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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

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

Question Number 41707 Answers: 2 Comments: 0

Here′s a question that has troubled me for months now.Please help 5^(√x) − 5^(x−7) =100 find the possible value(s) of x.

${H e r e}^{'} s a q u e s t i o n t h a t h a s$ $t r o u b l e d m e f o r m o n t h s n o w . P l e a s e$ $h e l p$ $5^{\sqrt{x}} - 5^{x - 7} = 100$ $f i n d t h e p o s s i b l e v a l u e (s) o f x .$

Question Number 41706 Answers: 1 Comments: 1

study the convergence of u_n =Σ_(k=2) ^n (1/(kln(k))) −ln(ln(n)

$s t u d y t h e c o n v e r g e n c e o f$ $u_{n} = \sum_{k = 2}^{n} \frac{1}{k l n (k)} - l n (l n (n)$

Question Number 41705 Answers: 0 Comments: 1

find nsture of the serie Σ u_n with u_n =^n (√(n/(n+1))) −1

$f i n d n s t u r e o f t h e s e r i e Σ u_{n}$ $w i t h u_{n} =^{n} \sqrt{\frac{n}{n + 1}} - 1$

Question Number 41704 Answers: 0 Comments: 0

let u_n = (1/(√(n−1))) +(2/(√n)) +(1/(√(n+1))) calculate Σ_(n=2) ^∞ u_n

$l e t u_{n} = \frac{1}{\sqrt{n - 1}} + \frac{2}{\sqrt{n}} + \frac{1}{\sqrt{n + 1}}$ $c a l c u l a t e \sum_{n = 2}^{\infty} u_{n}$

Question Number 41703 Answers: 0 Comments: 1

calculate I = ∫_0 ^(π/4) ((cosx)/(cos^3 x +sin^3 x))dx

$c a l c u l a t e I = \int_{0}^{\frac{π}{4}} \frac{c o s x}{{c o s}^{3} x + {s i n}^{3} x} d x$

Question Number 41702 Answers: 1 Comments: 3

find the value of ∫_0 ^(√3) arcsin(((2t)/(1+t^2 )))dt

$f i n d t h e v a l u e o f \int_{0}^{\sqrt{3}} a r c s i n (\frac{2 t}{1 + t^{2}}) d t$

Question Number 41699 Answers: 0 Comments: 0

find the perpendicular distance btn two lines y=2x−3 and y=3x−1

$find the perpendicular distance btn$ $two lines y = 2 x - 3$ $and y = 3 x - 1$

Question Number 44610 Answers: 0 Comments: 1

Let A be 2×3 matrix , whereas B be 3×2 matrix. If determinant(AB)=4, then the value of determinant (BA) ?

$L e t A b e 2 \times 3 m a t r i x, w h e r e a s B b e$ $3 \times 2 m a t r i x . I f d e t e r m i n a n t (A B) = 4,$ $t h e n t h e v a l u e o f d e t e r m i n a n t (B A) ?$

Question Number 41691 Answers: 2 Comments: 0

tan^2 20+tan^2 40+tan^2 80=33

${t a n}^{2} 20 + {t a n}^{2} 40 + {t a n}^{2} 80 = 33$

Question Number 41686 Answers: 1 Comments: 2

Question Number 41682 Answers: 2 Comments: 0

find radius of curvature to y=sin x at x=π/6 .

$f i n d r a d i u s o f c u r v a t u r e t o$ $y = \sin x a t x = π / 6 .$

Question Number 41679 Answers: 1 Comments: 5

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

$l e t f (x) = \int_{0}^{1} l n (1 + t + {x t}^{2}) d t$ $1) c a l c u l a t e f^{^{'}} (x) t h e n f i n d a s i m p l e f o r m o f f (x)$ $2) c a l c u l a t e \int_{0}^{1} l n (1 + t + t^{2}) d t$ $3) c a l c u l a t e \int_{0}^{1} l n (1 - t^{3}) d t .$

Question Number 41678 Answers: 1 Comments: 0

prove that ∫_0 ^∞ cos(x^2 )dx=∫_0 ^∞ sin(x^2 )dx by using only series.

$p r o v e t h a t \int_{0}^{\infty} c o s (x^{2}) d x = \int_{0}^{\infty} s i n (x^{2}) d x b y u s i n g$ $o n l y s e r i e s .$

Question Number 41677 Answers: 2 Comments: 2

calculate A = ∫_0 ^(π/4) cos^8 xdx and B= ∫_0 ^(π/4) sin^8 xdx 2) calculate A +B and A−B 3) calculate A^2 −B^2

$c a l c u l a t e A = \int_{0}^{\frac{π}{4}} {c o s}^{8} x d x a n d$ $B = \int_{0}^{\frac{π}{4}} {s i n}^{8} x d x$ $2) c a l c u l a t e A + B a n d A - B$ $3) c a l c u l a t e A^{2} - B^{2}$

Question Number 41675 Answers: 1 Comments: 1

Question Number 41672 Answers: 0 Comments: 1

find Σ_(k=0) ^n (1/(3k+1)) interms of H_n

$f i n d \sum_{k = 0}^{n} \frac{1}{3 k + 1} i n t e r m s o f H_{n}$

Question Number 41671 Answers: 0 Comments: 0

if p=6.4×10^4 and q=3.2×10^5 find the values of (i)p×q (ii)p+q write the answers in standard form

$if p = 6.4 \times 10^{4} and q = 3.2 \times 10^{5}$ $find the values of$ $(i) p \times q$ $(ii) p + q$ $write the answers in standard form$

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