Laplace transform

What is the Value of L[1]

• 1/s

• 1/2s

• 0

• none of the above

Laplace transform is used to solve

• Matrices

• differential equations

• vectors

• lpp

which of the following shape is circle?

• 
• 
• 
• 

What is the value of L(x)

• $\frac{1}{s^2\ }$
  

• 1/s

• 1/2s

• none

Probability of an impossible event is

• 1

• 0

• 0.5

• none

Laplace Transform transforms a function from

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

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

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

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

What is Laplace Transform for  $6\ \sin\ 2t$  ?

•  $\frac{2}{s^2+4}$  

•  $\frac{s}{s^2+4}$  

•  $\frac{6}{s^2+4}$  

•  $\frac{12}{s^2+4}$  

Find  $L\left(t^3-3t^2+5t\right)$  

•  $\frac{6}{s^4}-\left(\frac{6}{s^3}\right)+\frac{5}{s^2}$  

•  $\frac{3}{s^3}-\left(\frac{1}{s^{\left(2\right)}}\right)+\frac{1}{s}$  

•  $\frac{2}{s^3}-\left(\frac{3}{s^{\left(2\right)}}\right)+\frac{5}{s}$  

 $L\left(t\ \cos\ 6t\right)$  Which Laplace property is use to solve this?

• Linearity Property

• Derivative of Laplace Transform

• First Shifting Property

• Second Shifting Property

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

• sin t

• sin 5t

• cos t