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Question Number 141749 Answers: 1 Comments: 0

{ ((x^2 −y+(√(y^2 +5))=xy−(√(x−1)))),((y^2 +(√(xy+2))=2(x+y))) :} Find x,y

${\begin{cases} x^{2} - y + \sqrt{y^{2} + 5} = xy - \sqrt{x - 1} \\ y^{2} + \sqrt{xy + 2} = 2 (x + y) \end{cases}$ $Find x, y$

Question Number 141777 Answers: 0 Comments: 1

A pack of 52 cards distributed equally to 4 people so as 4 cards each from same suit( of any 3 suit=4×3=12) and last card from 4th remaining suit . Number of such distributions is?

$A p a c k o f 52 c a r d s d i s t r i b u t e d e q u a l l y t o$ $4 p e o p l e s o a s 4 c a r d s e a c h f r o m$ $s a m e s u i t (o f a n y 3 s u i t = 4 \times 3 = 12)$ $a n d l a s t c a r d f r o m 4 t h r e m a i n i n g$ $s u i t . N u m b e r o f s u c h$ $d i s t r i b u t i o n s i s ?$

Question Number 141733 Answers: 0 Comments: 0

Question Number 141730 Answers: 0 Comments: 2

x^2 +y^2 +xy=9 y^2 +z^2 +yz=16 x^2 +z^2 +xz=25 xy+yz+xz=?

$x^{2} + y^{2} + x y = 9$ $y^{2} + z^{2} + y z = 16$ $x^{2} + z^{2} + x z = 25$ $x y + y z + x z = ?$

Question Number 141753 Answers: 2 Comments: 1

∫(dx/(sinx+cosx))

$\int \frac{d x}{s i n x + c o s x}$

Question Number 141781 Answers: 0 Comments: 2

help me to find the roots of x^5 +5x^4 +20x^3 +60x^2 +120x+120=0?

$h e l p m e t o f i n d t h e r o o t s o f$ $x^{5} + 5 x^{4} + 20 x^{3} + 60 x^{2} + 120 x + 120 = 0 ?$

Question Number 141794 Answers: 2 Comments: 2

Question Number 141779 Answers: 4 Comments: 0

lim_(x→0) (x^2 /(x+2−2(√(1+x)))) =?

$\lim_{x \to 0} \frac{x^{2}}{x + 2 - 2 \sqrt{1 + x}} = ?$

Question Number 141747 Answers: 0 Comments: 0

Question Number 141776 Answers: 1 Comments: 0

The volume of a sphere is increasing at the constant rate of 10cm^3 /sec. Calculate the rate of increase of the surface area at the instant when the radius is 5cm.What is the radius of the sphere when the surface area is increasing at 2cm^2 /sec. Any step by step solution pls.

$The volume of a sphere is increasing$ $at the constant rate of 10 {cm}^{3} / \sec .$ $Calculate the rate of increase of the$ $surface area at the instant when the$ $radius is 5 cm . What is the radius of the$ $sphere when the surface area is increasing$ $at 2 {cm}^{2} / \sec .$ $Any step by step solution pls .$

Question Number 141719 Answers: 2 Comments: 0

∫_0 ^∞ (e^(−x^2 ) /((x^2 +(1/2))^2 ))dx=?

$\int_{0}^{\infty} \frac{e^{- x^{2}}}{{(x^{2} + \frac{1}{2})}^{2}} d x = ?$

Question Number 141716 Answers: 1 Comments: 0

(x^2 lnx)y′′−xy′+y=0

$(x^{2} l n x) y^{″} - {x y}^{'} + y = 0$

Question Number 141715 Answers: 1 Comments: 0

Find x if Σ_(n=2) ^(24) ((250)/((1+x)^n )) = 5000.

$Find x if \underset{n = 2}{\sum^{24}} \frac{250}{{(1 + x)}^{n}} = 5000 .$

Question Number 141713 Answers: 1 Comments: 0

Question Number 141708 Answers: 0 Comments: 0

2(8n^3 +m^3 )+6(m^2 −6n^2 )+3(2m+9n)=437 Find all positive values of mn....?

