Question: solve using MATLAB language only. Newtons Law of Cooling Newtons law states that heats move from objects to its surroundings. The rate of the temperature

solve using MATLAB language only.

Newtons Law of Cooling

Newtons law states that heats move from objects to its surroundings. The rate of the temperature change is proportional to the temperature difference between the object and its surroundings.

Temperature at time t of the object is equal to :

T(t)=Ts+(T0 Ts)ekt

T(t) = temperature of the object at time t (kelvin) Ts = temperature of the surrounding area (kelvin) T0 = initial temperature of the object (kelvin) k = cooling constant, specific to the object (1/s)

t = time (s)

Generate 1000 linearly spaced values of T0 between 200 and 300 Kelvin.

Get the value of Ts from the user. 5

Get the value of k from the user.

Generate t values between 0 to 10 seconds with increments of 0.1.

Calculate the resulting temperature T(t) for each T0 and t combination using matrix operations, and store this result in a 2D matrix.

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