= 1 4. (20 points) Consider a bar 30cm long that is made of a material for which a² Assume both the sides and the ends of the bar are insulated. Suppose that the initial temperature is given by f(x) = 4 cos (7x) - ½ cos (1) for x = (0,30). (a) (5 points) According to the description in the problem, set up the corresponding heat equation of the temperature u = u(x,t) with suitable initial and boundary conditions. (b) (15 points) Solve the heat equation to find the temperature u.

= 1 4. (20 points) Consider a bar 30cm long that is made of a material for which a² Assume both the sides and the ends of the bar are insulated. Suppose that the initial temperature is given by f(x) = 4 cos (7x) - ½ cos (1) for x = (0,30). (a) (5 points) According to the description in the problem, set up the corresponding heat equation of the temperature u = u(x,t) with suitable initial and boundary conditions. (b) (15 points) Solve the heat equation to find the temperature u.

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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