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math_04
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Homework Statement
The function f(t) is defined for t>=0 by
f(t) = 1 for 0<= t <= 1 , t-2 for 1 <=t <= 2 and 0 for t >2
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
So i figured out the Heaviside function is
f(t) = u (t) - (t-2)u(t-2) + u(t-2)
Is the above function right? One more thing, how do u figure out the signs like how do u know it is u(t-2) instead of -u(t-2)?
So to find L(f(t) how do u do do that. I know that u(t) has to be changed to something else but thing is I have no idea how to manipulate these kind of functions. Please do offer help.
Thanks.