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MATLAB: Solve system of linear equations Heat transfer application. Double-pane windows are an engineering triumph. I have a double-paned window. The glass panes are Delta

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Heat transfer application. Double-pane windows are an engineering triumph. I have a double-paned window. The glass panes are Delta x_glass = 0.004 thick, and the argon in between is Delta x_argon = 0.01. The outside heat transfer coefficient is h_o = 45. and the inside coefficient is h_i = 12. The thermal conductivity of the glass is kg = 0.8, and the conductivity of the argon is 0.016. Let the outside temperature be T_out, and assume that the inside temperature is 23 (room temperature). The temperatures of the four glass surfaces, T_1, T_2, T_3, and T_4 are given by the system of four equations (obtained by balancing heat flux at each interface): h_o (T_out - T_1) = k_g T_1 - T_2/Delta x_glass k_g T_1 - T_2/Delta x_glass = k_a T_2 - T_3/Delta x_argon k_a T_2 - T_3/Delta x_argon = k_g T_3 - T_4/Delta x_glass kg T_3 - T_4/Delta x_glass = h_i (T_4 - 23) Write a Matlab script file to find a vector containing the T_1, T_2, T_3, and T_4 temperatures. What are the temperatures if T_out = 39

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