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Question Number 55669 Answers: 0 Comments: 0

Question Number 55668 Answers: 1 Comments: 3

Find all functions y=f(x) such that y′y′′=y′′′.

$F i n d a l l f u n c t i o n s y = f (x) s u c h t h a t$ $y^{'} y^{″} = y^{‴} .$

Question Number 55666 Answers: 0 Comments: 0

Question Number 55665 Answers: 0 Comments: 0

Question Number 55663 Answers: 2 Comments: 0

Question Number 55658 Answers: 1 Comments: 0

find the difference of the roots of the following quadratic equation (3+2(√(2 )))x^2 +(1+(√2))x =2

$find the difference of the roots of the$ $following quadratic equation$ $(3 + 2 \sqrt{2}) x^{2} + (1 + \sqrt{2}) x = 2$

Question Number 55643 Answers: 0 Comments: 1

known function f diferensiable continues at [a, b] If f(a)=f(b)=0 and ∫_a ^b [f(x)]^2 dx=1 Prove that ∫_a ^b x^2 [f′(x)]^2 dx ≥(1/4)

$known function f$ $diferensiable continues at [a, b]$ $If f (a) = f (b) = 0$ $and$ $\int_{a}^{b} {[f (x)]}^{2} d x = 1$ $Prove that$ $\int_{a}^{b} x^{2} {[f^{'} (x)]}^{2} d x ⩾ \frac{1}{4}$

Question Number 55642 Answers: 0 Comments: 0

Prove the following statements: If for every n , f_n form ascend function and {f_n } uniform convergences to f at [a, b], then lim_(n→∞) ∫_a ^b f_n (x) dx →∫_a ^b f(x) dx

$Prove the following statements :$ $If for every n, f_{n} form ascend function$ $and {f_{n}} uniform convergences$ $to f at [a, b], then$ $\lim_{n \to \infty} \int_{a}^{b} f_{n} (x) d x \to \int_{a}^{b} f (x) d x$

Question Number 55641 Answers: 0 Comments: 1

Studies of convergences the numbers real sequence {x_n }, with x_1 =1 and x_(n+1) =((x_n ^2 +2)/(2x_n )), n≥1

$Studies of convergences$ $the numbers real sequence {x_{n}},$ $with x_{1} = 1 and x_{n + 1} = \frac{x_{n}^{2} + 2}{2 x_{n}}, n ⩾ 1$

Question Number 55640 Answers: 0 Comments: 0

known real numbers sequence {a_n } and {b_n } both of them convergences to 0. If {b_n } monotonous descend and lim_(n→∞) ((a_(n+1) −a_n )/(b_(n+1) −b_n )) . then lim_(n→∞) (a_n /(2b_n ))=..

$known real numbers sequence$ ${a_{n}} and {b_{n}} both of them$ $convergences to 0 .$ $If {b_{n}} monotonous descend$ $and \lim_{n \to \infty} \frac{a_{n + 1} - a_{n}}{b_{n + 1} - b_{n}} .$ $then \lim_{n \to \infty} \frac{a_{n}}{2 b_{n}} = . .$

Question Number 55639 Answers: 1 Comments: 0

Known a ∈ R and function f : R→R satiesfied ∣xf(x)+a∣ < sin^2 (x−a). For all x ∈ R value of lim_(x→a) f(x) ..

$Known a \in R and$ $function f : R \to R satiesfied$ $∣ x f (x) + a ∣ < \sin^{2} (x - a) .$ $For all x \in R$ $value of \lim_{x \to a} f (x) . .$

Question Number 55638 Answers: 1 Comments: 0

For all n ∈ N f_n (x)= { ((((nx)/(2n−1)), x ∈ [0, ((2n−1)/n)])),((1 , x ∈[((2n−1)/n), 2])) :} then for n→∞ ∫_1 ^2 f_n (x) dx convergences to..

