Find the distance traveled by a particle with position (x, y) as t varies in the given time interval x = cos²(t), y = cos(t), 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 26E
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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.
x = cos² (t), y = cos(t), 0 ≤ t≤ 6π
Compare with the length L of the curve.
L
==
Transcribed Image Text:Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = cos² (t), y = cos(t), 0 ≤ t≤ 6π Compare with the length L of the curve. L ==
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