t Find the arc length parameter along the given curve from the point where t = 0 by evaluating the integral s(t) = |v(t)| dt. Then find the length of the 0 indicated portion of the curve r(t) = 7costi + 7sint j +3t k, where 0≤t≤. The arc length parameter along the curve, starting at t=0 is s(t) = . (Type an exact answer, using radicals as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%

Pls solve s(t) & the length of the indicated portion of the curve is __ units. Thank you & I will give thumbs up. 

t
Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral s(t) = [[v(™)| dt. Then find the length of the
0
indicated portion of the curve r(t) = 7cost i +7sin tj + 3t k, where 0≤t≤t.
The arc length parameter along the curve, starting at t = 0 is s(t):
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:t Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral s(t) = [[v(™)| dt. Then find the length of the 0 indicated portion of the curve r(t) = 7cost i +7sin tj + 3t k, where 0≤t≤t. The arc length parameter along the curve, starting at t = 0 is s(t): (Type an exact answer, using radicals as needed.)
Expert Solution
Step 1: Definition

Let r(t) be a space curve. The derivative of r(t) is

v(t)=drdt

Then the arc length from t=0 to t=t is defined by

S(t)=0t|v(t)|dt

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