4) The temperature U(x, t) as a function of position x and time, t, of a metal bar obeys the following PDE: Ut = 2Uxx The bar is 2 units long and the ends are kept at 0 degrees. The initial temperature of the bar is U(x,0) = 3sin(2x). A) Sketch the initial temperature U(x, 0). How many maxima and how many minima does U(x, 0) have in the interval [0, 2+]? B) What is the maximum temperature along the bar at t = 0 ?

4) The temperature U(x, t) as a function of position x and time, t, of a metal bar obeys the following PDE: Ut = 2Uxx The bar is 2 units long and the ends are kept at 0 degrees. The initial temperature of the bar is U(x,0) = 3sin(2x). A) Sketch the initial temperature U(x, 0). How many maxima and how many minima does U(x, 0) have in the interval [0, 2+]? B) What is the maximum temperature along the bar at t = 0 ?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

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