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Question Number 41846 Answers: 1 Comments: 0

find ∫ (dx/((√(1+x^2 )) +(√(1−x^2 ))))

$f i n d \int \frac{d x}{\sqrt{1 + x^{2}} + \sqrt{1 - x^{2}}}$

Question Number 41845 Answers: 1 Comments: 0

1)find ∫ (x/((√(1+x)) +(√(1−x)))) dx 2) calculate ∫_1 ^3 (x/((√(1+x)) +(√(1−x)))) dx

$1) f i n d \int \frac{x}{\sqrt{1 + x} + \sqrt{1 - x}} d x$ $2) c a l c u l a t e \int_{1}^{3} \frac{x}{\sqrt{1 + x} + \sqrt{1 - x}} d x$

Question Number 41848 Answers: 0 Comments: 3

let f(a) = ∫_0 ^(π/2) (dx/(1+asinx)) with a∈R 1) find a simple form of f(a) 2) calculate ∫_0 ^(π/2) (dx/(1+sinx)) and ∫_0 ^(π/2) (dx/(1+2sinx)) 3) find the value of ∫_0 ^(π/2) ((cosx)/((1+asinx)^2 ))dx 4) find the value of ∫_0 ^(π/2) ((cosx)/((1+sinx)^2 ))dx and ∫_0 ^(π/2) ((cosx)/((1+2sinx)^2 ))dx

$l e t f (a) = \int_{0}^{\frac{π}{2}} \frac{d x}{1 + a s i n x} w i t h a \in R$ $1) f i n d a s i m p l e f o r m o f f (a)$ $2) c a l c u l a t e \int_{0}^{\frac{π}{2}} \frac{d x}{1 + s i n x} a n d \int_{0}^{\frac{π}{2}} \frac{d x}{1 + 2 s i n x}$ $3) f i n d t h e v a l u e o f \int_{0}^{\frac{π}{2}} \frac{c o s x}{{(1 + a s i n x)}^{2}} d x$ $4) f i n d t h e v a l u e o f \int_{0}^{\frac{π}{2}} \frac{c o s x}{{(1 + s i n x)}^{2}} d x a n d \int_{0}^{\frac{π}{2}} \frac{c o s x}{{(1 + 2 s i n x)}^{2}} d x$

Question Number 42310 Answers: 1 Comments: 1

Question Number 41828 Answers: 1 Comments: 0

{ (((y^y /x)+(x^x /y)=129)),((x^y +y^x =32)) :} find x and y? by k.khaled

${\begin{cases} \frac{y^{y}}{x} + \frac{x^{x}}{y} = 129 \\ x^{y} + y^{x} = 32 \end{cases}$ $f i n d x a n d y ?$ $b y k . k h a l e d$

Question Number 41824 Answers: 3 Comments: 0

if ^n C_5 = ^n C_(11) find ^(18) C_n

$if \overset{n}{} C_{5} = \overset{n}{} C_{11} find \overset{18}{} C_{n}$

Question Number 41820 Answers: 1 Comments: 0

If α, β are the roots of the equation ax^2 +bx+c=0, then the value of the determinant determinant ((1,(cos (β−α)),(cos α)),((cos (α−β)),1,(cos β)),((cos α),(cos β),1)) is

$If α, β are the roots of the equation$ ${a x}^{2} + b x + c = 0, then the value of the$ $determinant$ $| \begin{matrix} 1 & \cos (β - α) & \cos α \\ \cos (α - β) & 1 & \cos β \\ \cos α & \cos β & 1 \end{matrix} | is$

Question Number 41813 Answers: 1 Comments: 0

Any workings for this simultaneous equation ? x^x + y^y = 31 ........ equation (i) x + y = 5 ........ equation (ii)

$Any workings for this simultaneous equation ?$ $x^{x} + y^{y} = 31 . . . . . . . . equation (i)$ $x + y = 5 . . . . . . . . equation (ii)$

Question Number 41806 Answers: 1 Comments: 1

Question Number 41798 Answers: 0 Comments: 5

Solve: x^3 − 3x + 4 = 0 how can i know when to use: let x = y + (1/y)

$Solve : x^{3} - 3 x + 4 = 0$ $how can i know when to use : let x = y + \frac{1}{y}$

Question Number 41797 Answers: 1 Comments: 0

Find x: 48log_a 4 + 5log_4 a = (a/8)

$Find x : {48 \log}_{a} 4 + {5 \log}_{4} a = \frac{a}{8}$

Question Number 41796 Answers: 2 Comments: 0

Find the value of a log_(a + 2) ^( 8) + log_(16) ^( a) = (7/4)

$Find the value of a$ $\log_{a + 2}^{8} + \log_{16}^{a} = \frac{7}{4}$

Question Number 41780 Answers: 2 Comments: 0

Question Number 41766 Answers: 2 Comments: 0

Question Number 41765 Answers: 2 Comments: 0

find range of the function f defined by f(x)=(1/(1−x^2 ))

$f i n d r a n g e o f t h e f u n c t i o n f$ $d e f i n e d b y f (x) = \frac{1}{1 - x^{2}}$

