Express the function () = {
0, 0 < ≤ 1
− 1, 1 < < 2
1, > 2
in terms of unit step function and
evaluate it’s Laplace transform.
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What is the Laplace transform of a unit step function?
The function can be described using Unit Step Functions, since the signal is turned on at `t = 0` and turned off at `t=pi`, as follows: `f(t) = sin t * [u(t) − u(t − π)]` Now for the Laplace Transform: `Lap{sin\ t * [u(t)-u(t-pi)]}` `=` `Lap{sin\ t * u(t)}- ` `Lap{sin\ t * u(t - pi)}`
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Answer:
1 is greater than 2.This is your answer
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