Write a documented MATLAB program (bloodpressure.m) to illustrate blood pressure in the heart that is modeled with the following equation: y(t) = e^-8t sin (9.7t + pi/2) Plot the function for 0 lessthanorequalto t lessthanorequalto 0.5 seconds. Label the graph using the label Normalized Pressure Difference vs Time. Also label the x-axis "Time", and y axis 'Normalized Pressure'. Use vectorizing MATLAB commands instead of structured programming commands (e.g. for loop) that we will soon study. Newton's laws of motion are used to derive the following formula for the maximum height h achieved by an object thrown with a speed v at and angle theta to the horizontal: h = v^2 sin theta/2g. where g = 9.8m/sec^2. Create a documented MATLAB program (maximumheight.m) with a table showing the maximum height for each of the following values of speed and angle. Use the command array2table in your program. v = 10.12 14 16 18 .20 m/s theta = 50 degree, 60 degree, 70 degree,80 degree Provide the MATLAB commands needed to determine the solution to the following system of equations in a MATLAB program (linearequation.m). Use MATLAB to check the solution by multiplying coefficient matrix A with the solution vector x, to produce b. That is, Ax^bar = b^bar. w + 3x = 4y = 31 2w = x + 3y + z = 27 9x = 7y = 2z = 72 4w = 3x = 2y + 2z = 27