$2 (8 n^{3} + m^{3}) + 6 (m^{2} - 6 n^{2}) + 3 (2 m + 9 n) = 437$ $F i n d a l l p o s i t i v e v a l u e s o f m n . . . . ?$

Question Number 142229 Answers: 1 Comments: 0

deveopp g(x)=(1/(sin(nx))) at fourier series (x≠((kπ)/n))

$deveopp g (x) = \frac{1}{\sin (nx)} at fourier series (x \neq \frac{k π}{n})$

Question Number 142228 Answers: 1 Comments: 0

developpf(x)=(2/(3+cosx)) at fourier serie

$developpf (x) = \frac{2}{3 + cosx} at fourier serie$

Question Number 141703 Answers: 0 Comments: 2

Question Number 141700 Answers: 0 Comments: 2

Question Number 141699 Answers: 1 Comments: 0

If lim_(x→1) =(((x)^(1/k) −1)/(x−1))=L≠0 Find lim_(x→0) (((√(x+1))−1)/( ((x+1))^(1/k) −1))

$I f {l i m}_{x \to 1} = \frac{\sqrt[k]{x} - 1}{x - 1} = L \neq 0 F i n d {l i m}_{x \to 0} \frac{\sqrt{x + 1} - 1}{\sqrt[k]{x + 1} - 1}$

Question Number 142231 Answers: 0 Comments: 0

find ∫ ((ch(x))/(cosx))dx

$find \int \frac{ch (x)}{cosx} dx$

Question Number 142232 Answers: 1 Comments: 0

Question Number 142236 Answers: 2 Comments: 0

f is an endomorphism of V such that f○f=−Id_V . 1. Show that f is an isomorphism of V and express f^(−1) in function of f. 2. show that 0^→ is the one invariant vector by f. 3. Given u^→ ≠0^→ and u^→ ∈ V. a. Show that (u^→ ; f(u^→ )) is a base of V. b. Write the matrix of f in base (u^→ ; f(u^→ )).

$f is an endomorphism of V such$ $that f \circ f = - {Id}_{V} .$ $1 . Show that f is an isomorphism of$ $V and express f^{- 1} in function of f .$ $2 . show that \vec{0} is the one invariant$ $vector by f .$ $3 . Given \vec{u} \neq \vec{0} and \vec{u} \in V .$ $a . Show that (\vec{u}; f (\vec{u})) is a base of V .$ $b . Write the matrix of f in base$ $(\vec{u}; f (\vec{u})) .$

Question Number 141694 Answers: 0 Comments: 0

log((((√5)+1)/(10))9e^γ )=((ζ(2))/2)(((1^2 +9^2 )/(10^2 )))−((ζ(3))/3) (((1^3 +9^3 )/(10^3 )) )+((ζ(4))/4)(((1^4 +9^4 )/(10^4 )))−... γ=Euler Mascheroni Constant

$l o g (\frac{\sqrt{5} + 1}{10} 9 e^{γ}) = \frac{ζ (2)}{2} (\frac{1^{2} + 9^{2}}{10^{2}}) - \frac{ζ (3)}{3} (\frac{1^{3} + 9^{3}}{10^{3}}) + \frac{ζ (4)}{4} (\frac{1^{4} + 9^{4}}{10^{4}}) - . . .$ $γ = E u l e r M a s c h e r o n i C o n s t a n t$

Question Number 141693 Answers: 0 Comments: 0

n∈N^+ a_5 =a_(13) =0 b_(n+1) −b_n =2 b_n =a_(n+1) −a_n ⇒ a_1 =?

$n \in N^{+}$ $a_{5} = a_{13} = 0$ $b_{n + 1} - b_{n} = 2$ $b_{n} = a_{n + 1} - a_{n} \Rightarrow a_{1} = ?$

Question Number 141692 Answers: 1 Comments: 0

Daniel and Bruno are playing with perfect cube Daniel is the first player if he obtains 1 or 2 he wins the game and the party stopping or else Bruno plays and if he have {3.4.6} Bruno won and the game stopping Determine the probability that Daniel winand the probability that Bruno win

$D a n i e l a n d B r u n o a r e p l a y i n g w i t h p e r f e c t c u b e$ $D a n i e l i s t h e f i r s t p l a y e r i f h e o b t a i n s 1 o r 2$ $h e w i n s t h e g a m e a n d t h e p a r t y s t o p p i n g$ $o r e l s e B r u n o p l a y s a n d i f h e h a v e {3.4.6} B r u n o w o n a n d t h e g a m e s t o p p i n g$ $D e t e r m i n e t h e p r o b a b i l i t y t h a t D a n i e l w i n a n d t h e p r o b a b i l i t y t h a t B r u n o w i n$

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