-9 -6 Arc length: 9 -3 6 3 3 6 ∞o -3 -6 -9 In the animation above you can see a curve that is traced by a point on the perimeter of a circle rolling around another circle of the same radius. The parametric presentation of this curve is r(t) = [z(t)] [8] = [ Find the arc length of the curve. - [3(2 cost – cos 2t) 3(2 sin tsin 2t) 31₁ t = [0, 2π),

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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-9
-6
Arc length:
9
-3
6
3
3
6
∞o
-3
-6
-9
In the animation above you can see a curve that is traced by a point on the perimeter of a circle rolling
around another circle of the same radius. The parametric presentation of this curve is
r(t) = [z(t)]
[8] = [
Find the arc length of the curve.
-
[3(2 cost – cos 2t)
3(2 sin tsin 2t)
31₁
t = [0, 2π),
Transcribed Image Text:-9 -6 Arc length: 9 -3 6 3 3 6 ∞o -3 -6 -9 In the animation above you can see a curve that is traced by a point on the perimeter of a circle rolling around another circle of the same radius. The parametric presentation of this curve is r(t) = [z(t)] [8] = [ Find the arc length of the curve. - [3(2 cost – cos 2t) 3(2 sin tsin 2t) 31₁ t = [0, 2π),
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