(b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. - fº√₁ (I) L = (II) L = 1 + dy dx dx [*√ ₁ + (+)² 1+ dx dy

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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Sketch the curve

y3 = x2.
 
у
X
Transcribed Image Text:у X
(b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral.
2
L =
- 6₁1
1
L =
(I) L =
10
(II) L =
b
fºr
Ja
1 +
dy
dx
d
[²√₁ + (OX) ²
dx
1
dy
dx =
dy=
dx
dy
(c) Find the length of the arc of this curve from (-8, 4) to (27, 9).
Transcribed Image Text:(b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. 2 L = - 6₁1 1 L = (I) L = 10 (II) L = b fºr Ja 1 + dy dx d [²√₁ + (OX) ² dx 1 dy dx = dy= dx dy (c) Find the length of the arc of this curve from (-8, 4) to (27, 9).
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