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Question Number 158288 Answers: 1 Comments: 0

Question Number 158287 Answers: 0 Comments: 0

Question Number 158281 Answers: 0 Comments: 2

Question Number 158276 Answers: 0 Comments: 0

if x;y;z≥0 then: 2 Σ_(cyc) x^2 (x^2 + y^2 ) ≥ Σ_(cyc) x(x^3 + z^3 ) + xyz(x+y+z)

$if x; y; z ⩾ 0 then :$ $2 \sum_{cyc} x^{2} (x^{2} + y^{2}) ⩾ \sum_{cyc} x (x^{3} + z^{3}) + xyz (x + y + z)$

Question Number 158275 Answers: 2 Comments: 0

Solve for real numbers: x^(32) + x^(16) + y^2 = 2 (√2) x^(12) y

$Solve for real numbers :$ $x^{32} + x^{16} + y^{2} = 2 \sqrt{2} x^{12} y$

Question Number 158273 Answers: 0 Comments: 0

Question Number 158272 Answers: 1 Comments: 0

Question Number 158271 Answers: 0 Comments: 0

Question Number 158270 Answers: 0 Comments: 0

82,1336,18670,240004,2933338,34666672,400000006,? is there a valid pattern for these numbers?

$82, 1336, 18670, 240004, 2933338, 34666672, 400000006, ?$ $is there a valid pattern for these numbers ?$

Question Number 158267 Answers: 0 Comments: 0

soit:F={(x,y,z)∈R^3 /x−y−2z} et G=Vect(0,1,1) determiner l′intersection de F et G

$s o i t : F = {(x, y, z) \in R^{3} / x - y - 2 z} e t$ $G = V e c t (0, 1, 1)$ $d e t e r m i n e r l^{'} i n t e r s e c t i o n d e F e t G$

Question Number 158259 Answers: 1 Comments: 1

Given x,y∈R^+ and ((x/5)+(y/3))((5/x)+(3/y))=139. If maximum and minimum of ((x+y)/( (√(xy)) )) is M and n respectively, then what the value of 3M−4n.

$G i v e n x, y \in R^{+} a n d (\frac{x}{5} + \frac{y}{3}) (\frac{5}{x} + \frac{3}{y}) = 139 .$ $I f m a x i m u m a n d m i n i m u m$ $o f \frac{x + y}{\sqrt{x y}} i s M a n d n r e s p e c t i v e l y,$ $t h e n w h a t t h e v a l u e o f 3 M - 4 n .$

Question Number 158252 Answers: 0 Comments: 0

Question Number 158625 Answers: 0 Comments: 1

EI(∂^4 y/∂x^4 )+ρS(∂^2 y/∂t^2 )=0 (1) y(x,0)=U_0 (x) (∂y/∂t)(x,0)=V_0 (x) ; EI(∂^2 y/∂x^2 )(0,t)=EI(∂^2 y/∂x^2 )(L,t)=0

$E I \frac{\partial^{4} y}{\partial x^{4}} + ρ S \frac{\partial^{2} y}{\partial t^{2}} = 0 (1)$ $y (x, 0) = U_{0} (x)$ $\frac{\partial y}{\partial t} (x, 0) = V_{0} (x); E I \frac{\partial^{2} y}{\partial x^{2}} (0, t) = E I \frac{\partial^{2} y}{\partial x^{2}} (L, t) = 0$

Question Number 158245 Answers: 1 Comments: 0

Prove that: (((x-1)^2 )/x) + ((x+1)/( (√(x^2 +1)))) ≥ (√2) ; ∀x>0

$Prove that :$ $\frac{{(x - 1)}^{2}}{x} + \frac{x + 1}{\sqrt{x^{2} + 1}} ⩾ \sqrt{2}; \forall x > 0$

Question Number 158241 Answers: 0 Comments: 0

Prove that: (((x-1)^2 )/x) + ((x+1)/( (√(x^2 +1)))) ≥ 2 ; ∀x>0

$Prove that :$ $\frac{{(x - 1)}^{2}}{x} + \frac{x + 1}{\sqrt{x^{2} + 1}} ⩾ 2; \forall x > 0$

Question Number 158240 Answers: 1 Comments: 0

Prove that 5 divide n(4n^2 + 1)(6n^2 + 1) for any natural number n

$Prove that 5 divide$ $n ({4 n}^{2} + 1) ({6 n}^{2} + 1)$ $for any natural number n$

Question Number 158274 Answers: 1 Comments: 0

Solve for complex numbers: x^4 + (1 + i)x^3 + 2ix^2 + (i - 1)x - 1 = 0

$Solve for complex numbers :$ $x^{4} + (1 + i) x^{3} + 2 {ix}^{2} + (i - 1) x - 1 = 0$

Question Number 158230 Answers: 0 Comments: 0

∫(1/(1+ln x))dx=?

$\int \frac{1}{1 + \ln x} d x = ?$

Question Number 158237 Answers: 0 Comments: 1

Question Number 158220 Answers: 0 Comments: 0

source: myself x^5 +3cx^2 −x−5c=0

$s o u r c e : m y s e l f$ $x^{5} + 3 {c x}^{2} - x - 5 c = 0$

Question Number 158228 Answers: 1 Comments: 0

∫((5x^3 −3x^2 +7x−3)/((x^2 +1)^2 ))dx Solve by first finding the partial fraction

$\int \frac{5 x^{3} - 3 x^{2} + 7 x - 3}{{(x^{2} + 1)}^{2}} d x$ $S o l v e b y f i r s t f i n d i n g t h e p a r t i a l$ $f r a c t i o n$

Question Number 158209 Answers: 1 Comments: 0

Question Number 158207 Answers: 1 Comments: 0

Question Number 158205 Answers: 0 Comments: 0

(1) lim_(x→0) (((e^x −1)sin x+tan^3 x)/(arctan x ln (1+4x)+4arcsin^4 x)) (2) lim_(x→0) ((1−cos x+ln (1+tan^2 2x)+2arcsin^3 x)/(1−cos 4x+sin^2 x))

$(1) \lim_{x \to 0} \frac{(e^{x} - 1) \sin x + \tan^{3} x}{\arctan x \ln (1 + 4 x) + {4 \arcsin}^{4} x}$ $(2) \lim_{x \to 0} \frac{1 - \cos x + \ln (1 + \tan^{2} 2 x) + 2 \arcsin^{3} x}{1 - \cos 4 x + \sin^{2} x}$

Question Number 158204 Answers: 2 Comments: 0

lim_(x→∞) (sin (√(x+1))−sin (√(x ))) =?

$\lim_{x \to \infty} (\sin \sqrt{x + 1} - \sin \sqrt{x}) = ?$

Question Number 158203 Answers: 0 Comments: 0

lim_(n→∞) Σ_(k=1) ^n (1/n).e^((2k+1)/k) =?

$\lim_{n \to \infty} \underset{k = 1}{\sum^{n}} \frac{1}{n} . e^{\frac{2 k + 1}{k}} = ?$

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