Use the following data: T1 = 70 degree F, T2 = 200degree F, and W = L = 2 ft. Th

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Use the following data: T1 = 70 degree F, T2 = 200degree F, and W = L = 2 ft. The terms in the preceding series become smaller in magnitude as n increases. Write a MATLAB program to verify this fact for n = 1, . . . , 19 for the center of the plate (x = y = 1). Using x = y = 1, write a MATLAB program to determine how many terms are required in the series to produce a temperature calculation that is accurate to within 1 percent. (That is, for what value of n will the addition of the next term in the series produce a change in T of less than 1 percent?) Use your physical insight to determine whether this answer gives the correct temperature at the center of the plate. Modify the program from part b to compute the temperature in the plate; use a spacing of 0.2 for both x and y.

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