LAPLACE TRANSFORM Problem 1. Compute the Laplace Transform of fir) = (2-4). 2. Compute the Laplace Transform of f(1) = sin(ex+0). 3. Compute the Laplace Transform of f(t)=rsinh(4/). Hint: Use c{r}-(-1){FG)} where F(s) = C{RO}. 4. Compute the Laplace Transform of f(t)= te cos(21). 5. Compute the Laplace Transform of f()-sin(3) 6. Compute the Laplace Transform of (0)-e" sin(3). 7. Compute the Laplace Transform of 20(1-4). where U is the unit step function. Hint: Use c{80-a)}-e "C{1+a)} 8. Compute the Laplace Transform of (-r+2)U(-1). where U is the unit step function. 9. Compute the Laplace Transform of (3)U(1-2). where U is the unit step function. 10. Compute the Laplace Transform of 2 if0st