Hi , can you help me with this mathematics problem.

Portfolio 1 consists to content from the week 1, 2 and 3 workshops. It is due Friday 11: 59pm in week 4. The portfolio submission is online (on Blackboard), and should be submitted either as a PDF or as a live script (mix file). Hand working is fine as long as it is neatly set out and scanned. If a student's sends multiple submissions before the due date, the tutor will only mark the most recent submission. This portfolio should be formatted so that the start to each question is clearly marked, and the final answer to each question is clearly highlighted. There is no page limit, but you should aim to keep worded responses to questions concise. Solutions to a portfolio from a previous year have been provided to give people an example of portfolio formatting Eddie the engineer works at a spring manufacturing plant. His job is to test the springs manufactured to ensure quality control. in a spring test. Eddie releases the spring from rest at a height of 20 cm beyond the spring's natural length (i.e. v(0) - 20). He finds that the resulting vibration has a period of 1 s and that the amplitude of the version halves after 3 s ("halt-life"). From his knowledge of damped springs, he also knows that the spring should behave according to the equation y(t) = Ae^bt cos(ct). Solve the function parameters A, b and c using hand working, and hence write down the equation y(t) for the spring he tested. Plot the solution in MATLAB and comment whether the plot matches the observations from the test. Differentiate y(t) to get an expression for spring velocity. Use the max function in MATLAB to find the maximum velocity of the spring. Write a function in MATLAB which outputs A, b, and c. given the initial height, period and "half-life'' are provided as inputs. Apply the function to verify your answers for a)