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Step function and Laplace transform

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Sketch the step-function
f(t) = 1, 0 < t < 1
2,1 < t < 2
1,2 < t < 3
0,3 < t < &#8734;
Rewrite this function in terms of the unit-step function ,and compute the Laplace transform of f.Simplify your answer by collecting similar terms.
Hint: Use the formula
0, t < C
1,t > C and 0, t < a
1, a < t < b
0, t > b
to reexpress f.

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The solution provides an example of rewriting a function as a unit-step function and computing Laplace transform.

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