Consider the curve segments: 1 $1: y = x from x = to x = 4 and 3 1 S2: y = Vxfrom x = -to x = 16. Set up integrals that give the arc lengths of the curve segments by integrating with respect to y. The length of the first segment is L, /1 + 4y² dy and the length of the second segment is L2 -dy. + 2y 16 4 The length of the fırst segment is LI +dy and the length of the second segment is L2 /V1+ 4y°dy. 16 1 -dy and the length of the second segment is L2 = /- / VI+ 4y° dy. The length of the first segment is LI 16 1 The length of the first segment is Lj = / v I + 2ydy and the length of the second segment is L2 2y 16 1 The length of the first segment is L, I + 2ydy and the length of the second segment is L2 1 + -dy. 2y

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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Čonsider the curve segments:
1
$1: y = x from x = to x = 4 and
3
1
S2: y = Vxfrom x = to x = 16.
Set up integrals that give the arc lengths of the curve segments by integrating with respect to y.
The length of the first segment is LI = /
1+ 4y² dy and the length of the second segment is L2 =
+dy.
2y
16
4
1
dy and the length of the second segment is L2 = | V1+ 4y² dy.
4y
The length of the first segment is Lj
16
1
The length of the first segment is LI
1 +
-dy and the length of the second segment is L2 = / V1+ 4y² dy.
4y
3
16
1
The length of the first segment is Lj =/ VI +2ydy and the length of the second segment is L2
+
-dy.
2y
16
1
The length of the first segment is LI =
VI + 2ydy and the length of the second segment is Ls
+
-dy.
2y
Transcribed Image Text:Čonsider the curve segments: 1 $1: y = x from x = to x = 4 and 3 1 S2: y = Vxfrom x = to x = 16. Set up integrals that give the arc lengths of the curve segments by integrating with respect to y. The length of the first segment is LI = / 1+ 4y² dy and the length of the second segment is L2 = +dy. 2y 16 4 1 dy and the length of the second segment is L2 = | V1+ 4y² dy. 4y The length of the first segment is Lj 16 1 The length of the first segment is LI 1 + -dy and the length of the second segment is L2 = / V1+ 4y² dy. 4y 3 16 1 The length of the first segment is Lj =/ VI +2ydy and the length of the second segment is L2 + -dy. 2y 16 1 The length of the first segment is LI = VI + 2ydy and the length of the second segment is Ls + -dy. 2y
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