Arc Length ParameterIn Exercises 11–14, find the arc length parameter along the curvefrom the point where t = 0 by evaluating the integralS =|v(7)| drfrom Equation (3). Then find the length of the indicated portion of thecurve.11. r(t)= (4 cos t)i + (4 sin t)j + 3t k, 0 stS T/2

The arc length is, 5π/2 The detailed solution is as follows below:

Answered: from Equation (3). Then find the length…

from Equation (3). Then find the length of the indicated portion of the curve. 11. r(t) = (4 cos t)i + (4 sin t)j + 3tk, 0st ST/2 %3D

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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Question

Arc Length Parameter
In Exercises 11–14, find the arc length parameter along the curve
from the point where t = 0 by evaluating the integral
S =
|v(7)| dr
from Equation (3). Then find the length of the indicated portion of the
curve.
11. r(t)
= (4 cos t)i + (4 sin t)j + 3t k, 0 stS T/2

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