In Exercises 11–14, find the arc length parameter along
Chapter 12, Problem 11E(choose chapter or problem)
In Exercises \(11–14\), find the arc length parameter along the curve from the point where \(t = 0\) by evaluating the integral
\(s=\int_{0}^{t}|v(\tau)| d \tau\)
from Equation \((3)\). Then find the length of the indicated portion of the curve.
\(r(t)=(4 \cos t) i+(4 \sin t) j+3 t k, \quad 0 \leq t \leq \pi / 2\)
Equation Transcription:
Text Transcription:
11 - 14
t = 0
S = integral_0 ^t |v(tau)| d tau
(3)
r(t) = (4 cos t)i + (4 sin t)j + 3tk, 0 leq t leq pi/2
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