QUESTION 2 A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial...

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Extracted text: QUESTION 2 A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 75 degrees Celsius. The ends of the bar (x = 0 and x = 3] are then put in an icy bath and kept at a constant O degrees C. Let u(r, t) be the temperature in the bar at x at time t with t measured in seconds. Find u(x, t) and then u4 (2, 0.1). Put ug (2. 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.