r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 to 1. Please show work explaining how arc length was solved for.

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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r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 to 1. Please show work explaining how arc length was solved for. 

 

 

F7(t) = (2VE, cos (2t3/2), sin (2t3/2)
Transcribed Image Text:F7(t) = (2VE, cos (2t3/2), sin (2t3/2)
Expert Solution
Step 1

Given rt defines a curve where r(t)=2t,cos2t3/2,sin2t3/2.

we have to find length of the curve when 0t1.

The length of the curve is given by:

L=abdxdt2+dydt2+dzdt2dt.

 

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