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9: Newton's Law of Cooling states that the rate of change in the temperature T of an object is proportional to the difference between the

image text in transcribed 9: Newton's Law of Cooling states that the rate of change in the temperature T of an object is proportional to the difference between the ambient temperature A (assumed to be constant) and the temperature of the object, i.e., dtdT=(AT) where depends on the the size, shape, and material of the object. When A=20,=0.4, and T(0)=57 the solution of this differential equation is T(t)=20+37e0.4t (a) In Python, define the function T(t). Create an array t of 101 equally-spaced t-values between 0 and 50, including 0 and 50. Create the corresponding array Tvals, where Tvals [i]=T(t[i]). What is the value of Tvals [ 13 ]? (b) Use Euler's method with step size h=0.5 to approximate the value of T(6.5). How could you improve this estimation

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