Question: (c) Show that for some x, 0 x 1, ut(x, 0) is positive and for others it is negative. How is the sign of

(c) Show that for some x, 0 x 1, ut(x, 0) is positive and for others it is negative. How is the sign of ut (x,0) related to the shape of the initial temperature profile? How is the sign of ut (x, t), t > 0, related to subsequent temperature profiles? Graph the temperature profile for t = 0,0.2, 0.5, 1 on the same axis (you may use Matlab).

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