Inverse Laplace Transform

Inverse L of (1/S+a)

• e^at

• e^-at

• e(at)

• e(-at)

Inverse L(s/s²+a²⁾

• sin at

• sinh at

• cos at

• cosh at

Inverse L (a/(S² +a²)

• sin at

• sinh at

• cos at

• cosh at

Inverse L(1/s⁹⁾

• t⁸/8!

• t⁹ /8!

• t⁹/9!

• t⁸/9!

inverse L of (s/s² -a²)

• sin at

• sinh at

• cos at

• cosh at

How many zeroes in impulse response  $H\left(s\right)=\frac{5s}{s^2-4}^{ }$  

• 5

• 4

• 1

• 0

 How many poles in impulse response  $H\left(s\right)=\frac{2}{\left(s+3\right)\left(s+5\right)}$  

• 1

• 2

• 3

• 4

Inverse Laplace transform, transform

• $f\left(t\right)\ to\ F\left(s\right)$

• $F\left(s\right)\ to\ f\left(t\right)$

• $f'\left(t\ \right)\ to\ f\left(t\right)$

• $f\left(t\right)\ to\ f'\left(t\right)$

Find  $L^{-1}\left(\frac{s}{s^2+25}\right)$  

• cos 25t

• sin 5t

• cos 5t

Find  $L^{-1}\left(\frac{s}{s^2+25}\right)$  

• cos 25t

• sin 5t

• cos 5t