Question

In: Math

Let f (t)  = { 7 0  ≤  t  ≤  2π cos(5t) 2π  <  t  ≤ ...

Let

f (t)  =
{ 7 0  ≤  t  ≤  2π
cos(5t) 2π  <  t  ≤  4π
e3(t−4π) t  >  4π

(a) f (t) can be written in the form

g1(t)  +  g2(t)U(t − 2π)  +  g3(t)U(t − 4π)

where U(t) is the Heaviside function. Enter the functions g1(t), g2(t), and g3(t), into the answer box below (in that order), separated with commas.
(b) Compute the Laplace transform of  f (t).

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