Given a > 0, let f(1) = 1 if 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given a > 0, let f(1) = 1 if 0 <t < a, f(t) = 0 if t 2 a.
First, sketch the graph of the function f, making clear its
value at i = a. Then express f in terms of unit step func-
tions to show that L{f(t)} = s='(1– e-as).
Transcribed Image Text:Given a > 0, let f(1) = 1 if 0 <t < a, f(t) = 0 if t 2 a. First, sketch the graph of the function f, making clear its value at i = a. Then express f in terms of unit step func- tions to show that L{f(t)} = s='(1– e-as).
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