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  1. mathematics
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  3. let f?(t) ?= { 7 0 ??? t ??? 2? cos(5t) 2? ?

Let f?(t) ?= { 7 0 ??? t ??? 2? cos(5t) 2? ?<? t ??? 4? e3(t?4?) t ?>? 4? (a) ?f?(t) can be written...

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Verified Solution

Question

Basic Math

Let

f?(t) ?=
{70 ??? t ??? 2?
cos(5t)2? ?t ??? 4?
e3(t?4?)t ?>? 4?

(a)?f?(t) can be written in the form

g1(t) ?+?g2(t)U(t ?2?) ?+?g3(t)U(t ?4?)

where U(t) is the Heaviside function. Enter thefunctions g1(t),g2(t), andg3(t), into the answer box below (inthat order), separated with commas.
(b)Compute the Laplace transform of?f?(t).

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