Compute the inverse laplace transform of the function

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1. Determine Laplace transform of (2-2e^-4t)u(t)

2. Determine if x(t) = 9cos(2t)+4sin(pi t) is periodic; if periodic, calculate the period.

3. Compute the inverse Laplace transform of X(s)= (s+2)/(s^2+ 7s + 12).

4. Determine if y(t)=cos(x(t)) is linear, time-invariant, and/or causal

Reference no: EM13229529

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