Consider the two functions f(t) = h(t)h(3 – t) and g(t) = h(t) – h(t – 3).(a) Are the two functions identical?(b) Show that L[f(t)] = L[g(t).

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functions identical?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

Consider the two functions f(t) = h(t)h(3 – t) and g(t) = h(t) – h(t – 3).
(a) Are the two functions identical?
(b) Show that L[f(t)] = L[g(t).

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