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3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tstst a) Find Hhe are -length of G, LI6) -length of C, L equetion (c) 5) Find of the tengat line to cat t=o

3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tstst a) Find Hhe are -length of G, LI6) -length of C, L equetion (c) 5) Find of the tengat line to cat t=o

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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of 3/let the curve c be given by r(t)=2t-5, Sint,-Cost) for T st< T a) Find the are-length by c-kengh of G, L(C) 5) Find equetion of Hthe tengent line to cat t=o
Transcribed Image Text:of 3/let the curve c be given by r(t)=2t-5, Sint,-Cost) for T st< T a) Find the are-length by c-kengh of G, L(C) 5) Find equetion of Hthe tengent line to cat t=o
Expert Solution
Step 1

r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c) =∫-ππ|r'(t)|dt =∫-ππ5dt=5∫-ππ1dt=5t-ππL(c) =5 π+π=25π L(c) =25π units

 

 

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