i need help solving c,d,e required matlab . a and b i'm done with.

Question 2: State Space Analysis 125 marks] Consider the following system External Force Damper mas Smooth Surface No Friction Spring Figure 2: A spring, mass, damper system. A spring, mass, damper system (Fig. 2) can be written as a two-state differential system in the following way x1 where x and xe are the displacement and velocity of the mass in the system, k is the spring constant. b is the damping constant, m is the mass, and f is the external force. Please answer the following questions assuming m 0.1, b-005, k-o.7: a) Is this system stable? please justify your answer. I5 marksl b) Is this system controllable? please justify your answer. 15 marksl c) Simulate this model in MATLAB (using Euler's method) over the interval t- lo 25) when u-o and x(0) = ). Plot the results of this simulation using an appropriately labelled plot. 15 marks) 0.5 d) Simulate this model in MATLAB (using the MATLAB function initiab over the 0.5 interval t- lo 25) when u -o. and x(O). Plot the results of this simulation using an appropriately labelled plot. I5 marks) e) Simulate the response of this system over the interval t lo 25) to an external force that is an impulse function using the MATLAB function impulse. Does the impulse response make sense based on your response to a)? 15 marks Assignment One