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8. Find the curvature of the vector-valued function r(t) =<, -4t,;> at the point t = -1.

8. Find the curvature of the vector-valued function r(t) =<, -4t,;> at the point t = -1.

Calculus: Early Transcendentals
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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Would someone mind double checking my work for me please? Thanks!
= 34 8. Find the curvature of the vector-valued function r(t) =<÷, -4t,÷> at the point t = -1. fle)= 3 f'(t)= 3t -4, -3 -bt = - 6 t3 27 gl6). -4 -At g'le)= t=-1=(- -13 - 4 4 -4 18 > -4 9"(t) =0 h'lt)= -1? h" (t)= 24°= 2 (-1)3 %3D 10,-2) r'(e) Xr"(e) = ((-4.6-2)- (-1-0), (4- 18)- (b. -2) , (6-0)-(4.18)W w' Ws ,(-18 + 12), 6 + 72)) K= 15284 (155) .1883942312 %3D 36 +16 +1 64 +36 + 5184 J5284 53
Transcribed Image Text:= 34 8. Find the curvature of the vector-valued function r(t) =<÷, -4t,÷> at the point t = -1. fle)= 3 f'(t)= 3t -4, -3 -bt = - 6 t3 27 gl6). -4 -At g'le)= t=-1=(- -13 - 4 4 -4 18 > -4 9"(t) =0 h'lt)= -1? h" (t)= 24°= 2 (-1)3 %3D 10,-2) r'(e) Xr"(e) = ((-4.6-2)- (-1-0), (4- 18)- (b. -2) , (6-0)-(4.18)W w' Ws ,(-18 + 12), 6 + 72)) K= 15284 (155) .1883942312 %3D 36 +16 +1 64 +36 + 5184 J5284 53
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