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 is given by the function f(x) = 20 + 10x degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 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 us (2, 0.1). Put uz (2. 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box. Uz
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 is given by the function f(x) = 20 + 10x degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 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 us (2, 0.1). Put uz (2. 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box. Uz
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Transcribed Image Text: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 is given by the function f(x) = 20 + 10x degrees Celsius. The ends of the
bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at
time t, with t measured in seconds. Find u(x, t) and then u; (2, 0.1).
Put uz (2. 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
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