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Question Number 129308 Answers: 1 Comments: 0

tcos^3 t find laplace transform?

${t c o s}^{3} t f i n d l a p l a c e t r a n s f o r m ?$

Question Number 129292 Answers: 1 Comments: 1

Q 129271 please answer

$Q 129271 please answer$

Question Number 129268 Answers: 1 Comments: 0

(1/((s^2 +2s+5)^2 )) find inverse laplace

$\frac{1}{{(s^{2} + 2 s + 5)}^{2}} f i n d i n v e r s e l a p l a c e$

Question Number 129241 Answers: 1 Comments: 0

(e^(−πs) /(s^2 (s^2 +1))) find inverse laplace

$\frac{e^{- π s}}{s^{2} (s^{2} + 1)} f i n d i n v e r s e l a p l a c e$

Question Number 129185 Answers: 0 Comments: 2

∫_0 ^(π/2) (dx/( (√(97+sin^2 x)))) Hypergeometric form

$\int_{0}^{\frac{π}{2}} \frac{d x}{\sqrt{97 + {s i n}^{2} x}} H y p e r g e o m e t r i c f o r m$

Question Number 129145 Answers: 0 Comments: 1

1+(1/(1+(1^2 /(1+(2^2 /(1+(3^2 /(1+(4^2 /(1+(5^2 /(1+...))))))))))))

$1 + \frac{1}{1 + \frac{1^{2}}{1 + \frac{2^{2}}{1 + \frac{3^{2}}{1 + \frac{4^{2}}{1 + \frac{5^{2}}{1 + . . .}}}}}}$

Question Number 129132 Answers: 1 Comments: 0

Question Number 129047 Answers: 1 Comments: 0

1+(1/2)((1/(2.1!)))^2 +(1/2^2 )(((1.3)/(2^2 .2!)))^2 +(1/2^3 )(((1.3.5)/(2^3 .3!)))^2 +...=((√π)/(Γ^2 ((3/4))))

$1 + \frac{1}{2} {(\frac{1}{2.1!})}^{2} + \frac{1}{2^{2}} {(\frac{1.3}{2^{2} . 2!})}^{2} + \frac{1}{2^{3}} {(\frac{1.3.5}{2^{3} . 3!})}^{2} + . . . = \frac{\sqrt{π}}{Γ^{2} (\frac{3}{4})}$

Question Number 129018 Answers: 1 Comments: 0

((((√s)−1)^2 )/s^2 ) find the inverse laplace transformtion

$\frac{{(\sqrt{s} - 1)}^{2}}{s^{2}} f i n d t h e i n v e r s e l a p l a c e t r a n s f o r m t i o n$

Question Number 129010 Answers: 1 Comments: 1

Question Number 128931 Answers: 0 Comments: 2

Approximate Σ_(n=1) ^∞ ((√n)/(n^2 +1))

$A p p r o x i m a t e$ $\underset{n = 1}{\sum^{\infty}} \frac{\sqrt{n}}{n^{2} + 1}$

Question Number 128893 Answers: 1 Comments: 0

Question Number 128845 Answers: 1 Comments: 0

1+(1/2).((1.4)/((5.1!)^2 ))+(1/3).((1.4.6.9)/((5^2 .2!)^2 ))+(1/4).((1.4.6.9.11.14)/((5^3 .3!)^2 ))+...=((b^2 (√((b−(√b))/2)))/(aπ)) Find 5a−8b

$1 + \frac{1}{2} . \frac{1.4}{{(5.1!)}^{2}} + \frac{1}{3} . \frac{1.4.6.9}{{(5^{2} . 2!)}^{2}} + \frac{1}{4} . \frac{1.4.6.9.11.14}{{(5^{3} . 3!)}^{2}} + . . . = \frac{b^{2} \sqrt{\frac{b - \sqrt{b}}{2}}}{a π}$ $F i n d 5 a - 8 b$

Question Number 128731 Answers: 0 Comments: 2

for a>b>0 show that b<((ax^x +bx^(−x) )/(e^x +e^(−x) ))<a

$for a > b > 0 show that$ $b < \frac{{ax}^{x} + {bx}^{- x}}{e^{x} + e^{- x}} < a$

