please read the questions correctly

Q2 (35%). A stirred-tank blending system can be described by a first-order transfer function between the exit composition x and the inlet composition X. X and X are mass fractions of solute. X'(s) K X/(s) TS+1 where K = 1.4 (dimensionless) and 1 = 10 min. When the blending system is steady-state, * = 0.52, the dynamic behavior is tested by quickly adding a large amount of a radioactive tracer. This process by approximated by an impulse function with magnitude of 2.6. a) Calculate the exit composition response x(t) using Laplace transforms (10 pts) and sketch x(t) by using Microsoft Excel. (7 pts) b) Based on the analytical expression, what is the of x(O)? (8 pts) c) If the process is initially at steady state with i = 0.52, what is the of x(O)? Compare this answer with the value of part b and discuss the differences. (10 pts) Q3 (25%). Following ordinary differential equation (ODE) is given with the initial conditions: day + 11 dt? +36% +36y=1 700) = y'(0) = y"(0) = 0 dt a) Apply partial fraction expansion and Heaviside expansion to find the solution, y(t). (20 pts) b) Find y(4), (5 pts)