Let F(s)=(s+2)(s+3)5(s+1)​ (a) Use the initial and final value theorems to find f(0) and f([infinity]). (b) Verify your answer in part (a) by finding f(t), using partial fractions. (05 points) Q2. Find the inverse laplace transform of (a) F(s)=(s+1)2(s+4)2s2+5s+6​. (b) F(s)=(s+1)(s2+4s+8)10​ (05 points) Q3. A system has the transfer function H(s)=(s+1)(s+2)s​ (a) Find the impulse response of the system. (b) Determine the output y(t), given that the input is x(t)=u(t). (05 points)