1. For positive numbers a ≤ b, the pulse function is defined as 0, x

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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1. For positive numbers a ≤ b, the pulse function is defined as
<
a. Sketch the graph of the pulse function.
b. Find lim Pb (x)
x→a+
c. Find lim Pb (x)
x→a
d. Find lim Pb (x)
x-b*
0, x <a
Pb(x)=1, a<x<b
|0, x ≥ b
e. Find lim Pb (x)
x→b
f. Discuss the continuity of the pulse function.
Transcribed Image Text:1. For positive numbers a ≤ b, the pulse function is defined as < a. Sketch the graph of the pulse function. b. Find lim Pb (x) x→a+ c. Find lim Pb (x) x→a d. Find lim Pb (x) x-b* 0, x <a Pb(x)=1, a<x<b |0, x ≥ b e. Find lim Pb (x) x→b f. Discuss the continuity of the pulse function.
2. Use the graph of f(x)=x² +3 to find a number & such that
|f(x)-5.25 <0.1 whenever |x-1.5|<8.
Interpret your answer on the graph below.
K
5
10
9
8
7
6
4
3
2
1
0
0
0.5
1
1.5
2
2.5
3
Transcribed Image Text:2. Use the graph of f(x)=x² +3 to find a number & such that |f(x)-5.25 <0.1 whenever |x-1.5|<8. Interpret your answer on the graph below. K 5 10 9 8 7 6 4 3 2 1 0 0 0.5 1 1.5 2 2.5 3
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For the following problem please help me solve (d,e,f)

1. For positive numbers a ≤ b, the pulse function is defined as
<
a. Sketch the graph of the pulse function.
b. Find lim Pb (x)
x→a+
c. Find lim Pb (x)
x→a
d. Find lim Pb (x)
x-b*
0, x <a
Pb(x)=1, a<x<b
|0, x ≥ b
e. Find lim Pb (x)
x→b
f. Discuss the continuity of the pulse function.
Transcribed Image Text:1. For positive numbers a ≤ b, the pulse function is defined as < a. Sketch the graph of the pulse function. b. Find lim Pb (x) x→a+ c. Find lim Pb (x) x→a d. Find lim Pb (x) x-b* 0, x <a Pb(x)=1, a<x<b |0, x ≥ b e. Find lim Pb (x) x→b f. Discuss the continuity of the pulse function.
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