1) Find the inverse Laplace transform of F(s)=[3e^(2s)4e^(3s)+1e^(4s)6e^(7s)]/s 2) Consider the function f(t) = { -5, 0 =2 } 6) Find the Laplace transform of

1) Find the inverse Laplace transform of

F(s)=[3e^(2s)4e^(3s)+1e^(4s)6e^(7s)]/s

2) Consider the function f(t) =

{

-5, 0<=t<2

2, 2<=t<5

3, t>= 5

}

1. Write the function in terms of unit step function

2. Find the Laplace transform off(t)

3)Find the inverse Laplace transform of

F(s) = e^(-8s)/s^2+s-12

4)Find the inverse Laplace transform of

F(s) = (4e^(-s))/(s^2+4)

5)Find the Laplace transform of

f(t) =

{

0, t<2

(t-2)^5, t>=2

}

6)

Find the Laplace transform of

f(t)=

{

0, t<5

t^2-10t+30, t>=5

}

5,2,3,mkkmjmkm0t<22t<5t5