$For all n \in N$ $f_{n} (x) = {\begin{cases} \frac{n x}{2 n - 1}, x \in [0, \frac{2 n - 1}{n}] \\ 1, x \in [\frac{2 n - 1}{n}, 2] \end{cases}$ $then for n \to \infty$ $\int_{1}^{2} f_{n} (x) d x convergences to . .$

Question Number 55637 Answers: 2 Comments: 0

Value of lim_(n→∞) n ∫_0 ^1 ((2x^n )/(x+x^(2n+1) )) dx=..

$Value of \lim_{n \to \infty} n \int_{0}^{1} \frac{2 x^{n}}{x + x^{2 n + 1}} d x = . .$

Question Number 55636 Answers: 0 Comments: 0

known function f:[−5, 4]→R continues, then E={x ∈ [−5, 4] : f(x)}, then closure from E is...

$known function f : [- 5, 4] \to R continues,$ $then E = {x \in [- 5, 4] : f (x)},$ $then closure from E is . . .$

Question Number 55635 Answers: 1 Comments: 1

Series Σ_(n=1) ^(∞) (1/n^2 )=..

$Series \underset{n = 1}{\overset{\infty}{Σ}} \frac{1}{n^{2}} = . .$

Question Number 55634 Answers: 1 Comments: 0

If lim_(x→c) ((a_0 +a_1 (x−c)+a_2 (x−c)^2 +...+a_n (x−c)^n )/((x−c)^n ))=0 then a_0 +a_1 +a_2 +..+a_n =..

$If \lim_{x \to c} \frac{a_{0} + a_{1} (x - c) + a_{2} {(x - c)}^{2} + . . . + a_{n} {(x - c)}^{n}}{{(x - c)}^{n}} = 0$ $then a_{0} + a_{1} + a_{2} + . . + a_{n} = . .$

Question Number 55633 Answers: 1 Comments: 0

Known set A⊆R not empty, If Sup A=Inf A, then set A is..

$Known set A \subseteq R not empty,$ $If Sup A = Inf A, then set A is . .$

Question Number 55631 Answers: 1 Comments: 0

Question Number 55628 Answers: 2 Comments: 0

In an A.P, the sum of the first 50 terms is 6275. Write this A.P . knowing that the ratio is 5.

$I n a n A . P, t h e s u m o f t h e f i r s t 50 t e r m s i s 6275 . W r i t e t h i s A . P . k n o w i n g t h a t t h e r a t i o i s 5 .$

Question Number 55625 Answers: 0 Comments: 3

Question Number 55621 Answers: 1 Comments: 0

The function pogof(x) = x^4 + 2x^3 + 2x^2 is divisible by the half of the function of p. Find g(x).

$The function pogof (x) = x^{4} + {2 x}^{3} + {2 x}^{2} is divisible by the half of the$ $function of p . Find g (x) .$

Question Number 55615 Answers: 1 Comments: 0

let F(α)=∫_α ^(1+α^2 ) ((sin(αx))/(1+αx^2 ))dx 1) calculate (dF/dα)(α) 2) calculate lim_(α→0) F(α)

$l e t F (α) = \int_{α}^{1 + α^{2}} \frac{s i n (α x)}{1 + α x^{2}} d x$ $1) c a l c u l a t e \frac{d F}{d α} (α)$ $2) c a l c u l a t e {l i m}_{α \to 0} F (α)$

Question Number 55613 Answers: 0 Comments: 5

Question Number 55592 Answers: 2 Comments: 1

lim_(x→π/3) ((cos x−sin (π/6))/((π/6)−(x/2)))=..

$\lim_{x \to π / 3} \frac{\cos x - \sin \frac{π}{6}}{\frac{π}{6} - \frac{x}{2}} = . .$

Question Number 55587 Answers: 2 Comments: 0

If 12% of a number is equal to s, what is the e% of s? A. ((es)/(12)) B. ((es)/(88)) C. ((12s)/e) D. ((12e)/s)

$If 12 % of a number is equal to s,$ $what is the e % of s ?$ $A . \frac{e s}{12}$ $B . \frac{e s}{88}$ $C . \frac{12 s}{e}$ $D . \frac{12 e}{s}$

Question Number 55583 Answers: 1 Comments: 0

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