Question: Suppose we have a rod that is 1.8 metres long. The rod has been heated so that its temperature is: u(z, 0) 42.95 if

Suppose we have a rod that is 1.8 metres long. The rod

Suppose we have a rod that is 1.8 metres long. The rod has been heated so that its temperature is: u(z, 0) 42.95 if z < 1.04 88.4 otherwise The rod is insulated at both ends, so that uz (0, t) = uz(1.8, t) = 0. Find the temperature of the rod in degrees at the z-coordinates, times, and values in the table below. Fill out the table below with your answers. Answer z-coordinate Time Conductivity I 0.25 1.47s k = 0.63 0.16s k = 0.69 1.11s 0.2 0.498 K 0.44 0.998 k = 0.21 I= 0.49 I= 0.79 I=1.44 1.69 I Temperature u(r, t) = u(x, t) = u(x, t) = u(x, t) = u(x, t) =

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