Question Number 41762 Answers: 0 Comments: 3

let f(x) = ∫_0 ^1 ((ln(1+xt^2 ))/(1+t^2 )) dt 1) find a simple form of f(x) 2) calculate ∫_0 ^1 ((ln(1+t^2 ))/(1+t^2 ))dt 3) calculate ∫_0 ^1 ((ln(1+2t^2 ))/(1+t^2 )) dt

$l e t f (x) = \int_{0}^{1} \frac{l n (1 + {x t}^{2})}{1 + t^{2}} d t$ $1) f i n d a s i m p l e f o r m o f f (x)$ $2) c a l c u l a t e \int_{0}^{1} \frac{l n (1 + t^{2})}{1 + t^{2}} d t$ $3) c a l c u l a t e \int_{0}^{1} \frac{l n (1 + 2 t^{2})}{1 + t^{2}} d t$

Question Number 41761 Answers: 1 Comments: 0

calculate lim_(x→0) x ln(1−e^(sinx) )

$c a l c u l a t e {l i m}_{x \to 0} x l n (1 - e^{s i n x})$

Question Number 41757 Answers: 0 Comments: 0

Find the fourier sine transform of (1/(x(x^r + a^r )))

$Find the fourier sine transform of \frac{1}{x (x^{r} + a^{r})}$

Question Number 41744 Answers: 1 Comments: 0

Question Number 41754 Answers: 3 Comments: 0

Question Number 41753 Answers: 2 Comments: 0

How far must a man stand in front of a concave mirror of radius 120cm in order to see an erect image of his face four times its actual size?

$H o w f a r m u s t a m a n s t a n d i n f r o n t$ $o f a c o n c a v e m i r r o r o f r a d i u s 120 c m$ $i n o r d e r t o s e e a n e r e c t i m a g e o f$ $h i s f a c e f o u r t i m e s i t s a c t u a l s i z e ?$

Question Number 41726 Answers: 0 Comments: 0

Tank T_1 and T_2 initially contains 100gal of water each.In T_1 the water is pure,whereas 150lb of fertilizer are dissolved in T_2 .By circulating liquid at a rate of 1gal/min and stirring the amount of fertilizer y_1 (t) in T_1 and y_2 (t) in T_2 change with time t. a)with a schematic diagram write the model linear equations for the mixing problem. (b)determine the eigenvalues and⊛ and eigenvectors of the derived equation.

$T a n k T_{1} a n d T_{2} i n i t i a l l y c o n t a i n s$ $100 g a l o f w a t e r e a c h . I n T_{1} t h e$ $w a t e r i s p u r e, w h e r e a s 150 l b o f$ $f e r t i l i z e r a r e d i s s o l v e d i n T_{2} . B y$ $c i r c u l a t i n g l i q u i d a t a r a t e o f$ $1 g a l / m i n a n d s t i r r i n g t h e a m o u n t$ $o f f e r t i l i z e r y_{1} (t) i n T_{1} a n d y_{2} (t)$ $i n T_{2} c h a n g e w i t h t i m e t .$ $a) w i t h a s c h e m a t i c d i a g r a m w r i t e$ $t h e m o d e l l i n e a r e q u a t i o n s f o r$ $t h e m i x i n g p r o b l e m .$ $(b) d e t e r m i n e t h e e i g e n v a l u e s a n d ⊛$ $a n d e i g e n v e c t o r s o f t h e d e r i v e d$ $e q u a t i o n .$

Question Number 41722 Answers: 0 Comments: 0

sir Tinkutara is the anyway i could get to talk to you guys(Equation Editor group) i′ve got some ideas i wanna share with you.just comment the messenger media below and the name i′ll get you soon= thanks

$s i r T i n k u t a r a i s t h e a n y w a y i c o u l d g e t t o t a l k t o y o u g u y s (E q u a t i o n E d i t o r g r o u p)$ $i^{'} v e g o t s o m e i d e a s i w a n n a s h a r e w i t h y o u . j u s t c o m m e n t$ $t h e m e s s e n g e r m e d i a b e l o w a n d t h e n a m e i^{'} l l g e t y o u s o o n =$ $t h a n k s$

Question Number 41721 Answers: 0 Comments: 1

show that U_n = 1+ nx + ((n(n−1))/(2!)) x^(2 ) + ((n(n−1)(n−2))/(3!))x^3 + .... for which U_n = (1 + x)^n .

$s h o w t h a t$ $U_{n} = 1 + n x + \frac{n (n - 1)}{2!} x^{2} + \frac{n (n - 1) (n - 2)}{3!} x^{3} + . . . .$ $f o r w h i c h U_{n} = {(1 + x)}^{n} .$

Question Number 41720 Answers: 0 Comments: 2

Difference of last two digits of 2019^(2019^(2019) ) is ?

$Difference of last two digits of 2019^{2019^{2019}} is ?$

Question Number 41710 Answers: 2 Comments: 0

Factorize: 60x^3 y + 115x^2 y^2 − 120xy^3

$Factorize : {60 x}^{3} y + {115 x}^{2} y^{2} - {120 xy}^{3}$

Pg 1596 Pg 1597 Pg 1598 Pg 1599 Pg 1600 Pg 1601 Pg 1602 Pg 1603 Pg 1604 Pg 1605

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