Find the unit tangent vector to the curve given below at the specified point. r(t) = 7ti−2t²j¸ t = 4 O T(4) = O T(4)= O T(4)= T(4)= 7 305 -2 305 7 305 i- -i- i- 16 √305 i- 16 305 2 305 14 16 √305 √305 j

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 24E
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Or(t)=8i +5j+5k
Question 10
Find the unit tangent vector to the curve given below at the specified point.
r(t) = 7ti-2t²j, t = 4
O
O
T(4)=
T(4)=
O
O
T(4)=
T(4)=
O
T(4)=
7
√305
-2
√305
14
√305
7
2
i-
√305 √305
i-
7
j-
√305
Question 11
16
√305
16
√305
16
√305
16
√305
j
j
Transcribed Image Text:Or(t)=8i +5j+5k Question 10 Find the unit tangent vector to the curve given below at the specified point. r(t) = 7ti-2t²j, t = 4 O O T(4)= T(4)= O O T(4)= T(4)= O T(4)= 7 √305 -2 √305 14 √305 7 2 i- √305 √305 i- 7 j- √305 Question 11 16 √305 16 √305 16 √305 16 √305 j j
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