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Question Number 160363 Answers: 0 Comments: 0

s>0 limΣ_(k=1) ^(2n) ( −1)^( k) .((( k)/(2n)) )^( s) = ?

$s > 0$ $l i m \underset{k = 1}{\sum^{2 n}} {(- 1)}^{k} . {(\frac{k}{2 n})}^{s} = ?$

Question Number 160362 Answers: 0 Comments: 0

∫(x^n /( (√(x−x^2 ))))dx=?

$\int \frac{x^{n}}{\sqrt{x - x^{2}}} dx = ?$

Question Number 160361 Answers: 0 Comments: 0

1^o Prove by recrrence that , for n≥28 , n!≥11^n . 2^o Deduce the limite of the suite (((n!)/(10^n ))) when n tend verse +∞.

$1^{o} P r o v e b y r e c r r e n c e t h a t, f o r$ $n ⩾ 28, n! ⩾ 11^{n} .$ $2^{o} D e d u c e t h e l i m i t e o f t h e s u i t e$ $(\frac{n!}{10^{n}}) w h e n n t e n d v e r s e + \infty .$

Question Number 160358 Answers: 1 Comments: 0

∫_0 ^(π/2) ln(sinx)ln(cosx)dx

$\int_{0}^{\frac{π}{2}} \ln (\sin x) \ln (\cos x) d x$

Question Number 160353 Answers: 1 Comments: 0

Question Number 160350 Answers: 1 Comments: 0

Question Number 160349 Answers: 1 Comments: 0

find ∫(dx/(x+e^x ))=?

$f i n d \int \frac{d x}{x + e^{x}} = ?$

Question Number 160344 Answers: 3 Comments: 0

compare the following numbers ((12)/(15)) ,(3/5)

$c o m p a r e t h e f o l l o w i n g n u m b e r s \frac{12}{15}, \frac{3}{5}$

Question Number 160342 Answers: 1 Comments: 0

Question Number 160333 Answers: 0 Comments: 1

Question Number 160325 Answers: 1 Comments: 3

Question Number 160327 Answers: 0 Comments: 0

y = kx ; y = (k/x) ; x = k + 1 find the area of the surrounded figure

$y = kx; y = \frac{k}{x}; x = k + 1$ $find the area of the surrounded figure$

Question Number 160879 Answers: 1 Comments: 1

Question Number 160317 Answers: 1 Comments: 1

Question Number 160341 Answers: 0 Comments: 3

f(f(x))=10x^2 −f(x) faind f(x)

$f (f (x)) = 10 x^{2} - f (x) f a i n d f (x)$

Question Number 160314 Answers: 0 Comments: 2

suppose the probability of a child being a boy is 0.5. Find the probability that a family of 3 children will have (i) at least two boys (ii) exactly two boys (iii) all girls

$s u p p o s e t h e p r o b a b i l i t y o f a c h i l d$ $b e i n g a b o y i s 0.5 . F i n d t h e$ $p r o b a b i l i t y t h a t a f a m i l y o f$ $3 c h i l d r e n w i l l h a v e$ $(i) a t l e a s t t w o b o y s$ $(i i) e x a c t l y t w o b o y s$ $(i i i) a l l g i r l s$

Question Number 160310 Answers: 0 Comments: 1

find the period of the function: y = tan ((πx)/k) + cos ((2πx)/(k + 5))

$find the period of the function :$ $y = \tan \frac{π x}{k} + \cos \frac{2 π x}{k + 5}$

Question Number 160330 Answers: 0 Comments: 0

(du/dx) = e^(((x/u))) find u

$\frac{d u}{d x} = e^{(\frac{x}{u})}$ $f i n d u$

Question Number 160328 Answers: 0 Comments: 0

∫_1 ^( 2e) (√(((x^2 +1)/(ln x)) (√(ln x^2 )))) dx =?

$\int_{1}^{2 e} \sqrt{\frac{x^{2} + 1}{\ln x} \sqrt{\ln x^{2}}} dx = ?$

Question Number 160305 Answers: 0 Comments: 0

Question Number 160304 Answers: 0 Comments: 0

Question Number 160302 Answers: 1 Comments: 0

Question Number 160299 Answers: 0 Comments: 0

Question Number 160291 Answers: 3 Comments: 0

Ω = ∫ ((x^2 −3x+7)/((x^2 −4x+6)^2 )) dx =?

$Ω = \int \frac{x^{2} - 3 x + 7}{{(x^{2} - 4 x + 6)}^{2}} dx = ?$

Question Number 160289 Answers: 2 Comments: 0

Σ_(n≥1) ^∞ (1/(n(2n+1)^2 ))=?

$\underset{n ⩾ 1}{\sum^{\infty}} \frac{1}{n {(2 n + 1)}^{2}} = ?$

Question Number 160283 Answers: 0 Comments: 1

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