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Please provide Matlab solution with Function at seperate m.file Problem02. When a thin hot plate is suddenly taken out of an oven and is exposed

Please provide Matlab solution with Function at seperate m.file

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Problem02. When a thin hot plate is suddenly taken out of an oven and is exposed to the surrounding air, it cools due to heat loss by convection and radiation. The rate at which the plate's temperature, T, is changing with time is given by: dT As -1 air where As is the plate's surface area, p-300 kg/m3 is its mass density, V is its volume, Cv-900 J/kg/K is its specific heat at constant volume, and :0.8 is its radiative emissivity. Also, ose: 5.67 x 1 W/m?/K is the Stefan-Boltzmann constant, h 30 W/m2/K is the heat transfer coefficient, and Tair is the ambient air temperature. Write a user defined MATLAB function that calculates the temperature of the plate as a function of time for the first 180 s after the plates is taken out of the oven, and display the results in a figure. Apply two methods to solve the above equation. Use the function to make a plot that shows the variations of temperature with the time for a plate with V-0.003 m3, As-0.25 m2, which has an initial temperature of 673 K, when the ambient air temperature is 298 K. Determine the temperature of the plate after 180 s. 08

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