explain and show all work answer all parts A to D all previous answers are wrong so don't use them or I will give you a thumbs down and report you

Problem 2. (20 points) The mean heat capacity cp between two temperatures Tref and T can be calculated by cp=TTrefTrefTcpdT Use the data in a table below to complete empty columns for the mean heat capacity of n-propane. Reference temperature is 0C(273.15K). (a) Calculate the mean heat capacity using the trapezoid rule. (hint: use the trapz function.) Fill out the results in the table. (b) Find an order 3 polynomial to fit the data points by the polynomial regression. Plot both the data points and the approximating polynomial on a plot. Display the equation of the polynomial on the plot. (c) Integrate the approximating polynomial in part (b) to calculate the mean heat capacity using Simpson's Rule. Fill out the results in the table. (d) Repeat part (c) using the integral function. Fill out the results in the table