no need to do this below question *previous question for any data

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*jupyter notebook*

Experiments show that the time rate of change of the temperature T of a body B (which conducts heat well, for example, as a copper ball does) is proportional to the difference between T and the temperature of the surrounding medium TA (Newton's law of cooling). dT =k(T-T) where the solution to this differential equation is: T(t)=T, + cell Assume Ta = 45 F, k = -0.056, c = 25. In this section, we will use Python to solve (Newton's law of cooling) problem. This involves obtaining a solution of T = k(T-1) Given an initial condition for time and temperature T(O) = 70F, the problem involved iteratively solving the formula, Therefore, you have to apply the formula repeatedly to step out from our initial time to attain the value at the final time. Now, you have to measure the effect of Ar on the estimated temperature accuracy. a) Write a python script to plot MSE at different Ar values (Ar=0.01:1 with step 0.01). Label both axes and add the gridlines. b) Conclude your results. Q5: a) Plot both true and estimated temperature versus time (t), where 1-0:8, Ar = 0.73. Label both axes, add gridlines and include legends b) Compute the Mean Square Error (MSE) between them. c) Is the error bigger or smaller compared to the case of Ar=0.5. d) What do you think the reason for that result