LAPLACE TRANSFORM Problem 1. Compute the Laplace Transform of f)-(2-4) 2. Compute the Laplace Transform of f(t)=sin(x + 0). 3. Compute the Laplace Transform of fir)=rsinh(47). Hint: Use c{A}-(-1){F)} where F(x) = C{An} 4. Compute the Iaplace Transform of f(t)= te cos(21) 5. Compute the Laplace Transform of f()-/sin(3) 6. Compute the Laplace Transform of (0)-esin(3). 7. Compute the Laplace Transform of 20(-4). where U is the unit step function. Hint: Use c{x-a)}-e "C{gu+a)} 8. Compute the Laplace Transform of (-+2)/(-1). where U is the unit step function. 9. Compute the Laplace Transform of (3)U(-2). where U is the unit step function. 10. Compute the Laplace Transform of 2 if0sr 15. Compute the Laplace Transform. f 16. Compute the Laplace Transform. 2+ (1.1) (01.1) 17. Compute the I aplace Transform of Hint: Use L{^)} =[* F(u)du where F(s) = {f}, and simply replace s by u. 18. Compute the Laplace Transform of Hint: Use L 2-2 cos al c{} =["F(u)du where F(s) = {f}, and simply replace s by u.