Finding the Laplace Transform of a Function with Heaviside Terms

[math_04]

Homework Statement

the function is with the attachment

The question is

(i) Express f(t) in terms of the Heaviside function and hence or otherwise find L(f(t)), the Laplace transform of f(t).

Homework Equations

The Attempt at a Solution

Everything is in the attachment. Please have a look and I would really appreciate it if you could give me the whole solution. I got an answer but not sure if it is right.

 

[vip_snoopy]

could you show us what you have done please?

 

[math_04]

You got to wait for the attachment to be approved. it takes a while...its a bit too long to write on the template plus i don't have the math symbols so it mite get a bit confusing

 

[math_04]

any hints or solution?

 

[Defennder]

You restatement of f(t) in terms of the Heaviside function u(t-a) is incorrect. In particular there is supposed to be a u(t) term which does not appear anywhere in your solution.