

Question Number 160416 Answers: 0 Comments: 5

guys help what does ∐ mean?

$${guys}\:{help} \\ $$$${what}\:{does}\:\coprod\:{mean}? \\ $$

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