BuyFind

Essential Calculus: Early Transcen...

2nd Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781133112280
BuyFind

Essential Calculus: Early Transcen...

2nd Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781133112280

Solutions

Chapter 11.3, Problem 78E

(a)

To determine

To find: The value of Tx and explain its physical significance.

(b)

To determine

To find: The value of Tt and explain its physical significance.

(c)

To determine

To show: The function T(x,t)=T0+T1eλxsin(ωtλx) satisfies the heat equation Tt=kTxx for a constant k.

(d)

To determine

To sketch: The graph for a function T(x,t)=T0+T1eλxsin(ωtλx) where λ=0.2,T0=0,T1=10 .

(e)

To determine

To explain: The physical significance of the term λx in the expression sin(ωtλx) .

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