A thin bar of length L = 3 meters is situated along thex axis so that one end is at x = 0 and the other end isat x = 3. The thermal diffusivity of the bar is k = 0.4.The bar's initial temperature f(x) = 50 degrees Celsius.The ends of the bar (x = 0 and x = 3) are then put in%3Dan icy bath and kept at a constant 0 degrees C. Letu(x, t) be the temperature in the bar at x at time t,with t measured in seconds. Find u(x, t) and thenU7 (2, 0.1).Put u (2, 0.1) calculated accurately to the nearestthousandth (3 decimal places) in the answer box.

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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) = 50 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.

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) = 50 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.

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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