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AllQuestion and Answers: Page 1702

Question Number 32424 Answers: 1 Comments: 0

Question Number 32423 Answers: 0 Comments: 0

Question Number 32420 Answers: 0 Comments: 0

Question Number 32419 Answers: 0 Comments: 0

Question Number 32418 Answers: 0 Comments: 1

The number of real roots or x^8 − x^5 − x + 1 = 0 is equal to

$The number of real roots or$ $x^{8} - x^{5} - x + 1 = 0 is equal to$

Question Number 32409 Answers: 1 Comments: 0

Question Number 32407 Answers: 0 Comments: 1

lim_(x→0) ((1−cos (1−cos x))/(x×x×x×x))

$\lim_{x \to 0} \frac{1 - \cos (1 - \cos x)}{x \times x \times x \times x}$

Question Number 32402 Answers: 0 Comments: 1

∫((x+2)/(1−x))

$\int \frac{x + 2}{1 - x}$

Question Number 32401 Answers: 0 Comments: 0

Question Number 32399 Answers: 0 Comments: 0

Question Number 32396 Answers: 1 Comments: 0

roots 2x×x+x+3

$r o o t s$ $2 x \times x + x + 3$

Question Number 32395 Answers: 0 Comments: 1

1+1

$1 + 1$

Question Number 32382 Answers: 2 Comments: 2

If the equation ax^2 +2bx−3c=0 has no real roots and (((3c)/4))< a+b, then

$If the equation {a x}^{2} + 2 b x - 3 c = 0 has$ $no real roots and (\frac{3 c}{4}) < a + b, then$

Question Number 32380 Answers: 1 Comments: 2

Question Number 32379 Answers: 1 Comments: 0

Question Number 32376 Answers: 4 Comments: 1

Question Number 32369 Answers: 0 Comments: 0

prove that n^(−α) ∼ ∫_n ^(n+1) t^(−α) dt 2) prove that Σ_(k=1) ^n (1/k^α ) ∼ (n^(1−α) /(1−α)) if α<1 and Σ_(k=1) ^n (1/k^α ) ∼ ln(n) if α=1 .

$p r o v e t h a t n^{- α} \sim \int_{n}^{n + 1} t^{- α} d t$ $2) p r o v e t h a t \sum_{k = 1}^{n} \frac{1}{k^{α}} \sim \frac{n^{1 - α}}{1 - α} i f α < 1 a n d$ $\sum_{k = 1}^{n} \frac{1}{k^{α}} \sim l n (n) i f α = 1 .$

Question Number 32367 Answers: 0 Comments: 0

let α∈R and x^2 ≠1 find the value of f(x) = ∫_0 ^π ln(x^2 −2x cost +1)dt calculate f(x).

$l e t α \in R a n d x^{2} \neq 1 f i n d t h e v a l u e o f$ $f (x) = \int_{0}^{π} l n (x^{2} - 2 x c o s t + 1) d t$ $c a l c u l a t e f (x) .$

Question Number 32365 Answers: 0 Comments: 3

let F(x) = ∫_0 ^π ln(1+xcosθ)dθ .with ∣x∣<1 find F(x) .

$l e t F (x) = \int_{0}^{π} l n (1 + x c o s θ) d θ . w i t h ∣ x ∣< 1$ $f i n d F (x) .$

Question Number 32364 Answers: 0 Comments: 1

let u_n = (e −(1+(1/n))^n )^((√(n^2 +2)) −(√(n^2 +1))) find lim u_n

$l e t u_{n} = {(e - {(1 + \frac{1}{n})}^{n})}^{\sqrt{n^{2} + 2} - \sqrt{n^{2} + 1}}$ $f i n d l i m u_{n}$

Question Number 32363 Answers: 0 Comments: 1

let consider the function f(x,θ) = ∫_x ^x^2 ln( 2+sinθ cost)dt calculate (∂f/∂x)(x,θ) and (∂f/∂θ)(x,θ) .

$l e t c o n s i d e r t h e f u n c t i o n$ $f (x, θ) = \int_{x}^{x^{2}} l n (2 + s i n θ c o s t) d t$ $c a l c u l a t e \frac{\partial f}{\partial x} (x, θ) a n d \frac{\partial f}{\partial θ} (x, θ) .$

Question Number 32362 Answers: 1 Comments: 0

calculate ∫_0 ^∞ (dx/((2x+1)(2x+3)(2x+5))) .

$c a l c u l a t e \int_{0}^{\infty} \frac{d x}{(2 x + 1) (2 x + 3) (2 x + 5)} .$

Question Number 32361 Answers: 0 Comments: 1

let give a>0 find ∫_0 ^∞ (e^(−x) /(√(x+a))) dx.

$l e t g i v e a > 0 f i n d \int_{0}^{\infty} \frac{e^{- x}}{\sqrt{x + a}} d x .$

Question Number 32360 Answers: 0 Comments: 1

find the value of ∫_0 ^∞ (dx/((2x+1)(2x+3))) .

$f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{d x}{(2 x + 1) (2 x + 3)} .$

Question Number 32359 Answers: 0 Comments: 1

find ∫_0 ^∞ (dx/((1+x^2 )(1+x^4 ))) .

$f i n d \int_{0}^{\infty} \frac{d x}{(1 + x^{2}) (1 + x^{4})} .$

Question Number 32357 Answers: 1 Comments: 0

x^2 +ax−24=0 root is integer a range i cant speak english well. sorry

$x^{2} + a x - 24 = 0$ $r o o t i s i n t e g e r$ $a r a n g e$ $i c a n t s p e a k e n g l i s h w e l l . s o r r y$

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