Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 473

Question Number 166875 Answers: 2 Comments: 1

Question Number 166872 Answers: 2 Comments: 0

∫_0 ^( ∞) (( e^( −x) .ln(x).sin(x))/x) dx = −(π/8) (2γ + ln(2))

$\int_{0}^{\infty} \frac{e^{- x} . l n (x) . s i n (x)}{x} d x = - \frac{π}{8} (2 γ + l n (2))$

Question Number 166861 Answers: 3 Comments: 7

Question Number 166839 Answers: 1 Comments: 0

∫_(−oo) ^(+oo) ((xe^x )/((1+e^x )^2 ))dx

$\int_{- o o}^{+ o o} \frac{{x e}^{x}}{{(1 + e^{x})}^{2}} d x$

Question Number 166834 Answers: 2 Comments: 0

Question Number 166830 Answers: 1 Comments: 0

Question Number 166829 Answers: 1 Comments: 0

calculate If , f(x)=(( (x^2 +1)(((x^( 2) +x−2)(x^( 4) −1)(x^( 2) +2x−3)+16))^(1/3) + (√(x^( 2) +3)))/(( 1+x +x^( 2) ))) then , f ′ (1 ) =? ■ m.n

$c a l c u l a t e$ $I f, f (x) = \frac{(x^{2} + 1) \sqrt[3]{(x^{2} + x - 2) (x^{4} - 1) (x^{2} + 2 x - 3) + 16} + \sqrt{x^{2} + 3}}{(1 + x + x^{2})}$ $t h e n, f^{'} (1) = ? ◼ m . n$

Question Number 166828 Answers: 0 Comments: 0

calculate: lim_(n→∞) Σ_(k=1) ^n (1/(n+k^α )) .(0<α<1)

$calculate : \lim_{n \to \infty} \underset{k = 1}{\sum^{n}} \frac{1}{n + k^{α}} . (0 < α < 1)$

Question Number 166822 Answers: 1 Comments: 0

Question Number 166818 Answers: 1 Comments: 3

Question Number 166814 Answers: 2 Comments: 0

f(x)=x^n e^(−nx) Determinate f^((n)) (x).

$f (x) = x^{n} e^{- n x}$ $D e t e r m i n a t e f^{(n)} (x) .$

Question Number 166813 Answers: 2 Comments: 0

f(x)=x^(2n) Determinate f^((n)) (x)

$f (x) = x^{2 n}$ $D e t e r m i n a t e f^{(n)} (x)$

Question Number 166812 Answers: 0 Comments: 0

f(x)=e^(nx) cos(x). Determinate f^((n)) (x).

$f (x) = e^{n x} c o s (x) .$ $D e t e r m i n a t e f^{(n)} (x) .$

Question Number 166805 Answers: 1 Comments: 0

f(x)=(x/(1+∣x∣)). show that ∃ K ∈ R_+ such that ∀ x, y ∈ R, ∣f(x)−f(y)∣≤K∣x−y∣

$f (x) = \frac{x}{1 + ∣ x ∣} .$ $s h o w t h a t \exists K \in R_{+} s u c h t h a t$ $\forall x, y \in R, ∣ f (x) - f (y) ∣⩽ K ∣ x - y ∣$

Question Number 166801 Answers: 1 Comments: 2

Calculate: lim_(x→0) ((x−(√x))/( ((sin(x)−tan^2 (x)))^(1/3) ))

$C a l c u l a t e :$ $\underset{x \to 0}{l i m} \frac{x - \sqrt{x}}{\sqrt[3]{s i n (x) - {t a n}^{2} (x)}}$

Question Number 166888 Answers: 1 Comments: 0

Question Number 166892 Answers: 2 Comments: 0

solve in R i: ⌊ x ⌊ x⌋⌋= 3x ii : ⌊x ⌋^( 2) −3 ⌊x ⌋ +2 ≤ 0 −−−−−−

$s o l v e i n R$ $i : ⌊ x ⌊ x ⌋ ⌋ = 3 x$ $i i : ⌊ x ⌋^{2} - 3 ⌊ x ⌋ + 2 ⩽ 0$ $- - - - - -$

Question Number 166891 Answers: 0 Comments: 0

Linearize sin^4 (x)cos^2 (x)

$L i n e a r i z e {s i n}^{4} (x) {c o s}^{2} (x)$

Question Number 166796 Answers: 1 Comments: 0

∫ ((sin^3 x)/((cos^2 x+1)(√(cos^2 x+1)))) dx

$\int \frac{\sin^{3} x}{(\cos^{2} x + 1) \sqrt{\cos^{2} x + 1}} dx$

Question Number 166793 Answers: 1 Comments: 0

Question Number 166797 Answers: 0 Comments: 0

∫((√(x+(√x)))/( (√(x+1)))) dx

$\int \frac{\sqrt{x + \sqrt{x}}}{\sqrt{x + 1}} d x$

Question Number 166787 Answers: 0 Comments: 3

How many permutations of the letters of the word EINSTEIN are possible if the EIN groups must not be next to eachother?

$How many permutations of the$ $letters of the word EINSTEIN are$ $possible if the EIN groups must not$ $be next to eachother ?$

Question Number 166779 Answers: 1 Comments: 0

Question Number 166774 Answers: 0 Comments: 1

Question Number 166771 Answers: 0 Comments: 0

lim_(x→0) (((√(1−cos x))−((sin x))^(1/3) )/(sin^2 x)) =?

$\lim_{x \to 0} \frac{\sqrt{1 - \cos x} - \sqrt[3]{\sin x}}{\sin^{2} x} = ?$

Question Number 166770 Answers: 4 Comments: 6

In how many ways can you go up a staircase with 20 steps if you take one, two or three steps at a time?

$I n h o w m a n y w a y s c a n y o u g o u p a$ $s t a i r c a s e w i t h 20 s t e p s i f y o u t a k e$ $o n e, t w o o r t h r e e s t e p s a t a t i m e ?$

Pg 468 Pg 469 Pg 470 Pg 471 Pg 472 Pg 473 Pg 474 Pg 475 Pg 476 Pg 477

Contact: info@tinkutara.com