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determine the Laplace transform of the following functions: a) f(t) = { 1 if 0 <...

determine the Laplace transform of the following functions:

a) f(t) = { 1 if 0 < t < 5,

0 if 5 < t < 10,

e^ 4t if t > 10

b) g(t) = 6e −3t − t 2 + 2t − 8

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