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Question Number 166539 Answers: 0 Comments: 2

solve the equation x^2 +xy+y^2 =6x^2 +y 2x^2 +2xy=y^2

$s o l v e t h e e q u a t i o n$ $x^{2} + x y + y^{2} = 6 x^{2} + y$ $2 x^{2} + 2 x y = y^{2}$

Question Number 166531 Answers: 0 Comments: 2

Question Number 166530 Answers: 1 Comments: 0

Question Number 166526 Answers: 1 Comments: 0

Question Number 166522 Answers: 1 Comments: 1

Question Number 166520 Answers: 2 Comments: 2

Question Number 166516 Answers: 0 Comments: 0

Determine the formula of this expression Σ_(k=0) ^n (1/((n−k)!(n+k)!))

$Determine the formula of this expression$ $\underset{k = 0}{\sum^{n}} \frac{1}{(n - k)! (n + k)!}$

Question Number 166515 Answers: 1 Comments: 0

Given a function (x+1)f(−x)+((1−x)/(4x)) f((1/x))=((100(x^2 +4))/x) x≠0 , x≠1 Find f(2)+f(3)+f(4)+...+f(400)

$G i v e n a f u n c t i o n$ $(x + 1) f (- x) + \frac{1 - x}{4 x} f (\frac{1}{x}) = \frac{100 (x^{2} + 4)}{x}$ $x \neq 0, x \neq 1$ $F i n d f (2) + f (3) + f (4) + . . . + f (400)$

Question Number 166511 Answers: 1 Comments: 0

is the function f(x) = tan^(−1) (x) + tan^(−1) (2x) + tan^(−1) (3x) + ..... converge or diverge ?

$i s t h e f u n c t i o n f (x) = {t a n}^{- 1} (x) + {t a n}^{- 1} (2 x) + {t a n}^{- 1} (3 x) + . . . . .$ $c o n v e r g e o r d i v e r g e ?$

Question Number 166496 Answers: 0 Comments: 1

Calculas: ((2 (√6))/( (√5) + (√3) + (√2))) - (1/( (√3) - (√2))) = ?

$Calculas :$ $\frac{2 \sqrt{6}}{\sqrt{5} + \sqrt{3} + \sqrt{2}} - \frac{1}{\sqrt{3} - \sqrt{2}} = ?$

Question Number 166491 Answers: 0 Comments: 4

Question Number 166488 Answers: 1 Comments: 0

B=∫ (√((sin 2x−1)/(cos 2x−1))) dx =?

$B = \int \sqrt{\frac{\sin 2 x - 1}{\cos 2 x - 1}} dx = ?$

Question Number 166481 Answers: 2 Comments: 1

Question Number 166480 Answers: 0 Comments: 0

Question Number 166475 Answers: 2 Comments: 5

Find out n∈N such that n^2 +n is divisible by 30.

$F i n d o u t n \in N$ $s u c h t h a t$ $n^{2} + n i s d i v i s i b l e b y 30 .$

Question Number 166468 Answers: 2 Comments: 0

1+3(√2)x−18x^2 =6x(√(1−9x^2 )) solve in R

$1 + 3 \sqrt{2} x - 18 x^{2} = 6 x \sqrt{1 - 9 x^{2}}$ $s o l v e i n R$

Question Number 166465 Answers: 1 Comments: 1

Question Number 166449 Answers: 1 Comments: 3

C = ∫ ((1−tan^2 x)/(1+sec^2 x)) dx =?

$C = \int \frac{1 - \tan^{2} x}{1 + \sec^{2} x} dx = ?$

Question Number 166448 Answers: 0 Comments: 2

montrer q ∀nεN n^2 +n est divisible par 30

$m o n t r e r q \forall n ϵ N$ $n^{2} + n e s t d i v i s i b l e p a r 30$

Question Number 166443 Answers: 2 Comments: 1

fog_((3)) =10 f(3)=4 g(x)=?

${f o g}_{(3)} = 10$ $f (3) = 4$ $g (x) = ?$

Question Number 166442 Answers: 2 Comments: 0

Question Number 166440 Answers: 0 Comments: 1

Question Number 166437 Answers: 1 Comments: 0

calculate Ω=∫_0 ^( 1) (( ln(1−x ).ln(1+ x ))/x^( 2) ) dx=? −−−−−−−

$c a l c u l a t e$ $Ω = \int_{0}^{1} \frac{l n (1 - x) . l n (1 + x)}{x^{2}} d x = ?$ $- - - - - - -$

Question Number 166436 Answers: 2 Comments: 0

Show that : Σ_(n=1) ^∞ (((−1)^( n) H_( n) )/n^( 2) ) = −(5/8) ζ (3 ) ■ m.n −−−−−−−−−

$S h o w t h a t :$ $\underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n} H_{n}}{n^{2}} = - \frac{5}{8} ζ (3) ◼ m . n$ $- - - - - - - - -$

Question Number 166435 Answers: 2 Comments: 0

Equation : Solve in R ⌊x⌋ +⌊2x ⌋ +⌊ 3x ⌋=1 −−−−−−−−−

$E q u a t i o n :$ $S o l v e i n R$ $⌊ x ⌋ + ⌊ 2 x ⌋ + ⌊ 3 x ⌋ = 1$ $- - - - - - - - -$

Question Number 166431 Answers: 1 Comments: 0

2(2^x /(16,0)) = 5,7^2 − 0,49 + 0 How much the x is?

$2 \frac{2^{x}}{16, 0} = 5, 7^{2} - 0, 49 + 0$ $H o w m u c h t h e x i s ?$

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