Question Number 128725 Answers: 0 Comments: 0

Σ_(n=1) ^∞ ((coth(nπ))/n^4 )

$\underset{n = 1}{\sum^{\infty}} \frac{c o t h (n π)}{n^{4}}$

Question Number 128561 Answers: 1 Comments: 0

Question Number 128566 Answers: 0 Comments: 1

1+(1/2)((1/2).(1/(1!)))^2 +(1/3)(((1.3)/2^2 ).(1/(2!)))^2 +(1/4)(((1.3.5)/2^3 ).(1/(3!)))^2 +...=_2 F_1 ((1/2),(1/2);2;1)=(4/π)

$1 + \frac{1}{2} {(\frac{1}{2} . \frac{1}{1!})}^{2} + \frac{1}{3} {(\frac{1.3}{2^{2}} . \frac{1}{2!})}^{2} + \frac{1}{4} {(\frac{1.3.5}{2^{3}} . \frac{1}{3!})}^{2} + . . . =_{2} F_{1} (\frac{1}{2}, \frac{1}{2}; 2; 1) = \frac{4}{π}$

Question Number 128557 Answers: 1 Comments: 0

Question Number 128522 Answers: 0 Comments: 0

f(t)=t+1 0≤t≤2 =3 t>2 find laplace transformation?

$f (t) = t + 1 0 ⩽ t ⩽ 2$ $= 3 t > 2$ $f i n d l a p l a c e t r a n s f o r m a t i o n ?$

Question Number 128485 Answers: 1 Comments: 0

f(t)=((1−cos2t)/t) find laplace transformation?

$f (t) = \frac{1 - c o s 2 t}{t}$ $f i n d l a p l a c e t r a n s f o r m a t i o n ?$

Question Number 128460 Answers: 2 Comments: 0

2e^(3t) sin4t find laplace transformation?

$2 e^{3 t} s i n 4 t$ $f i n d l a p l a c e t r a n s f o r m a t i o n ?$

Question Number 128445 Answers: 0 Comments: 0

tsinh2t sin3t find the laplace transformation?

$t s i n h 2 t s i n 3 t$ $f i n d t h e l a p l a c e t r a n s f o r m a t i o n ?$

Question Number 128321 Answers: 0 Comments: 1

Prove Σ_(n≥0) ^∞ (((a)_n (b)_n )/((c)_n n!))=((Γ(c)Γ(c−a−b))/(Γ(c−a)Γ(c−b))) Where (a)_n =Π_(k=0) ^(n−1) (k+a)

$P r o v e$ $\underset{n ⩾ 0}{\sum^{\infty}} \frac{{(a)}_{n} {(b)}_{n}}{{(c)}_{n} n!} = \frac{Γ (c) Γ (c - a - b)}{Γ (c - a) Γ (c - b)}$ $W h e r e {(a)}_{n} = \underset{k = 0}{\prod^{n - 1}} (k + a)$

Question Number 128382 Answers: 0 Comments: 1

y=x^x^2

$y = x^{x^{2}}$

Question Number 128256 Answers: 0 Comments: 6

1+(1/(2!1!))((1/2))^2 +(1/(3!2!))(((1.3)/2^2 ))^2 +(1/(4!3!))(((1.3.5)/2^3 ))^2 +....=(4/π) Prove the above Relation

$1 + \frac{1}{2! 1!} {(\frac{1}{2})}^{2} + \frac{1}{3! 2!} {(\frac{1.3}{2^{2}})}^{2} + \frac{1}{4! 3!} {(\frac{1.3.5}{2^{3}})}^{2} + . . . . = \frac{4}{π}$ $P r o v e t h e a b o v e R e l a t i o n$

Question Number 128236 Answers: 0 Comments: 1

(1/6)Σ_p ^∞ ((logp)/(p^2 −1))=((log1)/π^2 )+((log2)/(4π^2 ))+((log3)/(9π^2 ))+... (p=prime)

$\frac{1}{6} \underset{p}{\sum^{\infty}} \frac{l o g p}{p^{2} - 1} = \frac{l o g 1}{π^{2}} + \frac{l o g 2}{4 π^{2}} + \frac{l o g 3}{9 π^{2}} + . . . (p = p r i m e)$

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