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) = 120 - 12x 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(r, t) and then и (2, 0.1). Put us(2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
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) = 120 - 12x 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(r, t) and then и (2, 0.1). Put us(2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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 isk = 0.4. The bar's initial temperature is given by the function f(x) = 120 - 12x
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(r, t) and then
и (2, 0.1).
Put us(2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
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