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AllQuestion and Answers: Page 563

Question Number 157630 Answers: 1 Comments: 1

Question Number 157652 Answers: 0 Comments: 4

Question Number 157628 Answers: 1 Comments: 0

find (C_0 ^(100) )^2 +(C_2 ^(100) )^2 +(C_4 ^(100) )^2 +(C_6 ^(100) )^2 +...+(C_(100) ^(100) )^2 =?

$f i n d$ ${(C_{0}^{100})}^{2} + {(C_{2}^{100})}^{2} + {(C_{4}^{100})}^{2} + {(C_{6}^{100})}^{2} + . . . + {(C_{100}^{100})}^{2} = ?$

Question Number 157611 Answers: 1 Comments: 0

Given g(x) = (1/(1 + 3^((1/2) − x) )) g((1/(2017))) + g((2/(2017))) + g((3/(2017))) + … + g(((2016)/(2017))) = ?

$G i v e n g (x) = \frac{1}{1 + 3^{\frac{1}{2} - x}}$ $g (\frac{1}{2017}) + g (\frac{2}{2017}) + g (\frac{3}{2017}) + \dots + g (\frac{2016}{2017}) = ?$

Question Number 157604 Answers: 1 Comments: 3

Question find the” minimum” value of: f (x):= ∣1+x∣+∣ 2+x∣ + ∣4 +2x∣

$Q u e s t i o n$ $f i n d {t h e}^{″} {m i n i m u m}^{″} v a l u e o f :$ $f (x) := ∣ 1 + x ∣ + ∣ 2 + x ∣ + ∣ 4 + 2 x ∣$

Question Number 157598 Answers: 1 Comments: 0

Given a,b,c nonnegative numbers which satisfy a+b+c = 3. Prove that (1/(2ab^2 + 1)) + (1/(2bc^2 +1)) + (1/(2ac^2 + 1)) ≥ 1 .

$G i v e n a, b, c n o n n e g a t i v e n u m b e r s w h i c h s a t i s f y a + b + c = 3 .$ $P r o v e t h a t$ $\frac{1}{2 {a b}^{2} + 1} + \frac{1}{2 {b c}^{2} + 1} + \frac{1}{2 {a c}^{2} + 1} ⩾ 1 .$

Question Number 157599 Answers: 1 Comments: 0

Find the number of x ∈ [1, 2016 ] , x ∈ N which making the expression 4x^6 + x^3 + 5 is divided by 11 .

$F i n d t h e n u m b e r o f x \in [1, 2016], x \in N$ $w h i c h m a k i n g t h e e x p r e s s i o n 4 x^{6} + x^{3} + 5 i s d i v i d e d b y 11 .$

Question Number 157593 Answers: 0 Comments: 0

let f:C→R z→min(y−[y],[y+1]−y) , y=Im(z) let w=e^(i((2π)/n)) , n∈N^∗ evaluate S_n =Σ_(0≤k<n) f(w^k )

$l e t f : C \to R$ $z \to m i n (y - [y], [y + 1] - y), y = I m (z)$ $l e t w = e^{i \frac{2 π}{n}}, n \in N^{*}$ $e v a l u a t e S_{n} = \sum_{0 ⩽ k < n} f (w^{k})$

Question Number 157592 Answers: 0 Comments: 0

let A={0^. ,1^. ,2^. } prove that every application from A to A is a 2nd degree polynom

$l e t A = {\dot{0}, \dot{1}, \dot{2}}$ $p r o v e t h a t e v e r y a p p l i c a t i o n f r o m A$ $t o A i s a 2 n d d e g r e e p o l y n o m$

Question Number 157591 Answers: 1 Comments: 0

lim_(x→π) ((x−π)^2 cos ((1/(x−π)))+x^4 +sin^3 x)=?

$\lim_{x \to π} ({(x - π)}^{2} \cos (\frac{1}{x - π}) + x^{4} + \sin^{3} x) = ?$

Question Number 157585 Answers: 1 Comments: 0

if 0<a≤b≤c<(π/2) then: (5/(tana)) + (3/(tanb)) + (1/(tanc)) ≥ ((27)/(tana + tanb + tanc))

$if 0 < a ⩽ b ⩽ c < \frac{π}{2} then :$ $\frac{5}{\tan a} + \frac{3}{\tan b} + \frac{1}{\tan c} ⩾ \frac{27}{\tan a + \tan b + \tan c}$

Question Number 157584 Answers: 3 Comments: 0

suppose the ratio of Jim to Rohn is 2:1 and the ratio of Rohn to Bill is 3:4, how do i find for the ratio of Jim to Bill.....???

$s u p p o s e$ $t h e r a t i o o f J i m t o R o h n i s 2 : 1$ $a n d t h e r a t i o o f R o h n t o B i l l i s$ $3 : 4, h o w d o i f i n d f o r t h e r a t i o$ $o f J i m t o B i l l . . . . . ? ? ?$

Question Number 157576 Answers: 1 Comments: 2

Question Number 157575 Answers: 1 Comments: 3

(√((1/2)−(1/2)(√((1/2)+(1/2)cos 𝛂)))) (Π<𝛂<2Π)

$\sqrt{\frac{1}{2} - \frac{1}{2} \sqrt{\frac{1}{2} + \frac{1}{2} \cos α}}$ $(Π < α < 2 Π)$

Question Number 157565 Answers: 0 Comments: 0

Question Number 157562 Answers: 2 Comments: 0

Question Number 157560 Answers: 0 Comments: 0

Question Number 157561 Answers: 0 Comments: 0

if a;b;c and a+b+c≥3 prove that: Σ (a^3 /(b + kbc)) ≥ (3/(1 + k)) ; k>0

$if a; b; c and a + b + c ⩾ 3 prove that :$ $Σ \frac{a^{3}}{b + kbc} ⩾ \frac{3}{1 + k}; k > 0$

Question Number 157546 Answers: 1 Comments: 5

( _1 ^(2002) ) + ( _4 ^(2002) ) + ( _7 ^(2002) ) + …+ ( _(2002) ^(2002) ) = ? Thank you so much .

$(\underset{1}{\overset{2002}{}}) + (\underset{4}{\overset{2002}{}}) + (\underset{7}{\overset{2002}{}}) + \dots + (\underset{2002}{\overset{2002}{}}) = ?$ $T h a n k y o u s o m u c h .$

Question Number 157538 Answers: 1 Comments: 1

Question Number 157531 Answers: 2 Comments: 0

Question Number 157515 Answers: 0 Comments: 0

∫ ((x sin x)/(16x+9)) dx

$\int \frac{x \sin x}{16 x + 9} d x$

Question Number 157508 Answers: 0 Comments: 1

Question Number 157494 Answers: 1 Comments: 0

Question Number 157487 Answers: 2 Comments: 0

Find the equation of the tangents drawn from the point (1,3) to the parabola y^2 =−16x.

$Find the equation of the tangents drawn$ $from the point (1, 3) to the parabola$ $y^{2} = - 16 x .$

Question Number 157489 Answers: 2 Comments: 0

Solve for real numbers: tan(10x) = tan^5 (2x)

$Solve for real numbers :$ $\tan (10 x) = \tan^{5} (2 x)$

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